POST UTME FUTO 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 2
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 3
A light ray passes from air into a glass block at an angle of incidence of 30°. If the angle of re\fraction is 20°, what is the re\fractive index of the glass?
A. 1.2
B. 1.5
C. 1.8
D. 2.0
Question 4
A radioactive sample decays with a half-life of $t_{1/2}$. If the initial activity is $A_0$ and the final activity is $A$, what is the magnitude of the decay cons\tant?
A. \frac{\ln 2}{t_{1/2}}
B. \frac{t_{1/2}}{\ln 2}
C. \frac{A_0 - A}{t_{1/2}}
D. \frac{A_0 + A}{t_{1/2}}
Question 5
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 0.5 T. If the particle is moving with a speed of 3 m/s, what is the magnitude of the force acting on the particle?
A. 1 N
B. 2 N
C. 3 N
D. 4 N
Question 6
A 100 V, 50 Hz AC source is connected to a circuit containing a 20 Ω resistor and an inductor of induc\tance 0.1 H. The circuit is initially at rest. What is the maximum current in the circuit?
A. 10 A
B. 20 A
C. 30 A
D. 40 A
Question 7
A magnetic field is produced by a current-carrying wire. The magnetic field at a dis\tance $r$ from the wire is given by $B(r) = \frac{\mu_0 I}{2\pi r}$. What is the direction of the magnetic field at a dis\tance $r$ from the wire?
A. \hat{\phi}
B. -\hat{\phi}
C. \hat{r}
D. -\hat{r}
Question 8
A block of mass 3 kg is moving in a straight line with a speed of 5 m/s. If the block is subjected to a force of 10 N, what is the acceleration of the block?
A. 2 m/s^2
B. 3 m/s^2
C. 4 m/s^2
D. 5 m/s^2
Question 9
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum velocity of the particle?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 10
A ray 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. 25°
C. 30°
D. 35°
Question 11
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will be the effect on the volume of the gas?
A. The volume will decrease
B. The volume will increase
C. The volume will remain cons\tant
D. The volume will increase and then decrease
Question 12
A beam of light of wavelength λ passes through a double-slit apparatus. The dis\tance between the slits is d, and the dis\tance from the slits to the screen is L. Find the angle θ at which the first minimum occurs.
A. \theta = \frac{\lambda}{2d}
B. \theta = \frac{2\lambda}{d}
C. \theta = \frac{\lambda}{d}
D. \theta = \frac{2\lambda}{d}
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed of $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{4r}
D. \frac{mv^2}{8r}
Question 14
A circuit consists of a resistor of resis\tance $R$ and an inductor of induc\tance $L$ connected in series. If the circuit is subjected to a \sinusoidal voltage source of amplitude $V_0$ and frequency $f$, what is the magnitude of the current in the circuit?
A. \frac{V_0}{\sqrt{R^2 + \( 2\pi f L \)^2}}
B. \frac{V_0}{R}
C. \frac{V_0}{2\pi f L}
D. \frac{V_0}{4\pi^2 f^2 L^2}
Question 15
A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced by a dis\tance x from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency ω.
A. \omega = \frac{1}{\sqrt{m}}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{k}{m}
D. \omega = \sqrt{\frac{k}{m}}

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: