POST UTME FUTA 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 3
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus?
A. \( A' = A, Z' = Z + 1 \)
B. \( A' = A + 1, Z' = Z \)
C. \( A' = A - 1, Z' = Z \)
D. \( A' = A, Z' = Z - 1 \)
Question 4
A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 5
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 magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 6
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. If the coil is connected to a battery of 12 V, what is the induced emf in the coil?
A. 0.6 V
B. 1.2 V
C. 2.4 V
D. 3.6 V
Question 7
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 236
B. 238
C. 240
D. 242
Question 8
A long solenoid has 1000 turns per meter and a current of 2 A flowing through it. Calculate the magnetic field at the center of the solenoid.
A. 0.2 T
B. 0.4 T
C. 0.6 T
D. 0.8 T
Question 9
A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 50 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.5 s
C. 1 s
D. 2 s
Question 10
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. The magnification of the lens is $M$. What is the relationship between $f$, $u$, and $M$?
A. \frac{f}{u} = M
B. \frac{f}{M} = u
C. \frac{u}{f} = M
D. \frac{f}{M} = \frac{1}{u}
Question 11
A 2 kg object is moving in a circular path with a cons\tant speed of 4 m/s. What is the magnitude of the net force acting on the object?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the frequency of the radiation emitted by the particle as it moves through the magnetic field?
A. \( f = \frac{qB}{2\pi m} \)
B. \( f = \frac{qB}{4\pi m} \)
C. \( f = \frac{qB}{6\pi m} \)
D. \( f = \frac{qB}{8\pi m} \)
Question 14
A particle of mass $m$ is in a one-dimensional box of length $L$. What is the energy of the particle in the ground state?
A. \frac{h^2}{8mL^2}
B. \frac{h^2}{4mL^2}
C. \frac{h^2}{2mL^2}
D. \frac{h^2}{mL^2}
Question 15
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 9 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?
A. 0.05 s
B. 0.1 s
C. 0.5 s
D. 1 s

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