POST UTME ABU 2018 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 30° above the horizontal. Calculate the maximum height reached by the projectile.
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 2
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 angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 3
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 $d$ from the origin, what is the time of flight $t$?
A. \frac{2d}{v_0\sin\theta}
B. \frac{d}{v_0\sin\theta}
C. \frac{2d}{v_0\cos\theta}
D. \frac{d}{v_0\cos\theta}
Question 4
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 $C'$?
A. 1 \mu\text{F}
B. 2 \mu\text{F}
C. 4 \mu\text{F}
D. 8 \mu\text{F}
Question 5
A magnetic field of magnitude 0.5 T is directed along the positive z-axis. A current of 2 A is flowing in a wire loop of radius 0.1 m. Calculate the torque experienced by the loop.
A. 1.57 x 10^-3 Nm
B. 1.57 x 10^-2 Nm
C. 1.57 x 10^-1 Nm
D. 1.57 Nm
Question 6
A heat engine operates between 300 K and 400 K. If the efficiency is 30%, what is the temperature of the hot reservoir?
A. 350 K
B. 400 K
C. 450 K
D. 500 K
Question 7
A gas at 300 K expands from 10^-3 m^3 to 10^-2 m^3. If the initial pressure is 10^5 Pa, what is the final pressure?
A. 1.0 x 10^4 Pa
B. 1.5 x 10^4 Pa
C. 2.0 x 10^4 Pa
D. 3.0 x 10^4 Pa
Question 8
A convex lens of focal length 0.2 m forms an image of an object 0.5 m away. What is the magnification of the image?
A. -0.2
B. -0.5
C. -1.0
D. -2.0
Question 9
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If 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 10
A ray of light passes from air into a glass slab of re\fractive index $n = 1.5$. If the angle of incidence is $\theta_i = 30^\circ$, what is the angle of re\fraction $\theta_r$?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 11
A light ray passes through a prism of angle 30° and is re\fracted at an angle of 20°. What is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the total resis\tance of the circuit.
A. 10 Ω
B. 12 Ω
C. 14 Ω
D. 16 Ω
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $R$ around a fixed point $O$. The particle experiences a centripetal force $F_c = \frac{mv^2}{R}$, where $v$ is its velocity. If the particle's velocity is doubled, what is the new centripetal force $F_c'$?
A. \frac{2mv^2}{R}
B. \frac{4mv^2}{R}
C. \frac{mv^2}{2R}
D. \frac{mv^2}{4R}
Question 14
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 30 minutes?
A. \( 100 cdot \frac{1}{2} \)
B. \( 100 cdot \frac{1}{4} \)
C. \( 100 cdot \frac{1}{8} \)
D. \( 100 cdot \frac{1}{16} \)
Question 15
A photon of energy $E = 2 \text{eV}$ is incident on a metal surface with work function $\phi = 1.5 \text{eV}$. What is the maximum kinetic energy $K_{\text{max}}$ of the photoelectron?
A. 0.5 \text{eV}
B. 1.0 \text{eV}
C. 1.5 \text{eV}
D. 2.0 \text{eV}

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