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POST UTME SUMMIT UNIVERSITY 2024 Physics | Objective

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Question 1 View Details

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

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Question 2 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the switch is closed at time $t=0$, what is the current in the circuit at $t=1$ s?

A. 5 A

Correct B. 10 A

C. 15 A

D. 20 A

Correct Answer: B

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Question 3 View Details

A wave of frequency 100 Hz and amplitude 0.5 m is traveling along a string. If the string is plucked at the ins\tant the wave is pas\sing through the point $x=0$, what is the displacement of the string at $x=1$ m?

Correct A. 0.25 m

B. 0.5 m

C. 0.75 m

D. 1 m

Correct Answer: A

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Question 4 View Details

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity of the sample after 20 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 5 View Details

A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the force?

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

B. \frac{2mv^2}{R}

C. \frac{3mv^2}{R}

D. \frac{4mv^2}{R}

Correct Answer: A

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Question 6 View Details

A ray 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?

Correct A. 40°

B. 50°

C. 60°

D. 70°

Correct Answer: A

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Question 7 View Details

A body of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, what is the centripetal force acting on the body?

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 parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, what is the charge stored on the capacitor?

A. 200 μC

Correct B. 400 μC

C. 600 μC

D. 800 μC

Correct Answer: B

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Question 9 View Details

A photon has an energy of 2.5 eV. If the wavelength of the photon is 500 nm, what is the momentum of the photon?

A. 10^-25 kg m/s

B. 10^-24 kg m/s

Correct C. 10^-23 kg m/s

D. 10^-22 kg m/s

Correct Answer: C

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Question 10 View Details

A car is traveling at a speed of 60 km/h. If the driver applies the brakes and the car comes to a stop in 10 s, what is the acceleration of the car?

A. -6 m/s^2

B. -8 m/s^2

C. -10 m/s^2

Correct D. -12 m/s^2

Correct Answer: D

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Question 11 View Details

A uniform solid sphere of radius R and mass M is placed at the origin. A point charge q is placed at a dis\tance r from the center of the sphere. What is the electric potential at the surface of the sphere?

A. kq/R

B. kq/(2R)

Correct C. kq/$ R - r $

D. kq/$ R + r $

Correct Answer: C

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Question 12 View Details

A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F(r) = -k/r^2. What is the angular momentum of the particle?

A. mk/r

B. mk^2/r

Correct C. \sqrt{mk^2/r}

D. mk^2/r^2

Correct Answer: C

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Question 13 View Details

A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. The circuit is driven by a voltage source V(t) = V_0 \sin$ \omega t $. What is the impedance of the circuit?

A. R

B. \sqrt{R^2 + \omega^2 L^2}

Correct C. \sqrt{R^2 + $ \omega L - 1/\omega C $^2}

D. \sqrt{R^2 + 1/\omega^2 C^2}

Correct Answer: C

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Question 14 View Details

A wave function \psi(x) = Ae^{ikx} is a solution to the time-indep\endent Schrödinger equation for a particle of mass m in a one-dimensional potential V(x). What is the energy of the particle?

Correct A. \hbar^2 k^2/2m

B. \hbar^2 k^2/m

C. \hbar k^2/2m

D. \hbar k^2/m

Correct Answer: A

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Question 15 View Details

A projectile is launched from the origin with an initial velocity v_0 at an angle \theta above the horizontal. What is the time of flight of the projectile?

A. v_0 \sin \theta / g

Correct B. 2v_0 \sin \theta / g

C. v_0 \cos \theta / g

D. 2v_0 \cos \theta / g

Correct Answer: B

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Question 16 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 magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 17 View Details

A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the magnification of the image?

Correct A. -2/3

B. -1/2

C. -1/3

D. 1/2

Correct Answer: A

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Question 18 View Details

A body of mass 5 kg is moving in a straight line with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?

Correct A. 4 m/s^2

B. 8 m/s^2

C. 12 m/s^2

D. 16 m/s^2

Correct Answer: A

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Question 19 View Details

A ray of light 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. 10°

B. 20°

C. 30°

D. 40°

Correct Answer: A

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Question 20 View Details

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 21 View Details

A lens of focal length 15 cm is used to form an image of an object placed 25 cm from the lens. What is the magnification of the image?

Correct A. -3/5

B. -2/3

C. -1/2

D. 1/2

Correct Answer: A

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Question 22 View Details

A body of mass 4 kg is moving in a straight line with a velocity of 8 m/s. If it is subjected to a force of 24 N, what is the acceleration of the body?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 23 View Details

A ray of light passes from air into a glass of re\fractive index 1.8. If the angle of incidence is 40°, what is the angle of re\fraction?

A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: VIEW ANSWER

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Question 24 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?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 25 View Details

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 5 s?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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