POST UTME ESUT 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A current of 5 A flows through a wire of resis\tance 10 Ω. What is the power dissipated by the wire?
A. 25 W
B. 50 W
C. 75 W
D. 100 W
Question 2
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. \(\omega = \sqrt{\frac{k}{m}}\)
B. \(\omega = \sqrt{\frac{m}{k}}\)
C. \(\omega = \frac{k}{m}\)
D. \(\omega = \frac{m}{k}\)
Question 3
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A parallel plate capacitor consists of two plates, each of area $A$, separated by a dis\tance $d$. The capacitor is charged to a potential difference $V$. What is the energy stored in the capacitor?
A. \frac{1}{2} \frac{A \epsilon_0 V^2}{d}
B. \frac{1}{2} \frac{A V^2}{d}
C. \frac{1}{2} \frac{A \epsilon_0 V^2}{d^2}
D. \frac{1}{2} \frac{A V^2}{d^2}
Question 5
A beam of light passes through a prism and is re\fracted. If the angle of incidence is $i$ and the angle of re\fraction is $r$, what is the angle of deviation?
A. \( D=i-r \)
B. \( D=i+r \)
C. \( D=i-r \)
D. \( D=i+r \)
Question 6
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?
A. 1
B. 2
C. 3
D. 4
Question 7
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 capacitor is charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?
A. 0.01 F
B. 0.1 F
C. 1 F
D. 10 F
Question 8
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 9
A 50 Hz AC voltage is applied across a circuit containing a 10 Ω resistor and a 20 μF capacitor in series. If the current is 2 A, calculate the phase angle between the voltage and current.
A. 30°
B. 45°
C. 60°
D. 75°
Question 10
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature is increased by 20°C, calculate the new pressure of the gas.
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa
Question 11
A particle of mass 1 kg is moving in a circular path of radius 2 m with a uniform speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?
A. 2 N
B. 3 N
C. 4 N
D. 5 N
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
C. 25 m
D. 30 m
Question 13
A nucleus of mass number $A$ and atomic number $Z$ undergoes radioactive decay. If the decay cons\tant is $\lambda$, determine the activity of the nucleus.
A. \(A = \lambda N\)
B. \(A = \frac{\lambda N}{A}\)
C. \(A = \frac{\lambda N}{Z}\)
D. \(A = \lambda^2 N\)
Question 14
A particle of mass 5 kg is moving in a circular path with a cons\tant speed of 6 m/s. If the radius of the path is 4 m, calculate the magnitude of the force acting on the particle.
A. 18 N
B. 22 N
C. 26 N
D. 30 N
Question 15
A particle of mass 2 kg is moving in a circular path of radius 3 m with a uniform 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. 8 N
B. 10 N
C. 12 N
D. 16 N

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