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POST UTME AAUA 2018 Physics | Objective

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Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates?

A. 2.0 x 10^-6 C

B. 4.0 x 10^-6 C

Correct C. 8.0 x 10^-6 C

D. 1.6 x 10^-5 C

Correct Answer: C

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Question 2

A particle of mass 0.5 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 3

A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 4

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

A. 1.5 A

B. 2.0 A

Correct C. 2.5 A

D. 3.0 A

Correct Answer: C

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Question 5

A simple harmonic motion has a maximum displacement of 2.0 m and a period of 4.0 s. What is the angular frequency?

A. 0.5 rad/s

Correct B. 1.0 rad/s

C. 1.5 rad/s

D. 2.0 rad/s

Correct Answer: B

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Question 6

A gas at cons\tant volume is heated from 300 K to 400 K. If the initial pressure is 1.2 atm, what is the final pressure?

A. 1.5 atm

B. 1.8 atm

Correct C. 2.0 atm

D. 2.4 atm

Correct Answer: C

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Question 7

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. What is the magnitude of the centripetal acceleration?

A. 1.33 m/s^2

B. 2.67 m/s^2

Correct C. 4.00 m/s^2

D. 6.67 m/s^2

Correct Answer: C

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Question 8

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.002 m. If the capaci\tance is 8 nF, what is the charge on the positive plate when the potential difference between the plates is 12 V?

A. 96 μC

Correct B. 192 μC

C. 288 μC

D. 384 μC

Correct Answer: B

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Question 9

A resistor of 4 Ω is connected in series with a 6 Ω resistor and a 12 V battery. What is the current in the circuit?

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 10

A block of mass 5 kg is placed on a horizontal surface with a coefficient of static friction of 0.5. If a force of 20 N is applied to the block, what is the acceleration of the block?

A. 0.5 m/s^2

B. 1.0 m/s^2

Correct C. 1.5 m/s^2

D. 2.0 m/s^2

Correct Answer: C

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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, what is the maximum speed of the particle?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 13

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 14

A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?

A. 25 J

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

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Question 15

A wave has a frequency of 200 Hz and a wavelength of 0.01 m. What is its speed?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 16

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

A. 12 g

B. 24 g

Correct C. 48 g

D. 96 g

Correct Answer: C

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric material with a dielectric cons\tant of 2 is inserted between the plates, what is the new capaci\tance?

A. 20 μF

Correct B. 40 μF

C. 80 μF

D. 100 μF

Correct Answer: B

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, 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 19

A convex lens has a focal length of 20 cm and is used to form an image of an object placed 30 cm in front of it. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?

A. 15 cm

Correct B. 20 cm

C. 25 cm

D. 30 cm

Correct Answer: B

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Question 20

A gas is heated from 20°C to 80°C at cons\tant pressure. If the initial volume is 100 mL, what is the final volume?

A. 150 mL

B. 200 mL

Correct C. 250 mL

D. 300 mL

Correct Answer: C

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Question 21

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the expectation value of the position operator for this state?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{\pi}

Correct Answer: A

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Question 22

A block of mass $M$ is placed on a frictionless surface and connected to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{M}}

B. \frac{k}{M}

C. \frac{M}{k}

D. \frac{\pi}{\sqrt{kM}}

Correct Answer: A

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Question 23

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an AC voltage source with amplitude $V_0$ and frequency $f$. What is the impedance of the circuit at resonance?

Correct A. R

B. \sqrt{L^2 + C^2}

C. \frac{R}{\sqrt{L^2 + C^2}}

D. \frac{R}{C}

Correct Answer: A

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Question 24

A \tank of water is filled to a height $h$ and has a base area $A$. A small hole of area $a$ is drilled at the bottom of the \tank. What is the rate of change of the volume of water in the \tank with respect to time?

Correct A. -a \sqrt{2gh}

B. a \sqrt{2gh}

C. -\frac{a}{\sqrt{2gh}}

D. \frac{a}{\sqrt{2gh}}

Correct Answer: A

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Question 25

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal force acting on the particle?

Correct A. \frac{mv^2}{r}

B. \frac{mr^2}{v^2}

C. \frac{v^2}{mr}

D. \frac{r^2}{mv^2}

Correct Answer: A

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