POST UTME FUTO 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?
A. 7 m/s
B. 9 m/s
C. 11 m/s
D. 13 m/s
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position operator for this particle?
A. L/2
B. nπL/2
C. L/2 + nπL/2
D. nπL/2 + L/2
Question 3
A \tank contains 1000 kg of water at a temperature of 20°C. If 200 kg of water at 80°C is added to the \tank, what is the final temperature of the water in the \tank?
A. 22°C
B. 25°C
C. 28°C
D. 30°C
Question 4
A body is moving in simple harmonic motion with a frequency of 2 Hz and an amplitude of 5 m. If the body is at a displacement of 3 m, calculate the force acting on it.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?
A. 2.5 x 10^\( -3 \) C/m^2
B. 5 x 10^\( -3 \) C/m^2
C. 7.5 x 10^\( -3 \) C/m^2
D. 10 x 10^\( -3 \) C/m^2
Question 6
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates?
A. 1.6 x 10^-10 C
B. 1.6 x 10^-11 C
C. 1.6 x 10^-12 C
D. 1.6 x 10^-13 C
Question 7
A 50 Hz AC generator produces an emf of 100 V. If the generator is connected to a 100 Ω load, what is the current drawn by the load?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 8
A 2 m long string is stretched between two fixed points 1 m apart. If the string is plucked at its center, what is the frequency of the fundamental mode?
A. 10 Hz
B. 20 Hz
C. 30 Hz
D. 40 Hz
Question 9
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 10
A gas at 300 K expands from 0.05 m^3 to 0.2 m^3. What is the work done by the gas?
A. 150 J
B. 200 J
C. 250 J
D. 300 J
Question 11
A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?
A. 10°
B. 20°
C. 30°
D. 40°
Question 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. U\sing the time-indep\endent Schrödinger equation, derive an expression for the energy levels of the particle.
A. \frac{n^2\pi^2\hbar^2}{2mL^2}
B. \frac{n^2\pi^2\hbar^2}{mL^2}
C. \frac{n^2\pi^2\hbar^2}{2mL}
D. \frac{n^2\pi^2\hbar^2}{mL}
Question 13
A lens of focal length $f$ is placed in a beam of light. What is the image dis\tance $d'$?
A. \frac{fd}{f-d}
B. \frac{fd}{f+d}
C. \frac{f-d}{fd}
D. \frac{f+d}{fd}
Question 14
A block of mass $M$ is placed on a horizontal surface with a coefficient of static friction $\mu_s$. A horizontal force $F$ is applied to the block. If the block is at rest, what is the maximum value of $F$ that will cause the block to move?
A. \mu_sMg
B. \mu_sMg/2
C. \mu_sMg/3
D. \mu_sMg/4
Question 15
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. What is the equivalent resis\tance?
A. 50 Ω
B. 70 Ω
C. 100 Ω
D. 170 Ω

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