Unofficial practice for the 2015 E.C. / 2023 G.C. Physics Ethiopian University Entrance Exam (EUEE / matric). 42 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 / 5physicsElectric field units
Which one of the following units is NOT a possible unit of electric field strength?
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.
What is the acceleration due to gravity at an altitude twice the radius of the Earth? (gE is the gravitational acceleration on the surface of the Earth).
A.3gE
B.9gE
C.3gE
D.4gE
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.
A 64 V battery is connected to a series combination of 3 kΩ bulb and 4 kΩ electric iron. If the total current in the circuit is 8 mA, what is the internal resistance of the battery?
A. 1 kΩ
B. 7 kΩ
C. 8 kΩ
D. 15 kΩ
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.
A solenoid with 5000 turns and length 1m carries 15A of current. If no iron core is inserted in the solenoid, what is the magnetic field strength at the center of the solenoid?
A.20π×10−2 T
B.6π×10−2 T
C.3π×10−2 T
D.4π×10−2 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.
A small source emits sound waves which are spherical. The intensity of the sound wave measures at a distance r = 3.0 m from the source is 1.5 W/m². At what distance from the source would the intensity be one-fourth as much as it is at r = 3.0 m?
A.12.0 m
B.9.0 m
C.4.5 m
D.6.0 m
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.
Light ray is allowed to enter from air medium (nair=1) into water medium (index of refraction nw=34) at an angle of 30∘ with the normal to air-water interface (boundary). Which one of the following is correct about the ray of light?
A. The sine of the angle of refraction of the light ray in water is equal to 0.5.
B. The sine of the angle of refraction of the light ray in water is equal to 0.38.
C. The speed of the light ray in water is 1.33 times that of its speed in air.
D. The speed of the light ray in water is 0.9 times that of its speed in 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.
Which one of the following statements is correct about critical and boiling points of a substance?
A. The critical point and the boiling point of a substance occur at the same specific temperature and pressure.
B. Both critical temperature and boiling point of a substance can be increased or decreased based on the pressure of the surrounding.
C. The boiling point of a substance can be different based on the pressure of the surrounding whereas critical point occurs at one specific pressure and temperature.
D. The critical temperature of a substance can be increased or decreased based on the pressure of the surrounding whereas boiling point does not vary with the pressure of the surrounding.
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.
A 30 kg rigid object has a moment of inertia 45 kg⋅m2 about its center of mass. What is the object's moment of inertia when it rotates through an axis 2 m away and parallel to the axis through its center of mass?
A. 90 kg⋅m2
B. 165 kg⋅m2
C. 180 kg⋅m2
D. 105 kg⋅m2
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.
Water flows at the rate of 500.0 cm³/s at small cross-section 5 cm². The larger cross-section is 25 cm². What is the ratio of the speed of the water at A₁ to A₂.
This item uses a figure in the original paper (not redrawn here).
A. 5
B. 100
C. 0.2
D. 20
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.
An ideal monoatomic gas expands adiabatically from an initial volume of 2 liters at a temperature of 300 K to 16 liters of volume. What is the final temperature of the gas? (Use the ratio of specific heat capacity at constant pressure to that at constant volume to be 5/3.)
A. 37.5 K
B. 75 K
C. 2400 K
D. 1200 K
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.
Consider a particle performing a circular motion around a circle of radius r with an angular velocity ω and the particle's projection on the horizontal diameter of the circle (between points Q and R) as shown in the figure below? Which one of the following statements is correct about the motion of the particle and its projection on QR
This item uses a figure in the original paper (not redrawn here).
A. The projection of the particle on QR swings between points Q and R with constant speed.
B. The circular motion of the particle can be taken as a simple harmonic motion.
C. The projection of the particle on QR demonstrates simple harmonic motion.
D. The projection of the particle on QR demonstrates motion with constant acceleration.
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.
