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POST UTME CHRISTOPHER UNIVERSITY 2021 Physics | Objective

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Question 1 View Details

A gas at $25^{circ}C$ and $1.0 \times 10^5 Pa$ is heated to $50^{circ}C$ while maintaining cons\tant pressure. Calculate the new volume of the gas, given that the initial volume is $2.5 , \text{m}^3$.

A. 3.125 m^3

Correct B. 4.1667 m^3

C. 5.0 m^3

D. 6.25 m^3

Correct Answer: B

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Question 2 View Details

A light ray passes from air into a glass slab of re\fractive index $1.5$. If the angle of incidence is $30^{circ}$, what is the angle of re\fraction?

A. 20^{circ}

Correct B. 25^{circ}

C. 30^{circ}

D. 35^{circ}

Correct Answer: B

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Question 3 View Details

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$. If the particle's velocity is perp\endicular to the magnetic field, what is the radius of the circular path it follows?

Correct A. \frac{mv}{qB}

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

C. \frac{qB}{mv}

D. \frac{qB}{m^2v}

Correct Answer: A

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Question 4 View Details

A solid cylinder of radius $R$ and length $L$ is floating in a fluid of density $\rho_f$. If the cylinder is partially submerged in the fluid, what is the pressure at the bottom of the cylinder?

A. \rho_f g L

Correct B. \rho_f g L + \rho_s g R

C. \rho_f g L + \rho_s g R^2

D. \rho_f g L + \rho_s g R^3

Correct Answer: B

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Question 5 View Details

A radioactive sample decays at a rate given by the equation $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei, $\lambda$ is the decay cons\tant, and $t$ is time. If $N_0 = 100$ and $\lambda = 0.1 \, \text{min}^{-1}$, what is the number of nuclei remaining after $10$ minutes?

Correct A. 9.95

B. 19.9

C. 39.8

D. 99.5

Correct Answer: A

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Question 6 View Details

A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across its plates, what is the charge stored on each plate?

A. 20 μC

Correct B. 40 μC

C. 20 mC

D. 40 mC

Correct Answer: B

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Question 7 View Details

A 100 Ω resistor is connected in series with a 20 μF capacitor across a 10 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?

A. 150 Ω

B. 200 Ω

Correct C. 250 Ω

D. 300 Ω

Correct Answer: C

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Question 8 View Details

A wave has a frequency of 200 Hz and a wavelength of 2 m. What is the speed of the wave?

A. 400 m/s

Correct B. 600 m/s

C. 800 m/s

D. 1000 m/s

Correct Answer: B

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Question 9 View Details

A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. What is the time of flight?

A. 1 s

B. 2 s

Correct C. 3 s

D. 4 s

Correct Answer: C

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Question 10 View Details

A simple harmonic motion has a frequency of 5 Hz and an amplitude of 10 cm. What is the angular frequency?

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 11 View Details

A 50 Hz AC generator has an emf of 100 V. If the current is 5 A, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 50 Ω

D. 100 Ω

Correct Answer: C

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Question 12 View Details

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 13 View Details

A wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 14 View Details

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 5 A

Correct Answer: C

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Question 15 View Details

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

A. 20 Bq

Correct B. 40 Bq

C. 60 Bq

D. 80 Bq

Correct Answer: B

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Question 16 View Details

A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. What is the mass number and atomic number of the daughter nucleus?

Correct A. 234,90

B. 236,91

C. 238,92

D. 240,93

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 in Kelvin?

A. 400 K

Correct B. 450 K

C. 500 K

D. 550 K

Correct Answer: B

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Question 18 View Details

A particle of mass 2 kg moves with a velocity of 5 m/s. What is its kinetic energy in Joules?

A. 12.5 J

Correct B. 25 J

C. 50 J

D. 100 J

Correct Answer: B

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Question 19 View Details

A projectile is launched at an angle of 60° with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?

A. 10 m

B. 20 m

Correct C. 30 m

D. 40 m

Correct Answer: C

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Question 20 View Details

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is its speed?

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 21 View Details

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

A. 12 N

Correct B. 16 N

C. 20 N

D. 24 N

Correct Answer: B

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Question 22 View Details

A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the circuit.

A. 0.25 A

B. 0.5 A

Correct C. 0.75 A

D. 1 A

Correct Answer: C

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Question 23 View Details

A wave has a frequency of 50 Hz and a wavelength of 10 m. Calculate the speed of the wave.

A. 500 m/s

Correct B. 1000 m/s

C. 1500 m/s

D. 2000 m/s

Correct Answer: B

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Question 24 View Details

A particle is moving in a straight line with an initial velocity of 5 m/s. If the acceleration of the particle is 2 m/s^2, calculate the velocity of the particle after 3 seconds.

A. 7 m/s

B. 9 m/s

Correct C. 11 m/s

D. 13 m/s

Correct Answer: C

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Question 25 View Details

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, calculate the potential energy stored in the spring.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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