POST UTME FUTA 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a force of 20 N for 2 seconds, what is its final velocity?
A. 12 m/s
B. 14 m/s
C. 16 m/s
D. 18 m/s
Question 2
A radioactive sample of uranium-238 decays into thorium-234 with a half-life of 4.5 x 10^9 years. If the initial activity of the sample is 10^6 Bq, find the activity of the sample after 10^9 years.
A. A = 10^3 Bq
B. A = 10^4 Bq
C. A = 10^5 Bq
D. A = 10^6 Bq
Question 3
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V power source. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Find the kinetic energy of the particle.
A. K = \frac{1}{2}m\left\( \frac{v^2}{r} \right \)
B. K = \frac{1}{2}m\left\( \frac{v}{r} \right \)
C. K = \frac{1}{2}m\left\( \frac{r}{v} \right \)
D. K = \frac{1}{2}m\left\( \frac{v}{r^2} \right \)
Question 5
A gas at a pressure of 100 kPa and temperature of 300 K is contained in a cylinder of volume 0.1 m^3. If the gas is heated to a temperature of 400 K, determine the final volume of the gas.
A. 0.2 m^3
B. 0.3 m^3
C. 0.4 m^3
D. 0.5 m^3
Question 6
A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the Uranium-238 sample is 238 u, what is the mass of the resulting Radium-234 sample?
A. 234 u
B. 238 u
C. 242 u
D. 244 u
Question 7
A convex lens of focal length 20 cm forms an image of an object placed 30 cm in front of it. Calculate the magnification of the image.
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 8
A 100 g sample of water is heated from 20°C to 80°C. What is the change in entropy?
A. 0.2 J/K
B. 0.4 J/K
C. 0.6 J/K
D. 0.8 J/K
Question 9
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2
Question 10
A uniform solid sphere of radius 0.05 m and mass 0.5 kg is partially submerged in a liquid of density 1000 kg/m^3. If the sphere is displaced by a dis\tance of 0.01 m from its equilibrium position, determine the magnitude of the buoyant force acting on the sphere.
A. 0.05 N
B. 0.1 N
C. 0.15 N
D. 0.2 N
Question 11
A block of mass 5 kg is placed on a horizontal surface. If the coefficient of static friction between the block and the surface is 0.5, what is 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. 25 N
Question 12
A uniform magnetic field of 2 T is applied to a coil of wire with 100 turns and a radius of 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the maximum value of the induced emf?
A. 0.785 V
B. 1.57 V
C. 3.14 V
D. 6.28 V
Question 13
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 14
A radioactive sample decays at a rate of 0.05% per hour. If the initial mass of the sample is 100 g, what is the mass of the sample after 5 hours?
A. 90.25 g
B. 91.25 g
C. 92.25 g
D. 93.25 g
Question 15
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the magnitude of the force acting on the particle?
A. 6 N
B. 12 N
C. 24 N
D. 48 N

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