POST UTME RSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.
A. 10 N
B. 12 N
C. 15 N
D. 18 N
Question 2
A beam of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction $\theta_r$?
A. \theta_r = \theta_i
B. \theta_r = \frac{n}{\theta_i}
C. \theta_r = \frac{\theta_i}{n}
D. \theta_r = \frac{\sin \theta_i}{n}
Question 3
A 100 g block of ice at 0°C is placed in a 200 g block of water at 20°C. What is the final temperature of the mixture?
A. 10°C
B. 15°C
C. 20°C
D. 25°C
Question 4
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 $omega$ in terms of $k$ and $m$.
A. \omega = \frac{k}{m}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{m}{k}
D. \omega = \sqrt{\frac{k}{m}}
Question 5
A capacitor of 100 μF is charged to a potential difference of 50 V. If it is then connected to a resistor of 500 Ω, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 6
A car is traveling at a speed of 50 km/h. If the driver applies the brakes and the car comes to a stop in 5 seconds, what is the magnitude of the acceleration?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 7
A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?
A. 1.71 m
B. 1.71 cm
C. 1.71 km
D. 1.71 μm
Question 8
A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 9
A beam of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 10
A heat engine operates between a source at 500 K and a \sink at 300 K. If the efficiency of the engine is 30%, what is the temperature of the source?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 11
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source $V_0$ with frequency $f$, what is the impedance $Z$ of the circuit?
A. Z = \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. Z = \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. Z = \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2} + \frac{1}{\omega C}
D. Z = \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2} + \frac{1}{\omega C}
Question 12
A body of mass 5 kg is moving with a velocity of 2 m/s. Calculate the kinetic energy of the body.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 13
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new potential difference?
A. 6 V
B. 12 V
C. 24 V
D. 48 V
Question 14
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the potential difference between the plates is 10 V, calculate the capaci\tance.
A. 10^-9 F
B. 10^-8 F
C. 10^-7 F
D. 10^-6 F
Question 15
A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done?
A. -4 J
B. -2 J
C. 2 J
D. 4 J

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