Air molecules vibrate in a pipe of length L closed at one end but open at the other. If the speed of sound through the pipe is V, which one of the following statements is correct about the resonance effects of vibration of air molecules in the pipe?
A. The fundamental resonance frequency is 4LV.
B. The fundamental wave length of resonance is equal to 2L.
C. The resonance frequency of the first harmonics is LV.
D. The wavelength of the third harmonic is equal to L.
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.
A monochromatic light of wave length λ passes through double slits separated by a distance d. If the path difference between the lights is a and being an integer (0, 1, 2, 3, ...). Which one of the following would be observed on screen behind the slits?
A. constructive interference if p=(n+1/2)λ.
B. constructive interference if p=nλ.
C. destructive interference if p=2nλ.
D. destructive interference if p=0
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.
Suppose you are standing on a horizontal floor, in a room, with one of your feet and leaning the wall of the room with the other foot. The number of action reaction pair of forces you experience is
A. 1.
B. 3.
C. 2.
D. 4.
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.
A car of mass 1.50 × 10³ kg collides with a wall and rebounds. The initial and final velocities of the car are v1=−15.0 m/s and v2=2.60 m/s respectively. If the collision lasts for 0.15 s, what is the magnitude of the average force exerted on the car?
A. 2.60 × 10⁴ N
B. 3.96 × 10³ N
C. 2.64 × 10⁴ N
D. 1.76 × 10⁵ N
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.
Starting from rest, a block of mass 5.0 kg slides 2.5 m down a rough 37° incline. The coefficient of kinetic friction between the block and the incline is µk=0.44. What is the work done by the friction force on the block?
A. -75.00 J
B. -18.92 J
C. -44.00 J
D. -59.00 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.
An inclined plane is 20 m long and is inclined at an angle of 15° to the horizontal. If the effort required to push a block of weight 3,000 N up the slope is 900 N, what is the efficiency of the inclined plane?
A. 100 %
B. 86.7 %
C. 25.9 %
D. 30.0 %
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.
A wooden block of volume 5.00 × 10⁻⁴ m³ floats partially submerged in water, and a small steel object of mass m is placed on top of the block. When m = 0.25 kg, the system is in equilibrium and the top of the wooden block is at the level of the water. What is the density of the wood?
A. 1000 kg.m⁻³
B. 1500 kg.m⁻³
C. 500 kg.m⁻³
D. 800 kg.m⁻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.
A bimetallic strip made up of iron and brass bonded together is used in a thermostat. The coefficient of linear expansions for iron and brass are 1.1 × 10⁻⁵/K and 1.9 × 10⁻⁵/K, respectively. Which of one the following phenomena occurs when the temperature changes?
A. When the temperature decreases, the brass section of the bimetallic strip contracts slowly than the iron and the strip bends towards the brass section.
B. When the temperature increases, the iron section of the bimetallic strip expands faster than the brass and the strip bends towards the brass section.
C. When the temperature increases, the brass section of the bimetallic strip expands faster than the iron and the strip bends towards the iron section.
D. When the temperature decreases, the iron section of the bimetallic strip contracts faster than the brass and the strip bends towards the iron section.
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.
Which one of the following statements describes the photoelectric effect interaction of radiation with matter?
A. When radiation of certain frequency f, interact with atoms of a material, electrons will be emitted with energies proportional to the radiation energy.
B. Any value of photons (radiations) is capable of producing photoelectrons from a metal.
C. In photoelectric effect, the photoelectron energy is directly proportional to the wavelength of incident radiation.
D. The intensity of radiation incident on a material can affect the energy of photoelectrons emitted from the metal surface.
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.
A positive point charge of 2 μC is placed on the x-axis at the origin and a positive charge of 6 μC and a negative point charge of -4 μC are placed, respectively at x=-3cm and x=+3cm on the x-axis. What is the net electric force on the 2 μC charge?
A. 200 N toward the negative x-axis
B. 200 N toward the positive x-axis
C. 40 N toward the positive x-axis
D. 40 N toward the negative x-axis
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.
