Practice Post UTME OAU physics 2017 Past Questions

Question 1

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 2

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 3

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capacitor is charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?

A. 0.1 F

Correct B. 0.2 F

C. 0.3 F

D. 0.4 F

Correct Answer: B

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Question 4

A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated by the resistor?

A. 20 W

Correct B. 40 W

C. 60 W

D. 80 W

Correct Answer: B

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Question 5

A magnetic field of 0.1 T is applied to a coil of 100 turns. The coil has a resis\tance of 10 Ω and an induc\tance of 0.1 H. What is the time cons\tant of the coil?

A. 0.01 s

Correct B. 0.1 s

C. 1 s

D. 10 s

Correct Answer: B

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Question 6

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 acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?

A. 4 N

Correct B. 8 N

C. 12 N

D. 16 N

Correct Answer: B

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Question 7

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?

A. 2 A

Correct B. 3 A

C. 4 A

D. 6 A

Correct Answer: B

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Question 8

A ray of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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Question 9

A body is moving in a straight line with a uniform acceleration of 2 m/s^2. If the initial velocity is 4 m/s, what is the velocity after 5 seconds?

A. 10 m/s

B. 12 m/s

Correct C. 14 m/s

D. 16 m/s

Correct Answer: C

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Question 10

A 5 Ω resistor is connected in parallel with a 10 Ω resistor. If a 12 V battery is connected across the combination, what is the current flowing through the 5 Ω resistor?

A. 1.2 A

Correct B. 2.4 A

C. 3.6 A

D. 4.8 A

Correct Answer: B

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Question 11

A gas at $25^circ$C and $1.0 \times 10^5$ Pa expands to twice its original volume. What is the new pressure?

A. $5.0 \times 10^4$ Pa

B. $1.0 \times 10^5$ Pa

Correct C. $2.0 \times 10^5$ Pa

D. $4.0 \times 10^5$ Pa

Correct Answer: C

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Question 12

A particle of mass $m$ moves in a circular path of radius $r$ with a cons\tant speed $v$. The force acting on the particle is

Correct A. $F = \frac{mv^2}{r}$

B. $F = \frac{mv}{r}$

C. $F = \frac{mv^2}{2r}$

D. $F = \frac{mv^2}{4r}$

Correct Answer: A

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Question 13

A sound wave with frequency $f$ and amplitude $A$ is described by the equation $y = A \sin (2pi ft)$. The period of the wave is

Correct A. $T = \frac{1}{f}$

B. $T = 2pi f$

C. $T = \frac{1}{2pi f}$

D. $T = \frac{2pi f}{2}$

Correct Answer: A

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Question 14

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The maximum height reached by the projectile is

Correct A. $H = \frac{v_0^2 \sin^2 \theta}{2g}$

B. $H = \frac{v_0^2 \sin \theta}{2g}$

C. $H = \frac{v_0^2 \cos \theta}{2g}$

D. $H = \frac{v_0^2 \cos^2 \theta}{2g}$

Correct Answer: A

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Question 15

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is

Correct A. $Z = \sqrt{R^2 + $ X_L - X_C $^2}$

B. $Z = \sqrt{R^2 + $ X_L + X_C $^2}$

C. $Z = \sqrt{R^2 + $ X_L - X_C $^2 + X_C^2}$

D. $Z = \sqrt{R^2 + $ X_L + X_C $^2 + X_L^2}$

Correct Answer: A

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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 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 18

A gas at 300 K and 1 atm is compressed to 2 atm. What is the new volume of the gas?

A. 0.5 L

Correct B. 1 L

C. 2 L

D. 4 L

Correct Answer: B

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Question 19

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 20

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance of the circuit?

Correct A. 5 Ω

B. 10 Ω

C. 15 Ω

D. 20 Ω

Correct Answer: A

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Question 21

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 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. 5 rad/s

B. 10 rad/s

Correct C. 20 rad/s

D. 50 rad/s

Correct Answer: C

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Question 22

A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, determine the charge stored on the plates when a potential difference of 5 V is applied across them.

A. 50 nC

B. 100 nC

Correct C. 500 nC

D. 1000 nC

Correct Answer: C

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Question 23

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. 2 A

D. 4 A

Correct Answer: C

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Question 24

A wave function is given by ψ(x) = Ae^$ -αx^2 $. If the wave function is normalized, determine the value of α.

A. 0.01

B. 0.1

Correct C. 1

D. 10

Correct Answer: C

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Question 25

A particle of mass 1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. If the particle is subject to a centripetal force of 10 N, determine the angular velocity of the particle.

A. 4 rad/s

B. 8 rad/s

Correct C. 16 rad/s

D. 32 rad/s

Correct Answer: C

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