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Unofficial practice · EUEE

2018 E.C. Physics EUEE past paper

55 questions · 2018 E.C. / 2026 G.C. · Natural stream · unofficial

Unofficial practice for the 2018 E.C. / 2026 G.C. Physics Ethiopian University Entrance Exam (EUEE / matric). 55 question stems from the Abrari bank are listed below. Not an official Ministry, EAES, MoLS, or OCACC paper.

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Unofficial EUEE past-paper items. Not an official key.

1 / 5physicselectrostatics / charging by induction

During a charging process by induction, a positively charged rod is brought close to a neutral metal sphere mounted on an insulated stand without touching it. Then, the metal sphere:

Unofficial practice. Abrari is an independent study aid and is not affiliated with, endorsed by, or an official product of the Ethiopian Ministry of Education (MoE), EAES, MoLS, or OCACC. Answers are Abrari keys, not an official marking scheme.

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Stems are visible for study. Worked solutions stay inside each item and are unofficial.

Q1 · electrostatics / charging by induction

During a charging process by induction, a positively charged rod is brought close to a neutral metal sphere mounted on an insulated stand without touching it. Then, the metal sphere:
  1. A. becomes positively charged, whenever it is grounded.
  2. B. loses some electrons, whenever it is grounded.
  3. C. gains some electrons, whenever it is grounded.
  4. D. gains some protons whenever it is grounded.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q2 · electrostatics / electroscope

A positively charged rod is brought near to a neutral electroscope A and a negatively charged rod is brought near to a neutral electroscope B. What will happen to the gold foils of the electroscopes? The gold foils of:
  1. A. both electroscopes attract each other.
  2. B. both electroscopes repel each other.
  3. C. electroscope A repels and that of B attracts each other.
  4. D. electroscope A attract and that of B repels each other.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q3 · kinematics equations

A particle moving with a speed of v0v_0 to the right starts accelerating uniformly with acceleration aa. The total distance covered by the particle during the time interval tt is ss. Assuming the right direction is positive, which one of the following equations enables us to calculate the time tt in terms of v0v_0, aa and ss?
  1. A. t=−v0+v02+2asat = \dfrac{-v_0 + \sqrt{v_0^2 + 2as}}{a}
  2. B. t=−v0+v02+2as2at = \dfrac{-v_0 + \sqrt{v_0^2 + 2as}}{2a}
  3. C. t=v0+v02+2asat = \dfrac{v_0 + \sqrt{v_0^2 + 2as}}{a}
  4. D. t=v0−v02+2as2at = \dfrac{v_0 - \sqrt{v_0^2 + 2as}}{2a}
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q4 · kinematics / position-time graph

The figure shown below represents the position-time graph of uniformly accelerated ball in a straight line. The instantaneous velocity of the ball at point x is equal to:

[Figure: position (m) vs time (s) graph. A curve rises from position S1S_1 at time t1t_1 to S3S_3 at t3t_3; point x on the curve corresponds to position S2S_2 at time t2t_2.]
  1. A. the average velocity during the time interval between t1t_1 and t3t_3.
  2. B. the ratio of the position at x (s2s_2) to the time t2t_2.
  3. C. the total distance travelled to the total time, t3−t1t_3 - t_1.
  4. D. the slope of the tangent line at point x.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q5 · elasticity / strain

A weight of 1000 N suspended from an aluminum wire of length 2.5 m causes a 4.0×10−34.0 \times 10^{-3} tensile strain on the wire. What is the change in length of the aluminum wire?
  1. A. 10 cm
  2. B. 0.01 cm
  3. C. 0.1 cm
  4. D. 1 cm
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q6 · electromagnetic induction / Lenz's law

For a coil placed in a variable magnetic field, Lenz's law states that the direction of the induced current in the coil is in such a way as to:
  1. A. oppose the flux change through the coil.
  2. B. make the flux through the coil zero.
  3. C. increase the flux through the coil.
  4. D. decrease the flux through the coil.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q7 · electronics / transistor doping

Considering the concentration of dopants in different section of a transistors, which one of the following describes a correct order from lowest to highest?
  1. A. Collector, Base, Emitter
  2. B. Base, Collector, Emitter
  3. C. Emitter, Base, Collector
  4. D. Base, Emitter, Collector
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q8 · electronics / transistor configurations

Which of the following circuit diagrams correctly represents a transistor configurations that is used to get both current and voltage gain?

