POST UTME BOWEN UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a 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 from rest, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. 4mv^2/r
B. 2mv^2/r
C. mv^2/r
D. mv^2/2r
Question 3
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 4
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. Calculate the current flowing through the circuit.
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 5
A 1000 W electric heater is connected to a 220 V power supply. If the resis\tance of the heater is 10 Ω, what is the current flowing through the heater?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 6
A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 9 V battery. If the current flowing through the wire is 0.5 A, what is the potential difference across the wire?
A. 2.25 V
B. 3.5 V
C. 4.5 V
D. 6.75 V
Question 7
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 8
A magnetic field B is directed along the z-axis. A current I flows through a wire loop of radius r, placed in the x-y plane. What is the magnetic flux Φ through the loop?
A. Bπr^2
B. Bπr^2 \cos(θ)
C. Bπr^2 \sin(θ)
D. Bπr^2 \tan(θ)
Question 9
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 10
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the frequency of the AC source is increased, what happens to the impedance of the circuit?
A. The impedance increases
B. The impedance decreases
C. The impedance remains the same
D. The impedance becomes zero
Question 11
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, calculate the activity of the sample after 30 minutes.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 12
A particle of mass m is confined to a one-dimensional box of length L. The wave function of the particle is given by ψ(x) = √\( 2/L \) * \sin\( nπx/L \), where n is a positive integer. What is the expectation value of the position operator x?
A. L/2
B. nπL/2
C. nπL/2 + L/2
D. nπL/2 - L/2
Question 13
A radioactive sample decays with a half-life of T1/2. What is the activity A of the sample after a time t?
A. A0 e^{-λt}
B. A0 e^{λt}
C. A0 + λt
D. A0 - λt
Question 14
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the high-temperature reservoir?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 15
A 2 m long wire of resis\tance 2 Ω is connected in series with a 6 V battery. If the current flowing through the wire is 1 A, what is the potential difference across the wire?
A. 2 V
B. 3 V
C. 4 V
D. 6 V

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