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POST UTME NOUN 2019 Physics | Objective

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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, what is the new centripetal force $F_{c,new}$?

Correct A. 4mv^2/r

B. 2mv^2/r

C. mv^2/r

D. mv^4/r

Correct Answer: A

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Question 2

A circuit consists of a resistor $R_1$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V(t) = V_0 \sin(omega t)$. If the induc\tance is doubled, what is the new inductive reac\tance $X_L,new$?

A. \omega L

Correct B. 2\omega L

C. \omega (2L)

D. 4\omega L

Correct Answer: B

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Question 3

A wave of wavelength $\lambda$ and frequency $f$ is incident on a double-slit apparatus. The slits are separated by a dis\tance $d$. If the wavelength is doubled, what is the new fringe width $\beta_{new}$?

Correct A. \frac{2\lambda d}{D}

B. \frac{\lambda d}{D}

C. \frac{4\lambda d}{D}

D. \frac{\lambda (2d)}{D}

Correct Answer: A

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Question 4

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field $B$ with a velocity $v$. The particle experiences a force $F$ given by $F = qvB$. If the velocity is doubled, what is the new force $F_{new}$?

A. 2qvB

B. qvB

C. 4qvB

Correct D. q(2v)B

Correct Answer: D

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Question 5

A circuit consists of a resistor $R$ and a capacitor $C$ connected in series. The circuit is driven by a voltage source $V(t) = V_0 \sin(omega t)$. If the capaci\tance is doubled, what is the new capacitive reac\tance $X_C,new$?

A. \frac{1}{\omega C}

Correct B. \frac{1}{\omega (2C)}

C. \frac{2}{\omega C}

D. \frac{1}{2\omega C}

Correct Answer: B

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Question 6

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?

Correct A. \frac{v^2}{r}

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

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

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

Correct Answer: A

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Question 7

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 2 A

Correct B. 3 A

C. 4 A

D. 5 A

Correct Answer: B

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Question 8

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?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 9

A radioactive sample decays at a rate of 10% per hour. If the initial amount of the sample is 100 g, what is the amount of the sample remaining after 3 hours?

A. 10 g

B. 20 g

C. 30 g

Correct D. 40 g

Correct Answer: D

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Question 10

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 11

A gas at 300 K is heated to 400 K. If the initial volume is 2.5 L, what is the final volume if the gas is ideal?

A. 5.0 L

Correct B. 6.25 L

C. 7.5 L

D. 8.0 L

Correct Answer: B

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Question 12

A nucleus of mass number 240 has a neutron-to-proton ratio of 1.5. What is the number of neutrons in the nucleus?

A. 120

Correct B. 150

C. 180

D. 200

Correct Answer: B

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Question 13

A 100 Ω resistor is connected in series with a 50 Ω resistor and a 200 Ω resistor. What is the equivalent resis\tance?

A. 150 Ω

B. 200 Ω

Correct C. 250 Ω

D. 300 Ω

Correct Answer: C

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Question 14

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

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Question 15

A convex lens with a focal length of 20 cm is used to form an image of an object at a dis\tance of 30 cm. What is the magnification of the image?

A. 0.5

Correct B. 1.0

C. 1.5

D. 2.0

Correct Answer: B

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Question 16

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/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 17

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 18

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the voltage across the 6 Ω resistor?

A. 8 V

Correct B. 10 V

C. 12 V

D. 16 V

Correct Answer: B

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Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, 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 20

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the direction of the wave number?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 21

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position of the particle?

Correct A. \frac{L}{2}

B. \frac{n\pi L}{2}

C. \frac{L}{n\pi}

D. \frac{2L}{n^2\pi^2}

Correct Answer: A

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Question 22

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 $F_c = \frac{mv^2}{r}$. What is the acceleration of the particle?

Correct A. \frac{v^2}{r}

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

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

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

Correct Answer: A

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Question 23

A coil of wire is placed in a magnetic field of strength $B$. The coil has $N$ turns and a cross-sectional area $A$. What is the magnetic flux through the coil?

Correct A. NAB\cos$ \theta $

B. NAB\sin$ \theta $

C. NAB\cos$ \theta $

D. NAB\sin$ \theta $

Correct Answer: A

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Question 24

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 $V$. 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 25

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 $F_c = \frac{mv^2}{r}$. What is the angular momentum of the particle?

Correct A. mvr

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

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

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

Correct Answer: A

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