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POST UTME LEAD CITY UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME LEAD CITY UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is its angular momentum?

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

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

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

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

Correct Answer: C

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Question 2

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wavelength of the wave is $\lambda$, what is its period?

A. \frac{\lambda}{f}

B. \frac{v}{f}

Correct C. \frac{\lambda}{v}

D. \frac{f}{v}

Correct Answer: C

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Question 3

A capacitor consists of two parallel plates separated by a dis\tance $d$. If the capaci\tance is $C$ and the charge on the plates is $Q$, what is the electric field between the plates?

Correct A. \frac{Q}{\epsilon_0 A}

B. \frac{Q}{d}

C. \frac{C}{\epsilon_0}

D. \frac{Q}{A}

Correct Answer: A

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Question 4

A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. If the energy levels are given by $E_n = \frac{n^2 \pi^2 \hbar^2}{2mL^2}$, what is the ground-state energy?

Correct A. \frac{\pi^2 \hbar^2}{2mL^2}

B. \frac{2\pi^2 \hbar^2}{2mL^2}

C. \frac{3\pi^2 \hbar^2}{2mL^2}

D. \frac{4\pi^2 \hbar^2}{2mL^2}

Correct Answer: A

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Question 5

A simple harmonic motion has an amplitude $A$ and a frequency $f$. If the angular frequency is $\omega$, what is the period?

Correct A. \frac{2\pi}{\omega}

B. \frac{\omega}{2\pi}

C. \frac{A}{f}

D. \frac{f}{A}

Correct Answer: A

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Question 6

A charged particle of mass 2.0 × 10^-8 kg and charge 3.2 × 10^-6 C is moving in a circular path of radius 0.5 m in a uniform magnetic field of strength 0.8 T. If the particle's speed is 25 m/s, what is the magnitude of the magnetic force acting on it?

A. 0.064 N

Correct B. 0.128 N

C. 0.256 N

D. 0.512 N

Correct Answer: B

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Question 7

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 10.0 m

B. 15.0 m

Correct C. 20.0 m

D. 25.0 m

Correct Answer: C

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Question 8

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, what is the new capaci\tance?

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

Correct Answer: C

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Question 9

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 30 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 10

A particle of mass 1.0 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, what is the maximum kinetic energy of the particle?

A. 0.2 J

B. 0.4 J

Correct C. 0.6 J

D. 0.8 J

Correct Answer: C

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Question 11

A charged particle of mass $m$ and charge $q$ is moving in a circular path of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

B. \frac{qr}{mv}

C. \frac{m^2v^2}{q^2r}

D. \frac{q^2r^2}{m^2v^2}

Correct Answer: A

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Question 12

A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is increased by a factor of $n$, what is the new capaci\tance?

Correct A. \frac{C}{n}

B. nC

C. \frac{nC}{V}

D. \frac{CV}{n}

Correct Answer: A

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Question 13

A coil of wire has a resis\tance of $R$ and is connected to a battery of emf $\epsilon$. If the current in the coil is $I$, what is the power dissipated in the coil?

Correct A. RI

B. \frac{RI}{\epsilon}

C. \frac{\epsilon^2}{R}

D. \frac{I^2R}{\epsilon}

Correct Answer: A

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Question 14

A radioactive sample has a half-life of $t_{1/2}$. If the initial activity is $A_0$, what is the activity after a time $t$?

Correct A. A_0e^{-\frac{t}{t_{1/2}}}

B. A_0e^{\frac{t}{t_{1/2}}}

C. A_0e^{-t}

D. A_0e^{t}

Correct Answer: A

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Question 15

A photon of energy $E$ is incident on a metal surface. If the work function of the metal is $\phi$, what is the maximum kinetic energy of the emitted electron?

Correct A. E-\phi

B. E+\phi

C. \frac{E}{\phi}

D. \frac{\phi}{E}

Correct Answer: A

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Question 16

A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.1 m placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.5 A m^2

B. 1 A m^2

Correct C. 2 A m^2

D. 5 A m^2

Correct Answer: C

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Question 17

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. A 12 V battery is connected across the circuit. What is the current flowing through the 5 Ω resistor?

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1 A

Correct Answer: C

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Question 18

A gas expands from an initial volume of 2 L to a final volume of 5 L at a cons\tant temperature of 300 K. What is the work done by the gas?

A. 150 J

B. 300 J

Correct C. 450 J

D. 600 J

Correct Answer: C

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Question 19

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?

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 20

A particle of mass 2 kg is moving in a circular path of radius 3 m with 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

A solid cylindrical block of wood with a radius of 5 cm and a height of 10 cm is floating in a liquid of density 0.8 g/cm³. If the block is partially submerged in the liquid, what is the weight of the liquid displaced by the block?

A. 100 g

Correct B. 200 g

C. 300 g

D. 400 g

Correct Answer: B

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Question 22

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed of the block?

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 23

A 5 kg object is moving in a circular path with a radius of 2 m. If the object has a speed of 4 m/s, what is the magnitude of the net force acting on the object?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 24

A 10 kg block is moving with a speed of 2 m/s on a horizontal, frictionless surface. If the block is subjected to a cons\tant horizontal force of 5 N, what is the acceleration of the block?

A. 0.5 m/s²

Correct B. 1.0 m/s²

C. 1.5 m/s²

D. 2.0 m/s²

Correct Answer: B

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Question 25

A 20 kg object is at rest on a horizontal, frictionless surface. If a horizontal force of 10 N is applied to the object, what is the work done by the force?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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