POST UTME CALEB UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The force acting on the particle is given by $F=\frac{mv^2}{r}$. If the speed of the particle is doubled, what is the new force?
A. \frac{2mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{r}
D. \frac{4mv^2}{r}
Question 2
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subjected to a magnetic field of strength $B$, what is the magnitude of the magnetic force acting on it?
A. \( \frac{m v^2}{r} \)
B. \( \frac{m v^2}{r} \sin \theta \)
C. \( \frac{m v^2}{r} \cos \theta \)
D. \( \frac{m v^2}{r} \tan \theta \)
Question 3
A wave function $\psi(x)$ is given by $\psi(x)=Ae^{ikx}$, where $A$ is a cons\tant and $k$ is the wave number. What is the probability density of the wave function?
A. |A|^2
B. A^2
C. A^2e^{-2ikx}
D. A^2e^{2ikx}
Question 4
A radioactive sample of Uranium-238 undergoes \alpha decay. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?
A. 1.54\times 10^{-18} s^-1
B. 1.54\times 10^{-17} s^-1
C. 1.54\times 10^{-16} s^-1
D. 1.54\times 10^{-15} s^-1
Question 5
A gas at $25^{circ}C$ and $1.0 \times 10^5 , Pa$ is heated to $50^{circ}C$ while maintaining cons\tant pressure. What is the new volume of the gas?
A. \( 1.33 , m^3 \)
B. \( 1.67 , m^3 \)
C. \( 2.00 , m^3 \)
D. \( 2.33 , m^3 \)
Question 6
A simple harmonic motion has a maximum displacement of 5 cm and a time period of 2 s. What is the angular frequency?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 9.42 rad/s
Question 7
A light ray passes from air into a glass slab of thickness $t$ and re\fractive index $\mu$. The angle of incidence is $\theta_i$. What is the angle of re\fraction?
A. \sin^{-1}\left\( \frac{\mu \sin \theta_i}{1+\mu \sin \theta_i}\right \)
B. \sin^{-1}\left\( \frac{\sin \theta_i}{\mu}\right \)
C. \sin^{-1}\left\( \frac{\sin \theta_i}{1+\mu}\right \)
D. \sin^{-1}\left\( \frac{\mu \sin \theta_i}{1-\mu \sin \theta_i}\right \)
Question 8
A body of mass 10 kg is at rest on a horizontal surface. A horizontal force of 20 N is applied to the body. If the coefficient of static friction between the body and the surface is 0.5, what is the acceleration of the body?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 9
A circuit consists of a $10 , Omega$ resistor, a $5 , Omega$ resistor, and a $20 , Omega$ resistor connected in series. If a voltage of $12 , V$ is applied across the circuit, what is the current flowing through the $10 , Omega$ resistor?
A. ( 0.4 , A )
B. ( 0.6 , A )
C. ( 0.8 , A )
D. ( 1.0 , A )
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 net force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 11
A 5.0 m long wire is susp\ended from a fixed point and hangs vertically. If the mass per unit length of the wire is 0.05 kg/m, calculate the tension in the wire u\sing the formula: T = mg.
A. 0.25 N
B. 0.5 N
C. 1.0 N
D. 2.0 N
Question 12
A sound wave with frequency 200 Hz and amplitude 0.1 m is traveling through a medium with speed 340 m/s. If the wave is reflected from a rigid boundary, what is the amplitude of the reflected wave?
A. 0.05 m
B. 0.1 m
C. 0.15 m
D. 0.2 m
Question 13
A radioactive subs\tance has a half-life of 5 years. If 100 g of the subs\tance is initially present, how much of the subs\tance will remain after 10 years?
A. 25 g
B. 50 g
C. 75 g
D. 100 g
Question 14
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The current through the circuit is given by $I=\frac{V}{R+L\omega}$, where $V$ is the voltage and $\omega$ is the angular frequency. If the voltage is doubled and the angular frequency is halved, what is the new current?
A. \frac{2V}{R+L\omega}
B. \frac{V}{R+L\omega}
C. \frac{V}{R+2L\omega}
D. \frac{2V}{R+2L\omega}
Question 15
A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 3000 Ω resistor. If a 6 V battery is connected across the circuit, what is the current flowing through the 2000 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A

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