POST UTME FUTA 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. What is the mass number of the resulting nucleus?
A. 234
B. 235
C. 236
D. 237
Question 2
A vector $\vec{a}$ has a magnitude of $5$ units and makes an angle of $30^\circ$ with the positive $x$-axis. What is the $y$-component of the vector?
A. 2.5
B. 3.5
C. 4.5
D. 5.5
Question 3
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the initial temperature is 300 K, find the work done by the gas.
A. 5 J
B. 10 J
C. 15 J
D. 20 J
Question 4
A body of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the centripetal force acting on the body?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{rv^2}
D. \frac{r}{mv^2}
Question 5
A heat engine operates between two reservoirs at temperatures $T_1 = 500 K$ and $T_2 = 300 K$. The engine has an efficiency of $40%$. What is the temperature of the hot reservoir?
A. 600 K
B. 650 K
C. 700 K
D. 750 K
Question 6
A block of mass 3 kg is attached to a horizontal spring with a force cons\tant of 10 N/m. If the block is displaced by 2 m from its equilibrium position, find the potential energy stored in the spring.
A. 20 J
B. 30 J
C. 40 J
D. 50 J
Question 7
A 100 W light bulb is connected to a 12 V battery. Calculate the current flowing through the bulb.
A. 0.008 A
B. 0.016 A
C. 0.024 A
D. 0.032 A
Question 8
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is the angular frequency of the resulting simple harmonic motion?
A. 5 rad/s
B. 10 rad/s
C. 15 rad/s
D. 20 rad/s
Question 9
A block of mass 5 kg is placed on a horizontal surface. If the coefficient of static friction is 0.5, find the maximum force that can be applied to the block without cau\sing it to move.
A. 2.5 N
B. 5 N
C. 10 N
D. 15 N
Question 10
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. Find the focal length of the combination.
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 11
A radioactive sample of Δₗ decays into Δₘ with a half-life of 5.27 years. If the initial activity of the sample is 2.00 mCi, what is the activity of the sample after 10.5 years?
A. 0.500 mCi
B. 1.00 mCi
C. 1.50 mCi
D. 2.00 mCi
Question 12
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 13
A projectile is launched from the ground with an initial velocity of 20.0 m/s at an angle of 60.0° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10.0 m
B. 15.0 m
C. 20.0 m
D. 25.0 m
Question 14
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, find the final pressure.
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 15
A 2.00 mF capacitor is connected in series with a 3.00 kΩ resistor and a 120 V AC source. If the frequency of the source is 60.0 Hz, what is the impedance of the circuit?
A. 1.50 kΩ
B. 2.00 kΩ
C. 2.50 kΩ
D. 3.00 kΩ

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