POST UTME VERITAS UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A 5 kg object is moving in a circular path with a radius of 2 m. If it has a speed of 4 m/s, what is its centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 3
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 4
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.40
D. 0.50
Question 5
A ray of light passes from air into a glass of re\fractive index 1.5. 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 6
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 7
A magnetic field is given by \( \vec{B} = \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^3} \). What is the magnetic field at a point on the axis of the dipole?
A. \( \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^3} \)
B. \( \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^2} \)
C. \( \frac{\mu_0}{4\pi} \frac{\vec{r}}{r} \)
D. \( \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^2} \)
Question 8
A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to rise by $\Delta T$. What is the change in pressure?
A. \( \frac{nR\Delta T}{V} \)
B. \( \frac{n\Delta T}{V} \)
C. \( \frac{V\Delta T}{nR} \)
D. \( \frac{nR}{V\Delta T} \)
Question 9
A circuit consists of a 9 V battery, a 2 ohm resistor, and a 3 ohm resistor connected in series. Calculate the total resis\tance of the circuit.
Question 10
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 11
A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in parallel. Calculate the total resis\tance of the circuit.
A. 2 ohms
B. 3 ohms
C. 4 ohms
D. 5 ohms
Question 12
A nucleus of mass number 238 has a binding energy of 170 MeV. What is its binding energy per nucleon?
A. 0.7 MeV
B. 1.0 MeV
C. 1.5 MeV
D. 2.0 MeV
Question 13
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 14
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 15
A particle of mass m is moving in a straight line with an initial velocity v0. If the particle experiences a cons\tant acceleration a, what is the velocity of the particle after time t?
A. v0 + at
B. v0 - at
C. v0 + 2at
D. v0 - 2at

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