POST UTME NILE UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens has a focal length of 20 cm. What is the magnification of an object placed 30 cm in front of the lens?
A. -0.5
B. -1
C. -2
D. -3
Question 2
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity after 20 minutes?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 3
A thermodynamic system undergoes a cyclic process consisting of two isochoric processes and two isobaric processes. If the volume of the system increases by 20% during the first isochoric process, and the pressure decreases by 15% during the second isobaric process, what is the net change in internal energy of the system?
A. -10%
B. 0%
C. 10%
D. 20%
Question 4
A gas is enclosed in a container with a movable piston. The gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 2
B. 4
C. 8
D. 16
Question 5
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 0.5 mm and dielectric cons\tant 5 is inserted between the plates, what is the new capaci\tance?
A. 15 μF
B. 20 μF
C. 25 μF
D. 30 μF
Question 6
A gas is contained in a cylinder with a movable piston. If the pressure of the gas is increased by 20% and the volume is decreased by 15%, what is the new temperature of the gas?
A. 10°C
B. 20°C
C. 30°C
D. 40°C
Question 7
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.
A. 4 N
B. 8 N
C. 12 N
D. 16 N
Question 8
A 5 kg block is moving at a speed of 2 m/s on a frictionless surface. What is the kinetic energy of the block?
A. 5 J
B. 10 J
C. 15 J
D. 20 J
Question 9
A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 100 J
B. 200 J
C. 500 J
D. 1000 J
Question 10
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates when the potential difference between them is 100 V?
A. 4.0 x 10^-10 C
B. 8.0 x 10^-10 C
C. 1.6 x 10^-9 C
D. 3.2 x 10^-9 C
Question 11
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is increased by a factor of $2$, what is the new capaci\tance?
A. \frac{C}{2}
B. \frac{C}{4}
C. 2C
D. 4C
Question 12
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The dielectric cons\tant of the material between the plates is 3. The capacitor is connected to a 12 V battery. Calculate the energy stored in the capacitor.
A. 9.36 × 10^-9 J
B. 1.88 × 10^-8 J
C. 2.88 × 10^-8 J
D. 3.88 × 10^-8 J
Question 13
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. What is the magnitude of the momentum of the particle?
A. 5 kg m/s
B. 10 kg m/s
C. 15 kg m/s
D. 20 kg m/s
Question 14
A beam of light is incident on a prism at an angle of incidence of $30^\circ$. If the re\fractive index of the prism is $1.5$, what is the angle of re\fraction?
A. \sin^{-1}\left\( \frac{\sin 30^\circ}{1.5}\right \)
B. \sin^{-1}\left\( \frac{\sin 60^\circ}{1.5}\right \)
C. \sin^{-1}\left\( \frac{\sin 45^\circ}{1.5}\right \)
D. \sin^{-1}\left\( \frac{\sin 90^\circ}{1.5}\right \)
Question 15
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the frequency of the alternating current is $f$, what is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
D. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}

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