Stems are visible for study. Worked solutions stay inside each item and are unofficial.
Q1 · Units / torque
In the following choices, given that the symbols N, m, J, kg, stand for Newton, meter, Joule, and kilogram, respectively, then which one is the correct SI unit of torque?
- A. N
- B. kg m²
- C. N m = J
- D. N m ≠ 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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Q2 · Waves (longitudinal)
Which one of the following waves is an example of longitudinal waves in material medium?
- A. Water wave at depth
- B. P-waves in earthquake
- C. Wave in a string
- D. S-waves in earthquake
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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Q4 · Gravitation / orbital & escape velocity
Which one of the following statements is correct about the difference between orbital and escape velocities of a satellite orbiting the Earth?
- A. Orbital velocity depends on the radius of the Earth, whereas escape velocity depends on the radius of the satellite's orbit.
- B. Escape velocity depends on the radius of the Earth, whereas orbital velocity depends on the radius of the satellite's orbit.
- C. Orbital velocity is inversely proportional to the radius of the Earth, whereas escape velocity is directly proportional to the radius of the Earth.
- D. Orbital velocity depends on the mass of the earth, whereas escape velocity depends on the mass of the satellite.
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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Q5 · AC/DC generators
Which one of the following statements is correct about actions of A.C. and D.C. generators?
- A. The voltage output of D.C. generators varies periodically whereas the voltage output of A.C generator is constant.
- B. The current outputs of both generator A.C. and D.C. generator have constant values.
- C. The voltage induced by A.C. generator reverses its direction periodically whereas by the D.C. generators has a constant value.
- D. The current outputs of both A.C. and D.C. generators reverse their directions periodically.
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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Q6 · Rotational dynamics / work
An electric motor exerts a constant 10 N⋅m torque on a grindstone, which has a moment of inertia of 5.0 kg⋅m2 about its axis. The system starts from rest and turns. What is the work done by the motor in 4.0 s?
- A. 160 J
- B. 40 J
- C. 2 J
- D. 320 J
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 · Electrostatics / Coulomb force
Three charges Q1 = 5 x 10-10 C, Q2 = 2 x 10-10 C and Q3 = 3 x 10-10 C, are placed on the x axis at points x = 0, x = 2 cm and x = 4 cm, respectively, as shown in the figure below. What is the magnitude of electrostatic force exerted on Q2 by the other two charges?
This item uses a figure in the original paper (not redrawn here).
- A. 3.6 x 10-6 N
- B. 9 x 10-7 N
- C. 9 N
- D. 9 x 10-15 N
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 · Capacitors in series / energy
Two capacitors having capacitances C1 and C2 are connected in series to a voltage source of potential difference v. If the total charge stored by the capacitors is Q, the total electrical energy stored by the capacitors is
- A. 1/2(C1 + C2)Q2
- B. C1C2Q2/2(C1 + C2)
- C. Q2/2(C1 + C2)
- D. Q2(C1 + C2)/2C1C2
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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Q9 · Resistors / parallel combination
An experimenter measures a current flowing through a resistor R1 to be 1.3 A by connecting to a voltage source of a potential difference ΔV = 6 V. Next, a second resistor of R2 is added to the circuit with parallel connection. In doing so, the current through R1 is NOT changed but a current of I2 = 2 A flowing through R2 is recorded. What is the value of the effective resistance (R) of the final circuit?
- A. R = R1 + R2 = 1.2 Ω
- B. R = (R1 + R2)/R1R2 = 1.2 Ω
- C. R = (R1R2)/(R1 + R2) = 1.2 Ω
- D. R = R1 + R2 = 5
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 · Magnetism / compass around wire
A long straight wire passing through the origin perpendicular to the xy plane carries a current I. A compass needle is moved around in the xy plane. When it is placed at the point (0, +y), it deflects towards the negative x-axis; while when it is placed at (-x, 0), it deflects towards the negative y-axis. In what direction does the needle deflect when it is placed at (0, -y)?
- A. to the positive x-axis
- B. to the negative y-axis
- C. to the positive y-axis
- D. to the negative x-axis
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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Q11 · Statics / couple
Which one of the following statements correctly defines a couple? Couple is a pair of equal magnitude forces acting on a body
- A. in the same directions to have net torque.
