POST UTME PAN-ATLANTIC UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If a force of 2 N is applied to the particle, what is the acceleration?
A. 0.5 m/s²
B. 1 m/s²
C. 2 m/s²
D. 5 m/s²
Question 2
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the centripetal force is $F_c$, find the value of the angular momentum $L$.
A. \( L = \frac{F_c r^2}{mv} \)
B. \( L = \frac{mv}{F_c r} \)
C. \( L = mvr \)
D. \( L = \frac{mv}{rF_c} \)
Question 3
A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The plates are charged with a charge $Q$ on each plate. If the dis\tance between the plates is doubled to $2d$, what is the new capaci\tance $C_{new}$?
A. \frac{Q}{V}
B. \frac{2Q}{V}
C. \frac{Q}{2V}
D. \frac{Q}{4V}
Question 4
A beam of light is incident on a prism at an angle of 60°. If the re\fractive index of the prism is 1.5, calculate the angle of deviation.
A. 30°
B. 45°
C. 60°
D. 75°
Question 5
A spring with a spring cons\tant $k$ is stretched by a dis\tance $x$. If the spring cons\tant is doubled to $2k$, what is the new force $F_{new}$?
A. 2kx
B. kx
C. \frac{kx}{2}
D. \frac{kx}{4}
Question 6
A particle is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s², calculate the time taken for the particle to reach a velocity of 10 m/s.
A. 2 s
B. 3 s
C. 4 s
D. 5 s
Question 7
A gas at 300 K is compressed from 10 L to 5 L. If the initial pressure is 2 atm, what is the final pressure?
A. 4 atm
B. 6 atm
C. 8 atm
D. 10 atm
Question 8
A particle of mass $m$ is moving in a straight line with a velocity $v$. If the particle is subject to a force $F$, find the value of the acceleration $a$.
A. \( a = \frac{mv}{F} \)
B. \( a = \frac{F}{mv} \)
C. \( a = \frac{F}{m} \)
D. \( a = \frac{mv}{F} \)
Question 9
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in parallel. What is the total resis\tance?
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 10
A charged particle moves through a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?
A. towards the north
B. towards the south
C. towards the east
D. towards the west
Question 11
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density?
A. A^2e^\( -2αx^2 \)
B. A^2e^\( -αx^2 \)
C. A^2e^\( αx^2 \)
D. A^2e^\( -2αx^4 \)
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. 20 Bq
B. 25 Bq
C. 30 Bq
D. 40 Bq
Question 13
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 14
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of deviation is $D$, find the value of the re\fractive index $n$.
A. \( n = \frac{\sin \left\( \frac{A}{2} \right \)}{\sin \left\( \frac{D}{2} \right \)} \)
B. \( n = \frac{\sin \left\( \frac{D}{2} \right \)}{\sin \left\( \frac{A}{2} \right \)} \)
C. \( n = \frac{\sin \left\( \frac{A}{2} \right \)}{\sin \left\( \frac{D}{2} \right \)} \)
D. \( n = \frac{\sin \left\( \frac{D}{2} \right \)}{\sin \left\( \frac{A}{2} \right \)} \)
Question 15
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of the dielectric cons\tant $K$.
A. \( K = \frac{Cd}{A \epsilon_0} \)
B. \( K = \frac{A \epsilon_0}{Cd} \)
C. \( K = \frac{Cd}{A \epsilon_0} \)
D. \( K = \frac{A \epsilon_0}{Cd} \)

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