POST UTME ELIZADE UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s^2, what is the time of flight?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 2
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. If an object is placed 30 cm in front of the convex lens, what is the image dis\tance for the combined lens system?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 3
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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its path?
A. 30°
B. 45°
C. 60°
D. 90°
Question 4
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. Find the charge stored when the potential difference between the plates is 10 V.
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 5
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The projectile's trajectory is given by $x(t) = v_0 \cos \theta t$ and $y(t) = v_0 \sin \theta t - \frac{1}{2} g t^2$. What is the time of flight of the projectile?
A. \frac{v_0}{g}
B. \frac{2v_0}{g}
C. \frac{2v_0 \sin \theta}{g}
D. \frac{2v_0 \cos \theta}{g}
Question 6
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, find the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A 10 Ω resistor is connected in series with a 20 Ω resistor. What is the equivalent resis\tance?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 8
A nucleus of mass number 20 has a binding energy of 120 MeV. Calculate the binding energy per nucleon.
A. 6 MeV
B. 8 MeV
C. 10 MeV
D. 12 MeV
Question 9
A parallel plate capacitor has a capaci\tance of $C = 2\,\mu\text{F}$ and is charged to a potential difference of $V = 10\,\text{V}$. If the dis\tance between the plates is doubled, what is the new capaci\tance $C_{new}$?
A. 4\,\mu\text{F}
B. 2\,\mu\text{F}
C. 1\,\mu\text{F}
D. 0.5\,\mu\text{F}
Question 10
A gas of $N$ non-interacting particles is confined to a volume $V$. The average kinetic energy of the particles is given by $\frac{3}{2} k_B T$. If the temperature of the gas is increased by a factor of 2, what is the new average kinetic energy?
A. \frac{3}{2} k_B T
B. 3 k_B T
C. \frac{9}{2} k_B T
D. 6 k_B T
Question 11
A vector A has a magnitude of 5 units and makes an angle of 30° with the x-axis. Calculate the x and y components of the vector.
A. 3 units, 4 units
B. 4 units, 3 units
C. 5 units, 5 units
D. 6 units, 6 units
Question 12
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 13
A gas at a pressure of 2 atm and temperature of 300 K is allowed to expand to a volume of 10 L. What is the final pressure of the gas?
A. 0.2 atm
B. 0.5 atm
C. 1 atm
D. 2 atm
Question 14
A circuit consists of a resistor $R = 10\,\Omega$, an inductor $L = 5\,\text{H}$, and a capacitor $C = 2\,\mu\text{F}$ connected in series. If the circuit is driven by a voltage source with a frequency of $f = 50\,\text{Hz}$, what is the impedance $Z$ of the circuit?
A. 15\,\Omega
B. 20\,\Omega
C. 25\,\Omega
D. 30\,\Omega
Question 15
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?
A. 2.5 x 10^-7 C
B. 2.5 x 10^-8 C
C. 2.5 x 10^-9 C
D. 2.5 x 10^-10 C

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