- B. in opposite directions at the same point.
- C. in opposite directions generating a net force.
- D. in opposite directions generating a net torque.
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 · Thermal / latent heat
The amount of heat energy required to change 1 kg of the substance from solid to liquid at its melting point is
- A. specific latent heat of fusion
- B. specific heat capacity
- C. specific latent heat of vaporization
- D. specific heat of boiling
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 · Kinetic theory of gases
Which one of the following is correct about the assumptions made in the kinetic theory of ideal gases?
- A. Collisions between particles of the gas are perfectly inelastic
- B. Newton's laws cannot be applied during collisions between particles of the gas
- C. All particles of the gas have the same value of velocities at any instant
- D. The internal energy of the gas is equal to the kinetic energy of the gas
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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Q14 · Rotational motion / angular velocity
Two points P1 and P2 on a rigid body are located at different distances, d1 and d2 respectively, from the pivot point O as shown in the figure below. If a body is set to rotate about the pivot point O,
This item uses a figure in the original paper (not redrawn here).
- A. P2 completes a cycle before point P1.
- B. P1 and P2 have equal linear speed.
- C. P1 and P2 have equal angular velocity.
- D. P2 has greater linear speed than P1.
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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Q16 · Newton's laws / equilibrium
A body is observed to be moving with constant velocity in a straight line. One can surely conclude that for this body,
- A. no external force is applied on it.
- B. no friction force is acting on it.
- C. constant force is applied on it.
- D. the net external force acting on it is zero.
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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Q17 · Standing waves / closed pipe
The speed of sound wave in one end closed organ pipe of length L is v. For which of the following harmonic frequencies (fn) standing waves through the pipe are formed?
- A. fn = nv/4L, where n = 1,2,3,...
- B. fn = nv/2L, where n = 1,3,5,...
- C. fn = nv/4L, where n = 1,3,5,...
- D. fn = nv/2L, where n = 1,2,3,...
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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Q18 · Angular momentum / impulse
A constant torque of 80 Nm is applied to the rim of a flywheel for 2 s. If the flywheel initially has angular momentum of 40 kgm2/s, what will be its final angular momentum?
- A. 200 kgm2/s
- B. 40 kgm2/s
- C. 160 kgm2/s
- D. 120 kgm2/
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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Q19 · Elasticity / Young's modulus
A load of 4 kg is applied to the ends of a wire 5 m and cross sectional area 4 mm2 to produce an extension of 0.40 mm. What is the Young's modulus of the wire?
- A. 1.25×1010 Nm-2
- B. 1.25×1011 Nm-2
- C. 8.00×1011 Nm-2
- D. 8.00×1010 Nm-2
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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Q20 · Thermodynamics / Mayer relation
Molar heat capacity of an ideal gas at a constant pressure and constant volume are given by CP and CV respectively. If R is a universal gas constant, which one of the following equation is correct about the relation between CP and CV?
- A. CP - CV = R
- B. CV - CP = 2R
- C. CV - CP = R
- D. CP - CV = 2R
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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Q21 · Waves / definitions
A continuous and periodic disturbance of particles of medium or fields is known as
- A. pulse
- B. wave front
- C. wave speed
- D. wave
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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Q22 · Kinematics / distance vs displacement
Which of the following statements correctly explains the difference between distance and displacement for an object that does not move in a straight line?
- A. Distance can be zero whereas displacement is not
- B. Displacement has larger magnitude than distance
- C. Displacement can be zero whereas distance is not
- D. Distance is a shortest path whereas displacement is the actual path travelled by the object
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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Q23 · Renewable energy
Which one of the following types of renewable energy resources are characterized by no emission of greenhouse gases?
- A. Hydroelectric and Wind energy
- B. Wind and Geothermal energy
- C. Solar and Wind energy
- D. Geothermal and Solar energy
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 · Dynamics / equilibrium
Which one of the following bodies is in linear equilibrium?
- A. A body moving with constantly changing velocity in straight line
- B. A body moving with constant velocity
- C. A body in uniformly accelerated motion in a straight line
- D. A body acted upon by a single constant force
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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Q25 · Vectors / resultant displacement
A car travelled 4 km towards east and then 3 km towards north. What is the angle of the resultant displacement from east?
