POST UTME IMS U 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, what is the temperature of the hot reservoir?
A. \frac{T_1}{1-\eta}
B. \frac{T_2}{1-\eta}
C. \frac{T_1-T_2}{1-\eta}
D. \frac{T_1+T_2}{1-\eta}
Question 2
A sound wave has a frequency of $f$ and a speed of $v$. If the wave is reflected from a stationary surface, what is the frequency of the reflected wave?
A. f'
B. 2f'
C. f\left\( 1+\frac{v}{c}\right \)
D. f\left\( 1-\frac{v}{c}\right \)
Question 3
A 100 V, 50 Hz AC supply is connected to a 50 Ω resistor. Calculate the rms value of the current flowing through the resistor.
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 4
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the amplitude of the wave is 0.1 mm, find the intensity of the wave.
A. 10^-3 W/m^2
B. 10^-2 W/m^2
C. 10^-1 W/m^2
D. 10^0 W/m^2
Question 5
A light ray 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 6
A container filled with water is 2 m tall and has a base area of 0.5 m^2. If the density of water is 1000 kg/m^3, calculate the pressure at the bottom of the container.
A. 9800 Pa
B. 19600 Pa
C. 29400 Pa
D. 39200 Pa
Question 7
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a cons\tant force of 10 N, what is its acceleration?
A. 1 m/s^2
B. 2 m/s^2
C. 5 m/s^2
D. 10 m/s^2
Question 8
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. 1 m/s^2
B. 2 m/s^2
C. 5 m/s^2
D. 10 m/s^2
Question 9
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. What is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 8 m/s^2
C. \frac{16}{3} m/s^2
D. 12 m/s^2
Question 10
A magnetic field of 0.1 T is applied to a current-carrying wire. What is the force on the wire if it carries a current of 2 A?
A. 0.2 N
B. 0.4 N
C. 0.6 N
D. 0.8 N
Question 11
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?
A. 6 Ω
B. 8 Ω
C. 10 Ω
D. 12 Ω
Question 12
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of incidence is $i$, what is the angle of re\fraction?
A. \sin^{-1}\left\( \frac{n_2}{n_1}\sin i\right \)
B. \sin^{-1}\left\( \frac{n_1}{n_2}\sin i\right \)
C. \sin^{-1}\left\( \frac{n_2}{n_1}\cos i\right \)
D. \sin^{-1}\left\( \frac{n_1}{n_2}\cos i\right \)
Question 13
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 5 m/s
B. 10 m/s
C. 20 m/s
D. 50 m/s
Question 14
A 100 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. If the initial current is 0 A, find the current at t = 5 ms.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 15
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. 25 Bq
B. 50 Bq
C. 100 Bq
D. 200 Bq

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: