POST UTME FUTO 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A 12 V battery is connected to a circuit containing a 4 Ω resistor and a 6 Ω resistor in series. What is the current in the circuit?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 3
A person is s\tanding on the edge of a cliff, 100 m above the ground. If the person throws a rock straight up with an initial velocity of 20 m/s, what is the maximum height reached by the rock?
A. 80 m
B. 90 m
C. 100 m
D. 110 m
Question 4
A nucleus of mass number A and atomic number Z undergoes \beta decay. Find the energy released in the decay.
A. \Delta E = \( m_n + m_p \)c^2
B. \Delta E = \( m_n - m_p \)c^2
C. \Delta E = \( m_n + m_p - m_p \)c^2
D. \Delta E = \( m_n - m_p + m_p \)c^2
Question 5
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 6
A gas is heated from $T_1$ to $T_2$ at cons\tant volume. If the initial pressure is $P_1$ and the final pressure is $P_2$, what is the magnitude of the change in internal energy of the gas?
A. \frac{3}{2}nR\( T_2 - T_1 \)
B. \frac{5}{2}nR\( T_2 - T_1 \)
C. \frac{7}{2}nR\( T_2 - T_1 \)
D. \frac{9}{2}nR\( T_2 - T_1 \)
Question 7
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 20 days?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 8
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 9
A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?
A. 1.715 m
B. 1.715 cm
C. 1.715 mm
D. 1.715 km
Question 10
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 11
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 12
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}}
Question 13
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 14
A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. What is the half-life of the sample?
A. \frac{\ln 2}{\lambda}
B. \frac{\ln 2}{\lambda^2}
C. \frac{\lambda}{\ln 2}
D. \frac{\lambda^2}{\ln 2}
Question 15
A circuit consists of a resistor R, an inductor L, and a capacitor C connected in series. The circuit is driven by an AC voltage source with a frequency f. Find the impedance Z of the circuit.
A. Z = R + \omega L - \frac{1}{\omega C}
B. Z = R + \omega L + \frac{1}{\omega C}
C. Z = R - \omega L + \frac{1}{\omega C}
D. Z = R - \omega L - \frac{1}{\omega C}

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: