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POST UTME KSU 2019 Physics | Objective

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Question 1 View Details

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 angular velocity of the particle?

Correct A. \( \frac{4}{3} \) rad/s

B. \( \frac{3}{4} \) rad/s

C. \( \frac{12}{2} \) rad/s

D. \( \frac{2}{3} \) rad/s

Correct Answer: A

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Question 2 View Details

A light ray passes through a prism of angle \( \theta \) and is re\fracted at an angle ( phi ). If the angle of incidence is \( 30^circ \) and the angle of emergence is \( 60^circ \), what is the angle of deviation?

A. \( 30^circ \)

Correct B. \( 60^circ \)

C. \( 90^circ \)

D. \( 120^circ \)

Correct Answer: B

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Question 3 View Details

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L and the final volume is 4 L, what is the change in internal energy?

A. ( 1000 ) J

Correct B. ( 2000 ) J

C. ( 3000 ) J

D. ( 4000 ) J

Correct Answer: B

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Question 4 View Details

A capacitor consists of two parallel plates of area 0.1 m^2 and separation 0.01 m. If the capaci\tance is 10 nF, what is the charge stored when the potential difference is 5 V?

Correct A. ( 0.05 ) C

B. ( 0.1 ) C

C. ( 0.15 ) C

D. ( 0.2 ) C

Correct Answer: A

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Question 5 View Details

A light source is placed at a dis\tance of 2 m from a convex lens of focal length 0.5 m. If the image is formed at a dis\tance of 3 m from the lens, what is the magnification?

A. ( 2 )

Correct B. ( 3 )

C. ( 4 )

D. ( 5 )

Correct Answer: B

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Question 6 View Details

A gas at 300 K is heated to 600 K. If the initial volume is 2.5 L, what is the final volume, assuming the gas obeys Charles' Law?

A. 5 L

Correct B. 10 L

C. 15 L

D. 20 L

Correct Answer: B

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Question 7 View Details

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 net force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 8 View Details

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 9 View Details

A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 236

B. 238

C. 240

D. 242

Correct Answer: A

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Question 10 View Details

A particle of charge 2 μC is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. What is the magnitude of the magnetic field at the center of the circle?

A. 10^-4 T

B. 10^-3 T

Correct C. 10^-2 T

D. 10^-1 T

Correct Answer: C

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Question 11 View Details

A solid sphere of radius R is made of a material with a Young's modulus of Y. If a force F is applied \tangentially to the sphere's surface, the resulting strain is given by \( epsilon = \frac{F}{4 pi R^2 Y} \). What is the percentage increase in the sphere's volume due to this strain?

A. 0.25%

B. 0.5%

Correct C. 1%

D. 2%

Correct Answer: C

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Question 12 View Details

A magnetic field of strength B is directed along the z-axis. A current-carrying wire of length L is placed in the x-y plane, perp\endicular to the magnetic field. If the wire carries a current I, what is the magnitude of the force exerted on the wire due to the magnetic field?

Correct A. BIL

B. BIL / 2

C. BIL / 4

D. BIL / 8

Correct Answer: A

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Question 13 View Details

A light ray passes from air into a glass slab of thickness t and re\fractive index n. If the angle of incidence is θ, what is the angle of re\fraction?

Correct A. \sin^{-1} \frac{n}{n_{air}} \sin \theta'

B. \sin^{-1} \frac{n_{air}}{n} \sin \theta'

C. \sin^{-1} \frac{n}{n_{air}} \cos \theta'

D. \sin^{-1} \frac{n_{air}}{n} \cos \theta'

Correct Answer: A

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Question 14 View Details

A particle of mass m is confined to a one-dimensional potential well of width L. If the energy of the particle is E, what is the probability of finding the particle in the region x > L/2?

Correct A. \frac{1}{2}

B. \frac{1}{4}

C. \frac{1}{8}

D. \frac{1}{16}

Correct Answer: A

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Question 15 View Details

A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. If the circuit is driven by an AC voltage source of frequency f, what is the impedance of the circuit?

Correct A. \sqrt{R^2 + \( X_L - X_C \)^2}

B. \sqrt{R^2 + \( X_L + X_C \)^2}

C. \sqrt{R^2 - \( X_L - X_C \)^2}

D. \sqrt{R^2 - \( X_L + X_C \)^2}

Correct Answer: A

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Question 16 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates when the potential difference is 100 V?

Correct A. 0.25 C

B. 0.5 C

C. 1 C

D. 2 C

Correct Answer: A

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Question 17 View Details

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

A. 400 K

Correct B. 500 K

C. 600 K

D. 700 K

Correct Answer: B

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Question 18 View Details

A block of mass 10 kg is attached to a spring with spring cons\tant 100 N/m. If the block is displaced by 0.1 m and released, what is the maximum speed of the block?

A. 0.1 m/s

B. 0.5 m/s

Correct C. 1 m/s

D. 2 m/s

Correct Answer: C

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Question 19 View Details

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

Correct A. 1 A

B. 2 A

C. 3 A

D. 4 A

Correct Answer: A

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Question 20 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 4 m/s, what is the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 21 View Details

A 10 mH inductor is connected in series with a 20 Ω resistor and a 100 V DC source. If the initial current is 0 A, find the current at t = 5 s.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 22 View Details

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. Find the magnitude of the force acting on the particle.

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 23 View Details

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. Find the focal length of the combination.

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 24 View Details

A 50 Hz AC voltage is applied across a 20 Ω resistor. Find the rms value of the current.

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 25 View Details

A 10 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. Find the time period of oscillation.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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