[Figure: four transistor circuits. Diagram A: NPN transistor, base B as input, collector C at the top (output), emitter E at the bottom connected to the common line. Diagram B: collector C on the left, emitter E on the right, base B at the bottom connected to the common line. Diagram C: base B on the left as input, emitter E at the top, collector C at the bottom connected to the common line. Diagram D: emitter E on the left, collector C on the right, base B at the bottom connected to the common line.]
  1. A. Diagram A
  2. B. Diagram B
  3. C. Diagram C
  4. D. Diagram D
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q9 · magnetic field of a straight wire

If the magnitude of magnetic field produced at a distance of 2 cm from a long straight current carrying wire is 1.2 T, then what is the magnitude of magnetic field at a distance of 3 cm from the wire?
  1. A. 0.6 T
  2. B. 1.2 T
  3. C. 0.8 T
  4. D. 1.8 T
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q10 · transformers

Suppose a 50 Hz outlet voltage of 10,000 V needs to be reduced to 220 V using a stepdown transformer. How many turns does the primary coil on the transformer have if the secondary coil has 110 turns?
  1. A. 550
  2. B. 5000
  3. C. 110
  4. D. 1000
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q11 · kinematics / acceleration

The acceleration of an object is defined as the time rate of change in:
  1. A. displacement of the object.
  2. B. distance travelled by the object.
  3. C. position of the object.
  4. D. velocity of the object.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q12 · simple machines / efficiency

The efficiency of a simple machine is defined as the ratio between:
  1. A. mechanical advantage and velocity ratio.
  2. B. work input and velocity ratio.
  3. C. work output and mechanical advantage.
  4. D. work output and velocity ratio.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q13 · friction

Static friction force is different from kinetic friction force in that, it:
  1. A. is a friction force between two objects that are moving relative to each other.
  2. B. has higher value in smooth surfaces than in rough surfaces.
  3. C. is a friction force between two objects that are at rest relative to each other.
  4. D. has a maximum value which is often lower than the kinetic friction force.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q14 · simple machines

Which one of the following statements is correct about simple machines?
  1. A. A machine which is designed so that its mechanical advantage is less than 1 is called a force multiplier.
  2. B. When a machine is designed so that its velocity ratio is less than 1 is called a speed multiplier.
  3. C. A machine can be designed to be a force multiplier, a speed multiplier, and a direction changer at the same time.
  4. D. When a machine is designed so that its velocity ratio is greater than 1, it is called a speed multiplier.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q15 · work and power

A forklift truck applied a force of F = 30 N, East on an object and dragged it through a distance of 200 m along a horizontal frictionless surface in a time of 5 minutes. The average power output of the truck is:
  1. A. 20 W
  2. B. 200 W
  3. C. 1800 W
  4. D. 1200 W
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q16 · kinematics / velocity-time graph

The velocity-time graph of a moving object along a straight line is shown in the figure below. What is the total displacement of the object during the total period of motion?

[Figure: velocity (m/s, from -2 to 2) vs time (s, from 0 to 12) graph. The velocity rises linearly from (0, 0) to (2, 2), stays at 2 m/s until t = 6 s, decreases linearly to 0 at t = 8 s, continues down to -2 m/s at t = 9 s, rises back to 0 at t = 10 s, and stays at 0 until t = 12 s.]
  1. A. 14 m
  2. B. 8 m
  3. C. 10 m
  4. D. 12 m
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q17 · waves

Which one of the following statements correctly defines the characteristic feature of a mechanical waves?
  1. A. The number of complete waves passing a given point per second is called time period.
  2. B. The distance between two adjacent peaks of the wave is called amplitude.
  3. C. The distance that the wave travels in one second is called frequency.
  4. D. The minimum distance between two identical points on adjacent waves is called wavelength.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q18 · sound / speed of sound

The speed of sound is greatest in which one of the following materials?
  1. A. Water
  2. B. Copper
  3. C. Oil
  4. D. Air
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q19 · vectors / representation

Which one of the following statements is correct about graphical and algebraic representation of a vector? Vector is represented:
  1. A. graphically by an arrow in which the length of the arrow represents the magnitude of the vector to the appropriate chosen scale.
  2. B. graphically by an arrow in which the length of the arrow is equal to the magnitude of the vector.
  3. C. algebraically by a segment line in which the length of the segment line represents the magnitude of the vector.
  4. D. graphically by a bold letter A\mathbf{A} or with an arrow over the letter like A⃗\vec{A}.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q20 · simple machines / lever

A simple first-class lever machine is used to lift a load of 500 N by applying an effort of 300 N, as shown in the diagram below. What is the velocity ratio of the machine?

