POST UTME AAUA 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A projectile is launched from the origin with an initial velocity of $v_0$ at an angle of $\theta$ above the horizontal. What is the maximum height reached by the projectile?
A. \frac{v_0^2 \sin^2\theta}{2g}
B. \frac{v_0^2 \cos^2\theta}{2g}
C. \frac{v_0^2 \sin\theta}{2g}
D. \frac{v_0^2 \cos\theta}{2g}
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. If the particle experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 16 N
D. 20 N
Question 3
A nucleus of mass $A$ undergoes radioactive decay, emitting an \alpha particle of mass $m$. What is the energy released in the decay?
A. \( m_A - 2m \) c^2
B. \( m_A - m \) c^2
C. \( m_A + m \) c^2
D. \( m_A - 4m \) c^2
Question 4
A heat engine operates between a high-temperature reservoir at 500°C and a low-temperature reservoir at 100°C. What is the maximum efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 5
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 6
A \tank contains 1000 kg of water at a depth of 10 m. What is the pressure at the bottom of the \tank?
A. 100 kPa
B. 200 kPa
C. 500 kPa
D. 1000 kPa
Question 7
A 10 Ω resistor is connected in series with a 20 V battery. If the current through the circuit is 0.1 A, what is the power dissipated in the resistor?
A. 0.1 W
B. 0.2 W
C. 0.5 W
D. 1 W
Question 8
A ray of light passes from air into a glass slab at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 9
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 10
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 11
A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 12
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 13
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 15 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 14
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
A. 6.25 μF
B. 7.5 μF
C. 8.33 μF
D. 10 μF
Question 15
A magnetic field of magnitude $B$ is directed perp\endicular to a current-carrying wire of length $L$. The wire carries a current of $I$ and has a resis\tance of $R$. What is the force experienced by the wire?
A. BIL
B. BIL\sin\theta
C. BIL\cos\theta
D. BIL\tan\theta

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