POST UTME AAUA 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle moves in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
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 convex lens of focal length 20 cm is placed in front of a screen. If an object is placed 30 cm in front of the lens, calculate the position of the image formed on the screen.
A. 40 cm
B. 50 cm
C. 60 cm
D. 70 cm
Question 4
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, calculate the activity of the sample after 10 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 5
A block of mass 5 kg is placed on a horizontal surface with a coefficient of kinetic friction of 0.2. If a force of 10 N is applied to the block, calculate the acceleration of the block.
A. 0.5 m/s^2
B. 1.0 m/s^2
C. 2.0 m/s^2
D. 5.0 m/s^2
Question 6
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 7
A wave with a frequency of 50 Hz and a wavelength of 10 m is traveling through a medium. What is the speed of the wave?
A. 500 m/s
B. 1000 m/s
C. 1500 m/s
D. 2000 m/s
Question 8
A 5 kg block of ice at 0°C is placed in a container of boiling water at 100°C. Assuming no heat loss to the surroundings, calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 9
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°
Question 10
A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the resulting displacement?
A. 0.5 m
B. 1 m
C. 2 m
D. 5 m
Question 11
A parallel beam of light of wavelength 600 nm is incident on a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 12
A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. \( \frac{v_0^2 \sin^2 \theta}{2g} \)
B. \( \frac{v_0^2 \sin \theta}{2g} \)
C. \( \frac{v_0^2 \cos \theta}{2g} \)
D. \( \frac{v_0^2 \sin \theta \cos \theta}{2g} \)
Question 13
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on each plate?
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 14
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 15
A radioactive sample has a half-life of 2 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 6 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

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