POST UTME VERITAS UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 2
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, what is its angular frequency?
A. 1 rad/s
B. 2 rad/s
C. 3 rad/s
D. 4 rad/s
Question 3
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. What is the wavelength of the sound wave?
A. \( \frac{v}{f} \)
B. \( \frac{f}{v} \)
C. \( \frac{A}{v} \)
D. \( \frac{v}{A} \)
Question 4
A current of 2 A flows through a resistor of 10 ohms for 5 seconds. Calculate the energy dissipated in the resistor.
A. 20 J
B. 40 J
C. 60 J
D. 80 J
Question 5
A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F. If the particle's speed is increased by a factor of 2, what is the new radius of the orbit?
A. r/4
B. 2r
C. 4r
D. r/2
Question 6
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the centripetal acceleration?
A. \( \frac{v^2}{r} \)
B. \( \frac{r}{v^2} \)
C. \( \frac{v}{r} \)
D. \( \frac{r}{v} \)
Question 7
A parallel plate capacitor has plates of area 0.1 m^2 and separation 0.01 m. If the capaci\tance is 10 nF, what is the dielectric cons\tant of the material between the plates?
A. 1
B. 2
C. 3
D. 4
Question 8
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 2.5 x 10^-10 F
B. 5.0 x 10^-10 F
C. 7.5 x 10^-10 F
D. 1.0 x 10^-9 F
Question 9
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 10
A lens of focal length 10 cm is used to form an image of an object at a dis\tance of 20 cm. If the object is moved to a dis\tance of 30 cm, what is the new image dis\tance?
A. -10 cm
B. -20 cm
C. -30 cm
D. -40 cm
Question 11
A ray of light passes through a prism of angle 60 degrees. If the angle of incidence is 30 degrees, calculate the angle of re\fraction.
A. 20 degrees
B. 30 degrees
C. 40 degrees
D. 50 degrees
Question 12
A body of mass 2 kg is moving with a velocity of 5 m/s. If it is acted upon by a force of 10 N, what is its acceleration?
A. 1 m/s^2
B. 2 m/s^2
C. 5 m/s^2
D. 10 m/s^2
Question 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position of the particle?
A. \( \frac{L}{2} \)
B. \( \frac{n\pi L}{2} \)
C. \( \frac{n^2\pi^2 L^2}{4} \)
D. \( \frac{L}{n\pi} \)
Question 14
A capacitor consists of two parallel plates of area A, separated by a dis\tance d. If the capaci\tance is C, what is the charge on the plates when a potential difference of V is applied?
A. CV
B. AV
C. \frac{CV}{2}
D. \frac{AV}{d}
Question 15
A 10 kg block is moving on a frictionless surface with an initial velocity of 5 m/s. If a force of 20 N is applied to the block for 2 s, what is its final velocity?
A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

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