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POST UTME AFE BABALOLA UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME AFE BABALOLA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A parallel plate capacitor consists of two plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The space between the plates is filled with a dielectric material of relative permittivity 4. The capacitor is connected to a battery of emf 12 V. Calculate the capaci\tance of the capacitor.

Correct A. 0.01 F

B. 0.02 F

C. 0.04 F

D. 0.08 F

Correct Answer: A

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Question 2

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the force acting on the particle.

A. 8 N

Correct B. 16 N

C. 24 N

D. 32 N

Correct Answer: B

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Question 3

A light ray passes from air into a glass slab of thickness 0.05 m and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 4

A radioactive sample decays at a rate of 0.02% per hour. If the initial activity is 1000 Bq, calculate the activity after 5 hours.

Correct A. 900 Bq

B. 950 Bq

C. 980 Bq

D. 990 Bq

Correct Answer: A

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Question 5

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 6

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$, where $k$ is a positive cons\tant. If the particle's speed is $v$, what is its total energy $E$?

A. \frac{1}{2}mv^2 + \frac{k}{r}

Correct B. \frac{1}{2}mv^2 - \frac{k}{r}

C. -\frac{1}{2}mv^2 + \frac{k}{r}

D. -\frac{1}{2}mv^2 - \frac{k}{r}

Correct Answer: B

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Question 7

A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the angular frequency $\omega$ of the block's motion?

A. \omega = \sqrt{\frac{m}{k}}

Correct B. \omega = \sqrt{\frac{k}{m}}

C. \omega = \frac{k}{m}

D. \omega = \frac{m}{k}

Correct Answer: B

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Question 8

A projectile is launched from the origin $(0,0)$ with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. Assuming the only force acting on the projectile is gravity, what is the equation of the projectile's trajectory?

A. y = x\tan\theta + \frac{g}{2v_0^2\cos^2\theta}x^2

Correct B. y = x\tan\theta - \frac{g}{2v_0^2\cos^2\theta}x^2

C. y = x\tan\theta + \frac{g}{2v_0^2\cos^2\theta}x

D. y = x\tan\theta - \frac{g}{2v_0^2\cos^2\theta}

Correct Answer: B

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Question 9

A system consists of two particles of mass $m_1$ and $m_2$ connected by a massless string of length $L$. The particles are moving in a circular orbit around their common center of mass. If the speed of $m_1$ is $v_1$ and the speed of $m_2$ is $v_2$, what is the total energy of the system?

A. E = \frac{1}{2}m_1v_1^2 - \frac{1}{2}m_2v_2^2

Correct B. E = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2

C. E = \frac{1}{2}m_1v_1^2 - \frac{1}{2}m_2v_2^2 - \frac{k}{L}

D. E = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2 + \frac{k}{L}

Correct Answer: B

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Question 10

A particle of mass $m$ is in a one-dimensional box of length $L$. If the particle's wave function is given by $\psi(x) = A\sin\left$ \frac{n\pi x}{L}\right $$, what is the particle's energy $E_n$?

A. E_n = \frac{n\pi\hbar^2}{mL^2}

Correct B. E_n = \frac{n^2\pi^2\hbar^2}{2mL^2}

C. E_n = \frac{n\pi^2\hbar^2}{mL^2}

D. E_n = \frac{n^2\pi\hbar^2}{mL^2}

Correct Answer: B

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Question 11

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 12

A sound wave with frequency 200 Hz and amplitude 0.05 m is traveling through a medium with speed 340 m/s. Determine the intensity of the sound wave.

A. 10^-3 W/m^2

Correct B. 10^-2 W/m^2

C. 10^-1 W/m^2

D. 1 W/m^2

Correct Answer: B

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Question 13

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. Determine the time of flight of the projectile.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 14

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 15

A gas is contained in a cylinder with a volume of 2 m^3 at a temperature of 300 K. If the temperature is increased to 400 K, determine the new volume of the gas.

A. 2.5 m^3

Correct B. 3 m^3

C. 3.5 m^3

D. 4 m^3

Correct Answer: B

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 17

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts moving from rest, what is the magnitude of the acceleration of the block?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 18

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the magnitude of the force exerted by the spring?

A. 100 N

Correct B. 200 N

C. 300 N

D. 400 N

Correct Answer: B

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Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 20

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.0 A

Correct Answer: C

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Question 21

A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

Correct A. 0.10 A\cdot m^2

B. 0.20 A\cdot m^2

C. 0.30 A\cdot m^2

D. 0.40 A\cdot m^2

Correct Answer: A

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Question 22

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a speed of 4.0 m/s. What is the magnitude of the force acting on the particle?

A. 10.0 N

B. 20.0 N

Correct C. 30.0 N

D. 40.0 N

Correct Answer: C

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Question 23

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. The engine produces 100 J of work per cycle. What is the efficiency of the engine?

A. 0.20

B. 0.30

Correct C. 0.40

D. 0.50

Correct Answer: C

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Question 24

A nucleus of mass number 240 has a binding energy of 160 MeV. What is the binding energy per nucleon?

A. 0.67 MeV/nucleon

B. 0.70 MeV/nucleon

Correct C. 0.73 MeV/nucleon

D. 0.76 MeV/nucleon

Correct Answer: C

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Question 25

A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. What is the energy stored in the capacitor?

A. 0.72 J

B. 1.08 J

Correct C. 1.44 J

D. 1.80 J

Correct Answer: C

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