POST UTME ABU 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 2
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 3 m. If the initial phase angle is 30°, what is the equation of motion of the particle?
A. x(t) = 3 \sin\( 4\pi t + \frac{\pi}{6} \)
B. x(t) = 3 \sin\( 4\pi t - \frac{\pi}{6} \)
C. x(t) = 3 \cos\( 4\pi t + \frac{\pi}{6} \)
D. x(t) = 3 \cos\( 4\pi t - \frac{\pi}{6} \)
Question 3
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?
A. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 4
A beam of light is incident on a mirror at an angle of 30°. If the reflected ray makes an angle of 45° with the normal, what is the angle of incidence?
A. 20°
B. 30°
C. 40°
D. 50°
Question 5
A block of mass 2 kg is attached to a spring with a spring 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 6
A block of mass 5 kg is placed on a horizontal surface with a coefficient of friction of 0.2. If a force of 10 N is applied to the block, what is the acceleration of the block?
A. 0.2 m/s^2
B. 0.5 m/s^2
C. 1 m/s^2
D. 2 m/s^2
Question 7
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum velocity of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 8
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 60°, what is the angle of re\fraction?
A. 40°
B. 50°
C. 60°
D. 70°
Question 9
A beam of light is incident on a mirror at an angle of 45°. If the reflected ray makes an angle of 30° with the normal, what is the angle of incidence?
A. 20°
B. 30°
C. 40°
D. 50°
Question 10
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is its angular velocity?
A. 1.5 rad/s
B. 3 rad/s
C. 4.5 rad/s
D. 6 rad/s
Question 11
A 220 V AC supply is connected to a 100 Ω resistor. What is the current flowing through the resistor?
A. 2.2 A
B. 4.4 A
C. 6.6 A
D. 8.8 A
Question 12
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is given by $Z = \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}$. If the resis\tance is doubled and the induc\tance is halved, what is the new impedance?
A. \sqrt{4R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L - \frac{1}{2\omega C} \)^2}
C. \sqrt{4R^2 + \( \omega L - \frac{2}{\omega C} \)^2}
D. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
Question 13
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 15
A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area of the plates is doubled and the separation is halved, what is the new capaci\tance?
A. \frac{2\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{2d}
C. \frac{4\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{4d}

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