POST UTME BSU 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A capacitor of capaci\tance C is charged to a potential difference V. If the capacitor is connected to a resistor R, what is the time cons\tant of the RC circuit?
A. CR
B. \frac{1}{CR}
C. \frac{CR}{V}
D. \frac{V}{CR}
Question 2
A particle of mass 1 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal acceleration of 3 m/s^2, what is the magnitude of the force acting on the particle?
A. 12 N
B. 15 N
C. 18 N
D. 20 N
Question 3
A 50g mass is attached to a spring with a spring cons\tant of 100N/m. If the mass is displaced by 2cm and then released, calculate the maximum velocity of the mass.
A. \( 0.5m/s \)
B. \( 1m/s \)
C. \( 1.5m/s \)
D. \( 2m/s \)
Question 4
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, calculate the activity of the sample after 10 years.
A. ( 1000Bq )
B. ( 500Bq )
C. ( 250Bq )
D. ( 125Bq )
Question 5
A parallel plate capacitor has a capaci\tance of 2.5 μF. If the potential difference between the plates is 10 V, what is the charge on the positive plate?
A. 25 μC
B. 50 μC
C. 75 μC
D. 100 μC
Question 6
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 7
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is its angular momentum $L$?
A. \frac{mv^2r}{\sqrt{k}}
B. \frac{mv^2}{\sqrt{k}}
C. \frac{mv}{\sqrt{k}}
D. \frac{mv^2}{k}
Question 8
A 1000(Omega) resistor is connected in series with a 20(mu)F capacitor across a 200V AC supply. If the frequency of the supply is 50Hz, calculate the impedance of the circuit.
A. ( 1000Omega )
B. ( 2000Omega )
C. ( 5000Omega )
D. ( 10000Omega )
Question 9
A ray of light passes from air into a glass slab of re\fractive index \mu. If the angle of incidence is 30\circ, what is the angle of re\fraction?
A. 30\circ
B. 45\circ
C. 60\circ
D. 75\circ
Question 10
A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the displacement of the spring?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 11
A parallel-plate capacitor has a capaci\tance of $C = 2 \mu F$. If a potential difference of $V = 10 V$ is applied across the plates, what is the charge stored on each plate?
A. 20 \mu C
B. 10 \mu C
C. 5 \mu C
D. 2.5 \mu C
Question 12
A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. If the capaci\tance of the capacitor is 10 μF, calculate the charge stored on the capacitor when a potential difference of 5 V is applied across it.
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 13
A current I flows through a wire of resis\tance R. If the wire is bent into a circular loop of radius r, what is the magnetic field B at the center of the loop?
A. \frac{\mu_0 I}{2r}
B. \frac{\mu_0 I}{r}
C. \frac{\mu_0 I}{4r}
D. \frac{\mu_0 I}{8r}
Question 14
A particle of mass m moves in a circular orbit of radius r under the influence of a centripetal force F. If the particle is displaced by a dis\tance x from its equilibrium position, what is the potential energy U?
A. \frac{1}{2}m\omega^2x^2
B. \frac{1}{2}m\omega^2r^2
C. \frac{1}{2}m\omega^2x
D. \frac{1}{2}m\omega^2r
Question 15
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 12 m/s^2
B. 16 m/s^2
C. 20 m/s^2
D. 24 m/s^2

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: