POST UTME RSU 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas of $N$ non-interacting particles is confined to a box of volume $V$. The average kinetic energy of the particles is given by \( \frac{3}{2}NkT \). If the temperature of the gas is doubled, what happens to the average kinetic energy?
A. The average kinetic energy remains the same
B. The average kinetic energy increases by a factor of 2
C. The average kinetic energy increases by a factor of 4
D. The average kinetic energy decreases by a factor of 2
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \( \frac{L}{2} \)
B. \( \frac{L}{4} \)
C. \( \frac{3L}{4} \)
D. \( \frac{L}{pi} \)
Question 3
A 5 m long wire is carrying a current of 2 A. The magnetic field at a point 0.5 m from the wire is measured to be 0.02 T. Calculate the direction of the magnetic field u\sing the right-hand rule.
A. Into the page
B. Out of the page
C. Along the wire
D. Perp\endicular to the wire
Question 4
A magnetic field is produced by a current-carrying wire. If the current is doubled, what happens to the magnetic field?
A. The magnetic field remains the same
B. The magnetic field increases by a factor of 2
C. The magnetic field increases by a factor of 4
D. The magnetic field decreases by a factor of 2
Question 5
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 6
A ray of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $60^\circ$, what is the angle of deviation?
A. $30^\circ$
B. $60^\circ$
C. $90^\circ$
D. $120^\circ$
Question 7
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. Calculate the speed of the sound wave.
A. ( 300 ) m/s
B. ( 400 ) m/s
C. ( 500 ) m/s
D. ( 600 ) m/s
Question 8
A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the velocity of the wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 9
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the resis\tance is $10\,\Omega$ and the inductive reac\tance is $20\,\Omega$, what is the impedance of the circuit?
A. $10\,\Omega$
B. $20\,\Omega$
C. $30\,\Omega$
D. $40\,\Omega$
Question 10
A lens of focal length 20 cm is used to form an image of an object placed 30 cm away. Calculate the magnification of the image.
A. -1
B. -0.5
C. 0.5
D. 1
Question 11
A radioactive subs\tance has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 12
A block of mass 10 kg is placed on a frictionless surface. If a force of 30 N is applied to the block, calculate the acceleration produced in the block.
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2
Question 13
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 14
A simple harmonic motion has a time period of 2 s. If the amplitude is 5 cm, calculate the maximum velocity of the particle.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 15
A radioactive sample has a half-life of 10 minutes. If the initial activity is 1000 Bq, calculate the activity after 30 minutes.
A. ( 100 ) Bq
B. ( 200 ) Bq
C. ( 300 ) Bq
D. ( 400 ) Bq

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