POST UTME KSU 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path with a radius of 0.5 m. If the particle has a speed of 4 m/s, what is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 2
A 50 Hz AC voltage is applied across a 20 Ω resistor. Find the rms value of the current.
A. 1 A
B. 2 A
C. 3 A
D. 4 A
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. Find the magnitude of the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 4
A parallel plate capacitor has a capaci\tance of 20 μF and is charged to a potential difference of 30 V. If the plates are then separated by a dis\tance of 10 cm, what is the new capaci\tance?
A. 4 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 5
A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 6
A solid sphere of radius R is made of a material with a Young's modulus of Y. If a force F is applied \tangentially to the sphere's surface, the resulting strain is given by \( epsilon = \frac{F}{4 pi R^2 Y} \). What is the percentage increase in the sphere's volume due to this strain?
A. 0.25%
B. 0.5%
C. 1%
D. 2%
Question 7
A magnetic field of strength B is directed along the z-axis. A current-carrying wire of length L is placed in the x-y plane, perp\endicular to the magnetic field. If the wire carries a current I, what is the magnitude of the force exerted on the wire due to the magnetic field?
A. BIL
B. BIL / 2
C. BIL / 4
D. BIL / 8
Question 8
A radioactive sample of Δₗ emits Δₗ particles with a half-life of 5.27 years. If the initial activity is 2.5 × 10¹ Bq, what is the activity after 10 years?
A. 1.25 × 10¹ Bq
B. 2.5 × 10¹ Bq
C. 5.0 × 10¹ Bq
D. 6.25 × 10¹ Bq
Question 9
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil has a resis\tance of 10 Ω, what is the induced emf?
A. 0.5 V
B. 5 V
C. 10 V
D. 50 V
Question 10
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 236
B. 238
C. 240
D. 242
Question 11
A light ray passes through a prism of angle \( \theta \) and is re\fracted at an angle ( phi ). If the angle of incidence is \( 30^circ \) and the angle of emergence is \( 60^circ \), what is the angle of deviation?
A. \( 30^circ \)
B. \( 60^circ \)
C. \( 90^circ \)
D. \( 120^circ \)
Question 12
A capacitor consists of two parallel plates of area 0.1 m^2 and separation 0.01 m. If the capaci\tance is 10 nF, what is the charge stored when the potential difference is 5 V?
A. ( 0.05 ) C
B. ( 0.1 ) C
C. ( 0.15 ) C
D. ( 0.2 ) C
Question 13
A wave has a frequency of 100 Hz and a wavelength of 0.1 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 14
A current of 5 A flows through a resistor of 10 Ω. If the voltage across the resistor is 20 V, what is the power dissipated by the resistor?
A. 50 W
B. 100 W
C. 200 W
D. 500 W
Question 15
A light ray passes from air into a glass slab of thickness t and re\fractive index n. If the angle of incidence is θ, what is the angle of re\fraction?
A. \sin^{-1} \frac{n}{n_{air}} \sin \theta'
B. \sin^{-1} \frac{n_{air}}{n} \sin \theta'
C. \sin^{-1} \frac{n}{n_{air}} \cos \theta'
D. \sin^{-1} \frac{n_{air}}{n} \cos \theta'

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