[Figure: first-class lever with the fulcrum in the middle. The load is 2 m from the fulcrum on the left; the downward effort is applied 5 m from the fulcrum on the right.]
  1. A. 0.40
  2. B. 0.60
  3. C. 2.50
  4. D. 1.67
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q21 · kinematics / average velocity

A car moves at speed of 80.0 km/hr for 1.0 hour to East then back to West in which it travels at speed of 60.0 km/hr for 2.0 hrs. What is the average velocity of the car during its motion?
  1. A. 66.7 km/hr, West
  2. B. 13.3 km/hr, West
  3. C. 66.7 km/hr, East
  4. D. 13.3 km/hr, East
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q22 · fluid statics / Pascal's principle

Pascal's principle states that a pressure added at the top of a liquid at rest in a cylindrical shape container:
  1. A. increases the pressure at any point in the liquid by a greater amount than that added at the top.
  2. B. increases the pressure at any point in the liquid by the same amount as that added at the top.
  3. C. decreases the pressure at any point in the liquid by the same amount as that added at the top.
  4. D. increases the pressure at any point in the liquid by a smaller amount than that added at the top.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q23 · pressure / applications

A high-pressure system can be applied to:
  1. A. reduce the gas in the bicycle and car tires.
  2. B. biological sample to increase micro-organism activity.
  3. C. transport a fluid through a pipe.
  4. D. generate cold water from steam or super-heated water.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q24 · fluid dynamics / steady and turbulent flow

Which one of the following statements is correct about the characteristics of steady and turbulent fluid flow?
  1. A. In steady flow, the adjacent layers of fluid do not cross each other unlike in the turbulent flow.
  2. B. In each flow, the lines along which fluid particles move do not cross each other.
  3. C. In each flow, fluid particles pass a given point in space with the same velocity.
  4. D. In turbulent flow, the velocity of a fluid particles is the same at same point of a flow line in space unlike in the steady flow.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q25 · gravitation / Kepler's third law

Our planet Earth has an orbital period of 365 days and its mean distance from the Sun is Re=1.495×108R_e = 1.495 \times 10^{8} km. If there is another unknown planet whose mean distance from the Sun is R=4ReR = 4R_e, how much is an orbital period of the unknown planet in terms of the days on the Earth?
  1. A. 1460 days
  2. B. 730 days
  3. C. 23360 days
  4. D. 2920 days
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q26 · vectors / unit vector

A unit vector is defined as:
  1. A. a small vector in the direction of a given vector.
  2. B. a vector of magnitude zero, with arbitrary direction.
  3. C. a vector of magnitude one, with specified unit.
  4. D. a vector of magnitude one, with no unit.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q27 · physics and society

Which of the following statements does NOT explain the importance of physics to society? Physics helps society by its direct contribution in:
  1. A. the development of medical equipment.
  2. B. the development of cleaner energy sources.
  3. C. maintaining equality and justice in the society.
  4. D. developing strategies to combat climate change.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q28 · optics / refracting telescope

To form an image of a distant object, the refracting telescope uses:
  1. A. a convex mirror to collect light and forms an image which is magnified by the convex lens of the eyepiece.
  2. B. an objective convex lens to collect light and form an image which is magnified by the convex lens of the eyepiece.
  3. C. a convex mirror to collect light and forms an image which is magnified by the concave lens of the eyepiece.
  4. D. an objective concave lens to collect light and forms an image which is magnified by the concave lens of the eyepiece.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q29 · optics / plane mirrors

Two plane mirrors inclined at an angle of 72∘72^\circ to each other. How many images are formed when an object is placed between them?
  1. A. 5
  2. B. 3
  3. C. 6
  4. D. 4
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q30 · vectors / dot product

Given two vectors P=−5i+3j\mathbf{P} = -5\mathbf{i} + 3\mathbf{j} and Q=2i+j\mathbf{Q} = 2\mathbf{i} + \mathbf{j}, what is the dot product of the vectors?
  1. A. 7
  2. B. -13
  3. C. 13
  4. D. -7
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q31 · impulse / momentum

