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POST UTME BSU 2024 Physics | Objective

Are you preparing for POST UTME BSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

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

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

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

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

Correct Answer: B

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Question 2

A block of mass $m$ is attached to a horizontal, massless spring with a 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 maximum speed $v_{max}$ of the block?

Correct A. \sqrt{\frac{kx^2}{m}}

B. \sqrt{\frac{mx^2}{k}}

C. \sqrt{\frac{k}{m}}

D. \sqrt{\frac{m}{k}}

Correct Answer: A

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Question 3

A car travels from point A to point B with an average speed of $v_{avg}$. If the car takes a detour and travels from point A to point C to point B, the total dis\tance traveled is $d_{total}$. Assuming the car travels at a cons\tant speed of $v$ on the detour, what is the ratio of the average speed $v_{avg}$ to the speed $v$ on the detour?

A. \frac{v}{v_{avg}}

Correct B. \frac{v_{avg}}{v}

C. \frac{d_{total}}{v}

D. \frac{v}{d_{total}}

Correct Answer: B

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Question 4

A radioactive sample decays at a rate given by the equation $N(t) = N_0 e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. If the sample decays to $\frac{1}{4}$ of its initial value in $10$ years, what is the decay cons\tant $\lambda$?

A. \frac{1}{10}

B. \frac{1}{20}

C. \frac{1}{30}

Correct D. \frac{1}{40}

Correct Answer: D

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Question 5

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with a speed $v$. If the wave is reflected off a fixed \end and undergoes a phase shift of $\pi$, what is the new wavelength $\lambda_{new}$?

A. \lambda

Correct B. \frac{\lambda}{2}

C. 2\lambda

D. \frac{\lambda}{4}

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 uniform magnetic field of 2 T directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 7

A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. If the motion is damped, the equation of motion is given by \frac{d^2x}{dt^2} + 2\frac{dx}{dt} + 5x = 0. What is the value of the damping coefficient?

A. 1 s^{-1}

Correct B. 2 s^{-1}

C. 3 s^{-1}

D. 4 s^{-1}

Correct Answer: B

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Question 8

A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. What is the expectation value of the position operator?

A. 0

Correct B. \frac{1}{\alpha}

C. \frac{1}{2\alpha}

D. \frac{1}{4\alpha}

Correct Answer: B

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Question 9

A hydrostatic pressure of 100 kPa is applied to a fluid of density 1000 kg/m^3. What is the pressure at a depth of 10 m?

A. 100 kPa

Correct B. 200 kPa

C. 300 kPa

D. 400 kPa

Correct Answer: B

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Question 10

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the potential energy stored in the spring?

A. 200 J

Correct B. 400 J

C. 600 J

D. 800 J

Correct Answer: B

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Question 11

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/s², what is the magnitude of the force acting on the particle?

A. 6 N

Correct B. 8 N

C. 10 N

D. 12 N

Correct Answer: B

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Question 12

A magnetic field of strength 0.5 T is directed along the z-axis. A current of 2 A flows through a straight wire of length 1 m placed in the x-y plane. What is the magnitude of the magnetic force acting on the wire?

A. 0.1 N

B. 0.2 N

Correct C. 0.3 N

D. 0.4 N

Correct Answer: C

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Question 13

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 550 K

B. 600 K

Correct C. 650 K

D. 700 K

Correct Answer: C

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Question 14

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the initial velocity of the projectile?

A. 15 m/s

Correct B. 20 m/s

C. 25 m/s

D. 30 m/s

Correct Answer: B

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Question 15

A quantum particle has a wave function given by ( psi(x) = Ae^{-\alpha x^2} ). If the probability of finding the particle in the region $ -1 leq x leq 1 $ is 0.5, what is the value of the cons\tant $ \alpha $?

A. 0.1

B. 0.2

Correct C. 0.3

D. 0.4

Correct Answer: C

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Question 16

A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The capaci\tance is given by $C=\frac{epsilon_0A}{d}$. If the separation is doubled, what is the new capaci\tance?

A. \frac{\epsilon_0A}{2d}

Correct B. \frac{2\epsilon_0A}{d}

C. \frac{\epsilon_0A}{d}

D. \frac{\epsilon_0A}{4d}

Correct Answer: B

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Question 17

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 motion is simple harmonic, what is the angular frequency of the oscillations?

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

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 18

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

A. \frac{n\sin\theta_i}{n-\sin\theta_i}

Correct B. \frac{n\sin\theta_i}{n+\sin\theta_i}

C. \frac{n\sin\theta_i}{n-\sin\theta_i}

D. \frac{n\sin\theta_i}{n+\sin\theta_i}

Correct Answer: B

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Question 19

A car travels from point A to point B with an average speed of $v_{avg}$. If the dis\tance between the two points is $d$, what is the time taken for the journey?

Correct A. \frac{d}{v_{avg}}

B. \frac{v_{avg}}{d}

C. \frac{d}{v_{avg}}

D. \frac{v_{avg}}{d}

Correct Answer: A

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Question 20

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

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

B. \sqrt{R^2+$ \omega L+\frac{1}{\omega C} $^2}

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

D. \sqrt{R^2+$ \omega L+\frac{1}{\omega C} $^2}

Correct Answer: A

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Question 21

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.5 L and the gas cons\tant is 0.082 L atm/mol K, what is the final pressure of the gas in atm?

A. 10 atm

Correct B. 20 atm

C. 30 atm

D. 40 atm

Correct Answer: B

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Question 22

A 2.0 m long string is fixed at both \ends and plucked at its center. What is the wavelength of the fundamental mode of vibration?

Correct A. 1.0 m

B. 2.0 m

C. 3.0 m

D. 4.0 m

Correct Answer: A

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Question 23

A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 Hz AC source. What is the impedance of the circuit?

A. 100 Ω

Correct B. 120 Ω

C. 140 Ω

D. 160 Ω

Correct Answer: B

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Question 24

A 5 kg block is placed on a horizontal surface with a coefficient of kinetic friction of 0.2. If a horizontal force of 10 N is applied to the block, what is the acceleration of the block?

A. 0.5 m/s^2

Correct B. 1.0 m/s^2

C. 1.5 m/s^2

D. 2.0 m/s^2

Correct Answer: B

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Question 25

A ray of light passes from air into a glass block with a re\fractive index of 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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