POST UTME MOUNTAIN TOP UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?
A. \frac{Cd}{\epsilon_0 A}
B. \frac{\epsilon_0 A}{Cd}
C. \frac{Cd}{\epsilon_0 A}
D. \frac{\epsilon_0 A}{Cd}
Question 2
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 3
A 2 kg object is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. If the object is subjected to a centripetal force of 8 N, what is the magnitude of the acceleration of the object?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 4
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 5
A wave has a frequency of 50 Hz and a wavelength of 0.2 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 6
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the mass number of the daughter nucleus is 234, what is the mass number of the \alpha particle?
A. 4
B. 6
C. 8
D. 10
Question 8
A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 10
A radioactive sample decays with a half-life of $T_{1/2} = 10$ years. If the initial activity is $A_0 = 100$ Bq, what is the activity after $t = 20$ years?
A. 50Bq
B. 25Bq
C. 12.5Bq
D. 6.25Bq
Question 11
A light source is placed 2 m away from a convex lens of focal length 1 m. If the light source is moved 1 m closer to the lens, what is the new image dis\tance?
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 12
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{v}{r}
C. \frac{r}{v}
D. \frac{v}{r^2}
Question 13
A force $F$ is applied to a particle of mass $m$ at an angle $\theta$ to the horizontal. If the particle is moving in a circular path of radius $r$, what is the magnitude of the acceleration of the particle?
A. \frac{F}{m} \sin \theta
B. \frac{F}{m} \cos \theta
C. \frac{F}{m} \sin \theta
D. \frac{F}{m} \cos \theta
Question 14
A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.5 A m^2
C. 1.0 A m^2
D. 5.0 A m^2
Question 15
A lens has a focal length of 20 cm. If an object is placed 30 cm from the lens, what is the image dis\tance?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm

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