During collision between two objects, the impulse imparted on each object is equal to the:
  1. A. net force acting on the object divided by the time for collision.
  2. B. change in momentum of the object.
  3. C. product of change in momentum and time for collision.
  4. D. change of momentum of the object divided by the time for collision.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q32 · kinematics / displacement-time graph

The displacement versus time graph of an object undergoing linear motion is shown in the figure below. For the motion during the time interval between:

[Figure: displacement (m) vs time (s) graph. From the origin to t1t_1 the curve rises with increasing slope; from t1t_1 to t2t_2 it is a horizontal straight line; from t2t_2 to t3t_3 it is a straight line rising with constant positive slope.]
  1. A. t2t_2 and t3t_3, the object is moving with a non-zero constant acceleration.
  2. B. t2t_2 and t3t_3, the velocity of the object is increasing and it is accelerating.
  3. C. 0 and t1t_1, the velocity of the object is increasing and it is accelerating.
  4. D. t1t_1 and t2t_2, the object is moving with a non-zero constant velocity.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q33 · energy conservation

In an automobile that contains engine and fuel, chemical energy of the fuel is partially converted to kinetic energy of the automobile and partially to thermal energy. In this process, the:
  1. A. energy of the automobile is not conserved because it does not exist persistently in chemical form.
  2. B. kinetic energy of the automobile is considered as a created energy because it appears in a new form.
  3. C. amount of energy converted to thermal energy is considered as destroyed because it decreases the efficiency of the automobile.
  4. D. energy of the automobile is conserved because it is not destroyed but converted to kinetic and thermal energies.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q34 · rotational motion / centripetal acceleration

A uniform disk of radius 10.0 cm is rotating at an angular velocity of 20.0 rad/s about an axis through its center. What is the centripetal acceleration of a point at a distance of 6.0 cm from the axis?
  1. A. 24.0 m/s224.0\ \mathrm{m/s^2}
  2. B. 40.0 m/s240.0\ \mathrm{m/s^2}
  3. C. 2.0 m/s22.0\ \mathrm{m/s^2}
  4. D. 1.2 m/s21.2\ \mathrm{m/s^2}
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q35 · dynamics / friction

A block of mass 20.0 kg is placed on a horizontal surface. If the coefficient of kinetic friction between the block and the surface is 0.25, what force must be applied on the block to accelerate it uniformly with 3.0 m/s23.0\ \mathrm{m/s^2}?
  1. A. 50 N
  2. B. 40.0 m/s240.0\ \mathrm{m/s^2}
  3. C. 110 N
  4. D. 10 N
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q36 · center of mass

A 0.3 kg ball moving with a velocity of 0.9 m/s along the positive x-axis collides with a 0.2 kg ball moving with a velocity of 1.2 m/s along the negative x-axis. What is the velocity of the center of mass of the two balls before collision?
  1. A. 1.02 m/s along the negative x-axis
  2. B. 0.06 m/s along the negative x-axis
  3. C. 1.02 m/s along the positive x-axis
  4. D. 0.06 m/s along the positive x-axis
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q37 · heat / specific heat capacity

What amount of heat energy is required to raise the temperature of 0.15 kg of silver from 20∘C20^\circ\mathrm{C} to 100∘C100^\circ\mathrm{C}? (Specific heat capacity of silver is 233.0 J/kg ∘C233.0\ \mathrm{J/kg\,^\circ C})
  1. A. 699.0 J
  2. B. 3495.0 J
  3. C. 2796.0 J
  4. D. 4194.0 J
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q38 · nuclear physics / radioactivity

Radioactivity is defined as:
  1. A. the spontaneous emission of electromagnetic radiation from a heavy nucleus.
  2. B. the disintegration of a heavy nuclei into two lighter nuclei when bombarded by a neutron.
  3. C. the spontaneous disintegration of unstable nuclei to form more stable nuclei.
  4. D. a phenomenon where by a single heavy nucleus is assembled from two or more lighter nuclei.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q39 · medical physics / X-ray and CT

The difference between conventional X-ray and CT-scan is that in the case of X-ray the machine that sends X-rays through the patient's body is:
  1. A. rotating, whereas in CT-scan a stationary X-ray machine is used.
  2. B. stationary but the patient is moving, unlike in case of CT scan.
  3. C. stationary, whereas in CT-scan a rotating X-ray machine is used.
  4. D. rotating in the opposite direction of the detector which are stationary in the case of CT-scan.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q40 · nuclear physics / binding energy

