POST UTME FUTA 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 2
A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 500 m/s
B. 1000 m/s
C. 1500 m/s
D. 2000 m/s
Question 3
A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 4
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm away from the lens. Calculate the magnification of the image.
A. 1.5
B. 2.0
C. 2.5
D. 3.0
Question 5
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V$. Find the impedance $Z$ in terms of $R$ and $L$.
A. \sqrt{R^2 + \( \omega L \)^2}
B. \sqrt{R^2 - \( \omega L \)^2}
C. \sqrt{\( \omega R \)^2 + \( \omega L \)^2}
D. \sqrt{\( \omega R \)^2 - \( \omega L \)^2}
Question 6
A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. If the motion starts from its equilibrium position, what is the equation of motion?
A. x(t) = 5\sin\( \pi t \)
B. x(t) = 5\sin\( 2\pi t \)
C. x(t) = 5\sin\( \pi t/2 \)
D. x(t) = 5\sin\( 2\pi t/2 \)
Question 7
A particle of mass 3 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2
Question 8
A beam of light passes through a prism and is re\fracted. The angle of incidence is $30^\circ$, and the angle of re\fraction is $20^\circ$. Find the angle of deviation $\delta$.
A. 10^\circ
B. 20^\circ
C. 30^\circ
D. 40^\circ
Question 9
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 10
A 100 V AC source is connected to a 50 Ω resistor. If the current is 2 A, what is the power consumed by the resistor?
A. 200 W
B. 250 W
C. 300 W
D. 350 W
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Find the centripetal force $F_c$ in terms of $m$, $r$, and $v$.
A. \frac{m v^2}{r}
B. \frac{m r^2}{v}
C. \frac{v^2}{m r}
D. \frac{r^2}{m v}
Question 12
A gas is contained in a cylinder of volume 10 L at a pressure of 2 atm. If the temperature of the gas is increased by 20°C, what is the new pressure of the gas?
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 13
A 2.5 V battery is connected in series with a 5 ohm resistor and a 10 ohm resistor. What is the total resis\tance in the circuit?
A. 3 ohms
B. 4 ohms
C. 6 ohms
D. 8 ohms
Question 14
A liquid of density 1000 kg/m^3 is in a container of height 0.5 m. If the pressure at the bottom of the container is 100 kPa, what is the pressure at the top of the container?
A. 50 kPa
B. 75 kPa
C. 90 kPa
D. 100 kPa
Question 15
A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a wire loop of radius 0.1 m. What is the magnitude of the magnetic moment of the loop?
A. 0.1 A m^2
B. 0.2 A m^2
C. 0.3 A m^2
D. 0.4 A m^2

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