- A. tan-1(4/3)
- B. tan-1(3/4)
- C. tan-1(4/5)
- D. tan-1(3/5)
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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Q26 · Free fall
A ball is dropped off from the top of a 20 m high cliff. How long it takes to hit the ground?
- A. 4 s
- B. 10 s
- C. 2 s
- D. 5 s
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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Q27 · Dynamics / apparent weight
A student of mass 40 kg is in a lift moving upward with an acceleration of 2.5 m/s2. What is the apparent weight of the student?
- A. 500 N
- B. 800 N
- C. 400 N
- D. 300 N
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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Q28 · Machines / wheel and axle
A farmer pulls out a bucket of water from a well with wheel and axle with radii of 30 cm and 6 cm respectively. Assuming no energy losses, what effort should be applied on the wheel in order to lift a load of 40 N on the axle?
- A. 20 N
- B. 8 N
- C. 5 N
- D. 40 N
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 · Thermal expansion / area
A square shaped body of side length l0 is heated to raise its temperature by ΔT in Kelvin. If α stands for coefficient of linear expansion and β being coefficient of area expansion, which one of the following expressions is correct for area (A) of the body, after the temperature changed by ΔT?
- A. A = l02(1 + 2αΔT)
- B. A = l02(1 + α2ΔT)
- C. A = l02(1 + 2βΔT)
- D. A = l02(1 + 2βΔT)
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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Q30 · Fluid pressure / barometer
In order to measure atmospheric pressure in a given location, a student used a dish with mercury, a test tube of 4 mm radius closed at one end and a meter stick. The student inserted the open end of the tube in mercury inside the dish and left the dish open to the atmosphere as shown in the figure below. If the mercury was observed to be pushed up to raise in the tube by 500 mm, what is the atmospheric pressure in that location? (ρmercury = 13600 kg/m3)
This item uses a figure in the original paper (not redrawn here).
- A. 101 kPa
- B. 340 kPa
- C. 68 kPa
- D. 27 kPa
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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Q31 · Magnetism / Biot-Savart law
Which one of the following statements is correct about Biot-Savart law?
- A. It describes the values of magnetic torque on a coil of wire
- B. It is used to determine the values for magnetic field strength of a current carrying element
- C. It describes the relationship between electric fields and magnetic fields
- D. It is used to determine the magnetic force on a current carrying conductor
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 · AC circuits / capacitive reactance
A capacitor with a capacitance of C is connected to an AC power supply producing a sinusoidal voltage of peak value vp and frequency f. The capacitive reactance (Xc) of the circuit is
- A. Xc = 2πfC
- B. Xc = 2πf/C
- C. Xc = √(R²+ω²C²)
- D. Xc = 1/2πfC
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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Q33 · Magnetism / tangent galvanometer
A tangent galvanometer is set so that the plane of its coil is along the Earth's magnetic meridian. When current is passed through the galvanometer, its compass needle deflects by an angle θ. If Bv and Bh are the vertical and horizontal components of the Earth's magnetic field, the current through the coil is proportional to
- A. Bv cos θ
- B. Bh tan θ
- C. Bh cos θ
- D. Bv tan θ
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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Q34 · AC circuits / phase in capacitor
The current I through and voltage V across a purely capacitive AC circuit can be put as a sinusoidal function with respective peak values of I0 and V0. Assuming the angular frequency of the AC source is ω, which of the following sinusoidal function correctly represent I and V in the circuit as a function of time t?
- A. I = I0 sin(ωt + π/2) and V = V0sin(ωt)
- B. I = I0 sin(ωt + π/4) and V = V0sin(ωt - π/2)
- C. I = I0sin(ωt) and V = V0sin(ωt + π/2)
- D. I = I0sin(ωt) and V = V0sin(ωt)
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 · Interference of waves
Which of the following statements is correct comparison of destructive and constructive interference of light wave with wave along a string?
- A. Constructive interference of two waves on a string causes node, while constructive interference of two light waves cause brightness
- B. Constructive interference of two waves on a string gives rise to an antinode, while constructive interference of two light waves gives rise to brightness
- C. Destructive interference of two waves on a string causes an antinode, while destructive interference of two light waves causes maxima
- D. Destructive interference of two waves on a string results in maximum amplitude, while destructive interference of two light waves results in maximum intensity
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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Q36 · Electrostatics / electric potential
A point charge of Q = 2 × 10-8 C is placed in xy plane at the coordinate position of (4, 2) cm. What is the value of the electric potential produced by the charge at a point P which is located at coordinate position of (7, -2) cm?
- A. 4 kV
- B. 6 kV
- C. 3.6 kV
- D. 2.5 kV
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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Q37 · Capacitors / dielectric energy
Two equal parallel plate capacitors are connected in parallel to a 10 V battery. When the space between the plates is air, each capacitor has a capacitance of 2 x 10-12 F. If the space between the plates is completely filled with dielectric materials with dielectric constants 500 and 1000 respectively, the total electrical energy stored by the capacitors is
- A. 0.15 μJ
- B. 0.33 nJ
- C. 0.15 nJ
- D. 0.33 μJ
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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Q39 · Quantum / uncertainty principle
A light radiation is used to measure the position of an electron of wavelength 3 x 10-11 m. If the uncertainty in the momentum (ΔP) is 2.21 x 10-23 kgm/s, then according to the uncertainty principle, which one of the following is an acceptable value of the uncertainty in the position (Δx) of the electron?
- A. Δx = 3.0 x 10-13 m
- B. Δx = 1.5 x 10-15 m
- C. Δx = 3.0 x 10-11 m
- D. Δx = 1.5 x 10-14 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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Q40 · Radioactivity / half-life
A radioactive material initially consisting of 108 particles decays over time according to the decay law, where λ = 3 x 10-12 s-1 is the decay constant. The half-life is (ln 2 = 0.693)
- A. 2.04 x 1011 s
- B. 4.33 x 1012 s
- C. 3.69 x 1012 s
- D. 2.3 x 1011 s
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 · Fundamental forces
One of the four fundamental forces of nature acting over long distances and purely attractive is
- A. electromagnetic force
- B. strong nuclear force
- C. weak nuclear force
- D. gravitational force
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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Q42 · Vectors and scalars
Which one of the following set contains vectors ONLY?
- A. {Velocity, Force, Momentum}
- B. {Time, Acceleration, Displacement}
- C. {Momentum, Energy, Force}
- D. {Acceleration, Mass, Velocity}
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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Q43 · Experimental method
Suppose you are going to investigate the relation between current through and voltage across a resistor by measuring them five times. Which one of the following should be performed before taking the measurements?
- A. Computing the uncertainty
- B. Clearly describe the method
- C. Presenting the possible results
- D. Performing the analysis
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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Q45 · Optics / apparent depth
A man looks down at a coin that lies at the bottom of a glass container of liquid of depth d = 12 cm and index of refraction, n. Because of the view of eye, the coin appears to be located at a depth of 9 cm below the surface of the liquid. What is the value of n?
- A. 3/2
- B. 5/3
- C. 3/4
- D. 4/3
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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Q47 · Kinematics / equations of motion
Starting from rest, a particle accelerates uniformly with an acceleration of magnitude a. After time interval t, the particle covers a distance s and attains a velocity of magnitude v. Which one of the following equations correctly describes the distance moved during this time interval t?
- A. s = 1/2 at
- B. s = vt²/2
- C. s = vt
- D. s = v²/2a
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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Q48 · Gravitation / satellite motion
Consider two satellites A and B with mass mA and mB respectively, and orbiting the earth at height hA and hB above the earth's surface. Which one of the following statements correctly describes the motion of these satellites?
- A. If mA > mB, satellite A's period is shorter than that of B
- B. If hA > hB, the period satellite A is longer than that of B
- C. If hA > hB, satellite A orbits faster than that of B
- D. If mA > mB, satellite A orbits faster than that of B
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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Q50 · Work-energy theorem
If a ball is thrown vertically upward with an initial velocity of v0 and reaches a maximum height h after time t, then during the time interval
- A. work done by gravity is greater than the initial kinetic energy
- B. work done by gravity is positive since kinetic energy increases
- C. work done by gravity equals the kinetic energy at h
- D. work done by gravity equals the change in the kinetic energy of the ball
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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