POST UTME UI 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is moving with a velocity of 10 m/s on a frictionless surface. If a force of 20 N is applied to the block in the direction of motion, what is the acceleration of the block?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A capacitor of capaci\tance 10 μF is connected in parallel with a resistor of resis\tance 20 Ω. If a voltage of 100 V is applied across the circuit, calculate the current flowing through the resistor.
A. \frac{100}{20} = 5 A
B. \frac{100}{10} = 10 A
C. \frac{100}{20} = 10 A
D. \frac{100}{10} = 5 A
Question 3
A light source is placed at a dis\tance $d$ from a convex lens of focal length $f$. If the lens is placed in a medium of re\fractive index $n_1$ and the surrounding medium has a re\fractive index $n_2$, find the location of the image formed by the lens.
A. \frac{1}{f} = \frac{1}{d} + \frac{1}{d'}
B. \frac{1}{f} = \frac{1}{d} - \frac{1}{d'}
C. \frac{1}{f} = \frac{n_2}{n_1} \frac{1}{d} + \frac{1}{d'}
D. \frac{1}{f} = \frac{n_1}{n_2} \frac{1}{d} - \frac{1}{d'}
Question 4
A gas is confined to a cylinder of volume 2 m^3 at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?
A. 1.33 m^3
B. 2.33 m^3
C. 2.67 m^3
D. 3.33 m^3
Question 5
A heat engine operates between the temperatures of 300 K and 400 K. If the efficiency of the engine is 30%, what is the maximum possible work output of the engine?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 6
A thermodynamic system undergoes a process in which its internal energy remains cons\tant. What is the work done by the system during this process?
A. Positive
B. Negative
C. Zero
D. Dep\ends on the system
Question 7
A radioactive sample has a half-life of 2 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 4 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 8
A point charge of 2 μC is placed at the center of a spherical surface of radius 0.5 m. What is the electric flux through the surface?
A. 1.1 x 10^6 Nm^2/C
B. 2.2 x 10^6 Nm^2/C
C. 3.3 x 10^6 Nm^2/C
D. 4.4 x 10^6 Nm^2/C
Question 9
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, find the equation of motion of the block.
A. m \frac{d^2x}{dt^2} = -kx
B. m \frac{dx}{dt} = -kx
C. m \frac{d^2x}{dt^2} = kx
D. m \frac{dx}{dt} = kx
Question 10
A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the pressure is increased to 3.0 atm, what is the new volume of the gas?
A. 1.5 L
B. 2.0 L
C. 2.5 L
D. 3.0 L
Question 11
A \tank contains 1000 kg of water at a pressure of 2 atm. If the temperature of the water is increased by 10°C, what is the new pressure of the water?
A. 2.2 atm
B. 2.5 atm
C. 3.0 atm
D. 3.5 atm
Question 12
A body of mass $m = 5$ kg is moving in a straight line with an initial velocity $v_i = 10$ m/s. If the body experiences a cons\tant acceleration $a = 2$ m/s^2, what is the final velocity $v_f$ after a time $t = 5$ s?
A. 20 m/s
B. 30 m/s
C. 40 m/s
D. 50 m/s
Question 13
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{r}
B. \frac{mv^2}{r}
C. \frac{4mv^2}{r}
D. \frac{mv^2}{2r}
Question 14
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. The radius of the path is 3 m. What is the magnitude of the centripetal acceleration of the particle?
A. 8 m/s^2
B. 16 m/s^2
C. 24 m/s^2
D. 32 m/s^2
Question 15
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 1 A
B. 2 A
C. 3 A
D. 4 A

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