POST UTME BOWEN UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 kg block is moving with a velocity of 10 m/s. If the block is brought to rest in 2 s, what is the magnitude of the force acting on the block?
A. 5 N
B. 10 N
C. 20 N
D. 50 N
Question 2
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. If the particle is subject to a centripetal force F_c, what is the magnitude of the acceleration of the particle?
A. \( a = \frac{v^2}{r} \)
B. \( a = \frac{mv^2}{r^2} \)
C. \( a = \frac{mv^2}{r} \)
D. \( a = \frac{v}{r} \)
Question 3
A wave of frequency 100 Hz and wavelength 2 m is traveling through a medium. If the speed of the wave is 300 m/s, calculate the amplitude of the wave.
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 4
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 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 5
A solid sphere of radius R is floating in a liquid of density ρ. If the sphere is displaced slightly from its equilibrium position, it will experience a restoring force due to the buoyant force. U\sing Hooke's Law, derive an expression for the spring cons\tant k in terms of R and ρ.
A. \( k = \frac{4}{3} \pi R^3 \rho g \)
B. \( k = \frac{2}{3} \pi R^3 \rho g \)
C. \( k = \frac{1}{3} \pi R^3 \rho g \)
D. \( k = \frac{1}{2} \pi R^3 \rho g \)
Question 6
A parallel plate capacitor has plates of area 0.02 m^2 and separation 0.005 m. If the capaci\tance is 5.0 nF, what is the value of the dielectric cons\tant?
A. 1.0
B. 2.0
C. 3.0
D. 4.0
Question 7
A particle of mass m is moving in a circular orbit of radius r with a speed v. What is the centripetal force F_c acting on the particle?
A. \( m v^2 \) / r
B. m v^2
C. m v^3
D. m v^4
Question 8
A magnetic field is produced by a current-carrying wire. If the current is doubled, what happens to the magnetic field?
A. The magnetic field increases by a factor of 2
B. The magnetic field decreases by a factor of 2
C. The magnetic field remains the same
D. The magnetic field increases by a factor of 4
Question 9
A 100 W bulb is connected to a 230 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 10
A capacitor C is connected to a battery of voltage V. The capacitor is initially uncharged. What is the charge Q on the capacitor after a time t?
A. CV
B. CV\( 1 - e^{-t/RC} \)
C. CV\( 1 + e^{-t/RC} \)
D. CV\( 1 - e^{t/RC} \)
Question 11
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 12
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge on the capacitor when a potential difference of 10 V is applied across it?
A. 10^-5 C
B. 10^-4 C
C. 10^-3 C
D. 10^-2 C
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the point of launch, what is the time of flight?
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
Question 14
A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in series. What is the current flowing through the 4 ohm resistor?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 15
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 and then released, what is the maximum speed of the block?
A. \( v_{max} = \sqrt{\frac{kx}{m}} \)
B. \( v_{max} = \sqrt{\frac{kx^2}{m}} \)
C. \( v_{max} = \sqrt{\frac{mx^2}{k}} \)
D. \( v_{max} = \sqrt{\frac{mx}{k}} \)

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