Practice post utme madonna university physics 2020 Past Questions

Question 1

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

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 2

A container of volume $V$ contains a mixture of ideal gases. The mixture consists of $n_1$ moles of gas 1 and $n_2$ moles of gas 2. The partial pressures of the two gases are $P_1$ and $P_2$, respectively. Use the ideal gas law to find the total pressure of the mixture.

A. $P_1 + P_2$

Correct B. $\frac{n_1 P_1 + n_2 P_2}{V}$

C. $\frac{n_1 P_1 + n_2 P_2}{V} + \frac{n_1 P_2 + n_2 P_1}{V}$

D. $\frac{n_1 P_1 + n_2 P_2}{V} + P_1 + P_2$

Correct Answer: B

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Question 3

A photon of energy $E$ is incident on a metal surface. The work function of the metal is $\phi$. Find the maximum kinetic energy of the electron emitted.

Correct A. $E - \phi$

B. $E + \phi$

C. $\frac{E}{\phi}$

D. $\frac{\phi}{E}$

Correct Answer: A

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Question 4

A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force exerted by the spring on the block at time $t$.

Correct A. $-kx_0\cos\omega t$

B. $-kx_0\sin\omega t$

C. $-kx_0\cos\omega t - kx_0\sin\omega t$

D. $-kx_0\cos\omega t + kx_0\sin\omega t$

Correct Answer: A

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Question 5

A container of volume $V$ contains a mixture of ideal gases. The mixture consists of $n_1$ moles of gas 1 and $n_2$ moles of gas 2. The partial pressures of the two gases are $P_1$ and $P_2$, respectively. Use the ideal gas law to find the total number of moles of gas in the mixture.

Correct A. $n_1 + n_2$

B. $\frac{n_1 P_1 + n_2 P_2}{V}$

C. $\frac{n_1 P_1 + n_2 P_2}{V} + \frac{n_1 P_2 + n_2 P_1}{V}$

D. $\frac{n_1 P_1 + n_2 P_2}{V} + P_1 + P_2$

Correct Answer: A

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Question 6

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the peak voltage is 20 V, calculate the root mean square (RMS) value of the current flowing through the resistor.

A. 0.2 A

B. 0.4 A

Correct C. 0.8 A

D. 1.6 A

Correct Answer: C

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Question 7

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm and a temperature of 300 K. If the pressure is increased to 3.0 atm and the temperature is decreased to 200 K, calculate the new volume of the gas.

A. 1.0 L

Correct B. 1.5 L

C. 2.0 L

D. 2.5 L

Correct Answer: B

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Question 8

A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. Calculate the electric potential at the point (0.2 m, 0.3 m) due to the two charges.

A. 100 V

B. 200 V

Correct C. 300 V

D. 400 V

Correct Answer: C

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Question 9

A coil of wire with a resis\tance of 10 Ω and an induc\tance of 0.5 H is connected to a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the coil.

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 10

A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium with a speed of 340 m/s. Calculate the amplitude of the wave.

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 11

A uniform magnetic field of strength 2 T is applied to a coil of wire with 50 turns. If the coil is rotated by 90° in 0.1 s, what is the induced emf?

A. 0.5 V

Correct B. 1.0 V

C. 1.5 V

D. 2.0 V

Correct Answer: B

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Question 12

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 1 atm. What is the work done?

A. 1.0 J

Correct B. 2.0 J

C. 3.0 J

D. 4.0 J

Correct Answer: B

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Question 13

A convex lens of focal length 20 cm forms an image of a 5 cm tall object at a dis\tance of 30 cm from the lens. What is the magnification?

A. 0.5

Correct B. 1.0

C. 1.5

D. 2.0

Correct Answer: B

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Question 14

A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life?

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 15

A spring of force cons\tant 100 N/m is stretched by 5 cm. What is the potential energy stored?

A. 1.25 J

Correct B. 2.50 J

C. 3.75 J

D. 5.00 J

Correct Answer: B

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Question 16

A 2.0 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?

A. 15 Ω

B. 20 Ω

Correct C. 25 Ω

D. 30 Ω

Correct Answer: C

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Question 17

A gas at 300 K and 1 atm is compressed to 2 atm. If the initial volume is 2.5 L, what is the final volume?

A. 1.25 L

Correct B. 1.5 L

C. 1.75 L

D. 2.0 L

Correct Answer: B

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Question 18

A particle moves in a circular path with a radius of 2 m and a frequency of 5 Hz. If the particle starts at the top of the circle and moves clockwise, what is the direction of the force acting on the particle?

A. towards the center

Correct B. away from the center

C. perp\endicular to the radius

D. along the radius

Correct Answer: B

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Question 19

A magnetic field of 0.5 T is directed along the z-axis. If a current of 2 A is flowing in a wire loop of radius 0.1 m, what is the magnitude of the magnetic moment?

A. 0.01 A m^2

Correct B. 0.02 A m^2

C. 0.03 A m^2

D. 0.04 A m^2

Correct Answer: B

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Question 20

A photon has an energy of 2.5 eV. If it is incident on a metal surface with a work function of 1.5 eV, what is the maximum kinetic energy of the emitted electron?

Correct A. 0.5 eV

B. 1.0 eV

C. 1.5 eV

D. 2.0 eV

Correct Answer: A

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Question 21

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 22

A lens of focal length 20 cm is placed in a beam of light. If the object dis\tance is 30 cm, what is the image dis\tance?

Correct A. 10 cm

B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: A

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Question 23

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

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 24

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?

Correct A. 5 m/s^2

B. 10 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: A

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Question 25

A lens of focal length 25 cm is placed in a beam of light. If the object dis\tance is 35 cm, what is the image dis\tance?

Correct A. 15 cm

B. 25 cm

C. 35 cm

D. 45 cm

Correct Answer: A

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