What is the binding energy of the nucleus of helium 24He^{4}_{2}\mathrm{He}? (Mass of 24He^{4}_{2}\mathrm{He} = 4.002603 u, mpm_p = 1.007900 u, mnm_n = 1.008665 u, 1 u = 931.1 MeV)
  1. A. 30.847 MeV
  2. B. 7.106 MeV
  3. C. 33.271 MeV
  4. D. 28.424 MeV
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q41 · rotational dynamics / torque

A force FF acts on an object of mass mm and produces an angular displacement Δθ\Delta\theta, and angular acceleration α\alpha in a time interval Δt\Delta t. If the moment of inertia of the object about the axis of rotation is II, the magnitude of torque τ\tau on the object is expressed as:
  1. A. τ=Iα\tau = I\alpha
  2. B. τ=Fa\tau = Fa
  3. C. τ=I/α\tau = I/\alpha
  4. D. τ=ma\tau = ma
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q42 · physics in defense technology

Which one of the following statements appropriately describes the application of physics knowledge in defense technology?
  1. A. Infrared devices are used in the military to magnify objects that can be seen with ordinary light.
  2. B. Radar is used for military purposes like controlling air traffic, observation of weather, and navigation of ships.
  3. C. Radar is used for military purposes to detect a distant object by using sound waves signal.
  4. D. Infrared devices are used by the military for purposes like night vision, navigation, hunting, and detecting hidden-objects.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q43 · projectile motion

A horizontal distance jumper athlete jumps from the ground with initial speed vv at an angle θ\theta with the horizontal. For the constant initial speed, the range RR is related to the maximum height hh
  1. A. R=3hR = 3h if θ=37∘\theta = 37^\circ
  2. B. R=2.3hR = 2.3h if θ=30∘\theta = 30^\circ
  3. C. R=4hR = 4h if θ=45∘\theta = 45^\circ
  4. D. R=5.33hR = 5.33h if θ=53∘\theta = 53^\circ
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q44 · magnetism / field lines

Which one of the following statements is correct about the property of magnetic field lines?
  1. A. Magnetic field lines cross each other.
  2. B. Outside a bar magnets, magnetic field lines emerge from the south pole and enter to the north pole.
  3. C. Magnetic field lines are closer to each other in a region where the magnetic field is weaker.
  4. D. Magnetic field lines form closed loops.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q45 · DC circuits / series and parallel

Three resistors R1R_1, R2R_2, and R3R_3 are connected first in series and then in parallel with identical voltage source (VsV_s). The potential differences across the resistors are measured with voltmeters and represented by V1,V2,…,V6V_1, V_2, \ldots, V_6 as shown in the figure below. Which one of the following relations is correct about the potential differences across the resistors and the applied voltage source?

[Figure: two circuits. Left: R1R_1, R2R_2, R3R_3 in series with source VsV_s; voltmeters across them read V1V_1, V2V_2, V3V_3. Right: the same resistors in parallel with an identical source VsV_s; voltmeters across them read V4V_4, V5V_5, V6V_6.]
  1. A. V4+V5+V6=VsV_4 + V_5 + V_6 = V_s
  2. B. V4=V5=V6=VsV_4 = V_5 = V_6 = V_s
  3. C. V1=V2=V3=VsV_1 = V_2 = V_3 = V_s
  4. D. V1+V2+V3=V4+V5+V6V_1 + V_2 + V_3 = V_4 + V_5 + V_6
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q46 · electrostatics / Coulomb's law

Two equal point charges of +3.6×10−6+3.6 \times 10^{-6} C are placed 1.0 cm apart to each other. What is the magnitude of the electrostatic force between the charges?
  1. A. 117 N
  2. B. 11.7 N
  3. C. 1170 N
  4. D. 1.17 N
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q47 · optics / refraction

A light ray passing from air to glass has an angle of incidence 37∘37^\circ with the normal. If the refractive index of the glass is 1.54, what is the angle of refraction of the light?
  1. A. θ=sin⁡−1(0.39)\theta = \sin^{-1}(0.39)
  2. B. θ=sin⁡−1(1.0)\theta = \sin^{-1}(1.0)
  3. C. θ=sin⁡−1(0.54)\theta = \sin^{-1}(0.54)
  4. D. θ=sin⁡−1(0.92)\theta = \sin^{-1}(0.92)
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q48 · electromagnetic spectrum

