POST UTME AAUA 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. What is the nature of the image formed?
A. Real and inverted
B. Virtual and erect
C. Real and erect
D. Virtual and inverted
Question 2
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 force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 3
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 4
A particle is moving in a circular path with a radius of 5 m and a speed of 10 m/s. What is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 5
A 200 Ω resistor is connected in series with a 100 μF capacitor and a 50 mH inductor. If the frequency of the AC source is 50 Hz, calculate the impedance of the circuit.
A. 150 Ω
B. 200 Ω
C. 250 Ω
D. 300 Ω
Question 6
A body of mass 10 kg is moving with a velocity of 5 m/s. What is its kinetic energy?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 7
A block of mass 10 kg is susp\ended from a spring with a force cons\tant of 30 N/m. If the block is displaced by 1 m from its equilibrium position and released from rest, what is the period of the block's motion?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 8
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 9
A radioactive sample has an initial activity of 100 Bq. After 2 hours, its activity decreases to 50 Bq. What is the half-life of the sample?
A. 1 h
B. 2 h
C. 3 h
D. 4 h
Question 10
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.
A. 20 Bq
B. 30 Bq
C. 40 Bq
D. 50 Bq
Question 11
A force of 10 N is applied to an object, cau\sing it to accelerate at 2 m/s^2. What is the mass of the object?
A. 5 kg
B. 10 kg
C. 15 kg
D. 20 kg
Question 12
A block of mass $m$ is attached to a horizontal spring with a spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the maximum speed of the block?
A. \( \sqrt{\frac{kx^2}{m}} \)
B. \( \sqrt{\frac{kx}{m}} \)
C. \( \sqrt{\frac{k}{mx}} \)
D. \( \sqrt{\frac{m}{kx}} \)
Question 13
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, what is the capaci\tance?
A. 0.1 F
B. 0.2 F
C. 0.5 F
D. 1 F
Question 14
A gas is heated from 300 K to 400 K at cons\tant volume. Calculate the change in the root mean square speed of the gas molecules.
A. \sqrt{2}
B. \sqrt{3}
C. \sqrt{4}
D. \sqrt{5}
Question 15
A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, calculate the angle of emergence.
A. 25°
B. 30°
C. 35°
D. 40°

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