Consider a point charge Q in an electrostatic field and a point mass m in a gravitational field. Which one of the following statements is correct about the potential energy of the objects?
A. The electric potential decreases as a positive charge moves opposite to the electric field while the gravitational potential of the mass increases when it moves along the gravitational field.
B. The potential energy of the point charge and that of the point mass changes as they move over equipotential surfaces in their respective fields.
C. The potential energies at distance r, from the field sources for both Q and m vary inversely with r².
D. The gravitational force on mass m is in the same direction of the gravitational field while the electric force on Q in the same or opposite directions depending the sign of the charge.
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.
An electron moving with a speed of 2.2×10⁷m/s east enters the region of a magnetic field strength of 5×10⁻⁴ T directed north. What is the magnetic force experienced by the electron?
A. 1.76×10⁻¹⁵ N, perpendicular to north and east directions
B. 8×10⁻¹⁵ N, perpendicular to north and east directions
C. 3.64×10⁻³⁰ N, towards east direction
D. 1.76×10⁻¹⁵ N towards north direction
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.
A magnetic field intensity of 4x10⁻⁴ T crosses a coil having face area 100 cm² and 5x10⁴ turns perpendicular to the face of the coil. If the magnetic flux in the coil set to zero within 2 ms. What is the magnitude of the induced emf in the coil?
A. 4x10⁻³ V
B. 100 V
C. 10 V
D. 2x10⁻⁵ V
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.
In a simple a.c circuit, an inductor of 4μH and a capacitor of 9 pf are connected in series to each other and the combination is connected to an a.c source. What is the angular frequency at resonance of the circuit?
A. 3.8x10⁸ rad/s
B. 2.7x10⁵ rad/s
C. 3.6x10⁷ rad/s
D. 1.67x10⁸ rad/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.
Electrons in a Sodium atom emit radiation when they move from a higher energy level of -0.81eV to a lower energy level of -2.21eV. What is the frequency of radiation emitted in the process?
A. 3.38x10¹⁴ Hz
B. 1.40x10¹⁵ Hz
C. 8.10x10¹⁵ Hz
D. 2.21x10¹⁴ Hz
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.
Given two vectors v₁ = 10 units along the positive y-axis and v₂ = 6 units at an angle of 37° above the positive x-axis. What is the scalar product of the vectors in square of units?
A. 45
B. 36
C. 48
D. 60
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.
An airplane takes-off at airport A and travels 500 km due east within one hour and then turning to south it flies for 20 minutes to land on airport B which is 100 km away from the turning point. The magnitude average velocity of the plane during its flight between the two airports is
A.24 km/h
B. 10034 km/h
C. 450 km/h
D.7526 km/h
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.
A bullet is fired with an initial speed v at an angle θ with the horizontal. It takes a time T to reach its maximum vertical displacement hmax. It hits the target point a distance R away and exactly in the horizontal level to the point where it was fired. Which one of the following statement is NOT correct about the motion of the bullet?
A. The bullet hits the target at a time 2T after it was fired.
B. hmax is directly proportional to the initial speed v.
C. R will be maximum if cos θ = 2/2.
D. θ should be different from 90° to hit the target at a distance R.
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.
A man pushes a 25.0 kg object by 250 N force along an inclined plane inclined at an angle of 37° to the horizontal. If the object moves with constant speed, the friction force exerts on the block is
A. 250.0 N, up the inclined plane.
B. 100.0 N, up the inclined plane.
C. 100.0 N, down the inclined plane.
D. 250.0 N, down the inclined plane.
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.
No. Abrari publishes unofficial practice reconstructed from the study bank for this 2015 E.C. Physics paper. It is not an official EAES or Ministry paper and does not use government logos.
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No. Letters and worked solutions are unofficial Abrari keys. Verified write-ups are labelled Unofficial. Do not treat them as an official marking scheme.
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