POST UTME FUTA 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 2
A photon has a wavelength of 400 nm. What is its energy?
A. 2.48 eV
B. 3.10 eV
C. 4.00 eV
D. 5.00 eV
Question 3
A gas is contained in a cylinder of volume $V$ at a temperature $T$. The gas is heated, cau\sing the temperature to increase to $T + \Delta T$. Find the change in volume $\Delta V$ in terms of $V$ and $T$.
A. \frac{V \Delta T}{T}
B. \frac{V T \Delta T}{T}
C. \frac{V T^2 \Delta T}{T}
D. \frac{V T \Delta T^2}{T}
Question 4
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 5
A 1000 W heater is used to heat a room. If the heater operates at an efficiency of 80%, calculate the rate at which heat energy is transferred to the room.
A. 800 W
B. 1000 W
C. 1200 W
D. 1500 W
Question 6
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 7
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 8
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
Question 9
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 10
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 11
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 12
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the net force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 13
A heat engine operates between the temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.5
D. 0.67
Question 14
A 200 V AC supply is connected to a circuit containing a 50 Ω resistor and an inductor of induc\tance 0.2 H. If the frequency of the supply is 50 Hz, calculate the impedance of the circuit.
A. 60 Ω
B. 80 Ω
C. 100 Ω
D. 120 Ω
Question 15
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $x$ from the origin, what is the initial velocity?
A. \sqrt{\frac{gx^2}{2v_0^2\sin^2\theta}}
B. \sqrt{\frac{gx^2}{v_0^2\sin^2\theta}}
C. \sqrt{\frac{v_0^2\sin^2\theta}{gx^2}}
D. \sqrt{\frac{v_0^2\cos^2\theta}{gx^2}}

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