Suppose the figure shown below represents some portion of the electromagnetic spectrum. Which one of the following is correct about the nature of the electromagnetic waves represented by

[Figure: a strip of six adjacent boxes for part of the electromagnetic spectrum, labelled from left to right: X at the far left, an arrow marked λ\lambda pointing right above the third divider, then Infrared, visible, Ultraviolet, and Y at the far right.]
  1. A. Waves Y have higher speed than waves X.
  2. B. Waves X have longer wavelength than waves Y.
  3. C. Waves X have higher frequency than waves Y.
  4. D. Waves X and Y has the same frequency.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q49 · magnetic force on a moving charge

An electron moving at speed of 5.0×1075.0 \times 10^{7} m/s along the positive x-axis enters a uniform magnetic field of 1.5 T directed along the negative y-axis as shown in the figure below. What is the magnetic force exerted on the electron at the moment it enters into the uniform magnetic field?

[Figure: x-y axes. A charge q at the origin moves with velocity v⃗\vec{v} along +x; a uniform field B⃗\vec{B}, drawn as downward dashed lines, points along -y.]
  1. A. 1.2×10−111.2 \times 10^{-11} N, directed into the page
  2. B. 8.0×10−128.0 \times 10^{-12} N, directed out of the page
  3. C. 8.0×10−128.0 \times 10^{-12} N, directed into the page
  4. D. 1.2×10−111.2 \times 10^{-11} N, directed out of the page
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q50 · capacitors / dielectric

A nonconducting material that is inserted between the plates of a capacitor is known as:
  1. A. semiconductor
  2. B. inductor
  3. C. dielectric
  4. D. superconductor
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q51 · heat / specific heat capacity

Which one of the following quantities is required to determine the specific heat capacity of a substance?
  1. A. The density of the substance
  2. B. The mass of the substance
  3. C. The boiling point of the substance
  4. D. The volume of the substance
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q52 · electric field lines

Which one of the following statements is correct about electric field lines?
  1. A. The closer the electric field lines are, the stronger is the electric field.
  2. B. Electric field lines are parallel to the surface of the charged body.
  3. C. For a positively charged particle, the electric field lines point radially inward to the particle.
  4. D. Electric field lines of a charged body cross one another.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q53 · phase changes / critical and boiling points

Which one of the following statements is correct about critical and boiling points?
  1. A. The boiling point of a substance is constant independent of pressure, while its critical point is dependent on the surrounding temperature.
  2. B. At the boiling point a single gaseous phase exists, while at the critical point both the liquid and gas phases coexist.
  3. C. The critical point is dependent both on temperature and pressure, while boiling point is independent of the surrounding pressure.
  4. D. The critical point of a substance is constant, while its boiling point is dependent on the surrounding pressure.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q54 · thermal expansion

A 25.0 liter container made of copper is completely filled with glycerin at a temperature of 20∘C20^\circ\mathrm{C}. The coefficient of linear expansion of copper is α=1.7×10−5 ∘C−1\alpha = 1.7 \times 10^{-5}\ ^\circ\mathrm{C}^{-1} and that of volume expansion of glycerin is β=4.8×10−4 ∘C−1\beta = 4.8 \times 10^{-4}\ ^\circ\mathrm{C}^{-1}. If the system is heated to a temperature of 80∘C80^\circ\mathrm{C}, what volume of glycerin will overflow from the container?
  1. A. 0.651 liter
  2. B. 0.804 liter
  3. C. 0.868 liter
  4. D. 1.085 liter
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q55 · DC circuits / Kirchhoff's rules

A circuit shown below consists of three resistors and two batteries. The magnitude of current denoted by ∣I3∣|I_3| is:

[Figure: two-loop rectangular circuit. Top branch: 9 V battery in series with a 5 Ω resistor. Middle horizontal branch (joining the left and right sides): 4 Ω resistor carrying I3I_3 to the right. Bottom branch: 6 V battery in series with a 3 Ω resistor. On the left side, I2I_2 points downward and I1I_1 points upward near the bottom-left corner.]
  1. A. 0.38 A
  2. B. 0.83 A
  3. C. 1.21 A
  4. D. 0.45 A
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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