POST UTME VERITAS UNIVERSITY 2024 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 days, determine the activity after 20 days.
A. 50 Bq
B. 75 Bq
C. 100 Bq
D. 150 Bq
Question 2
A 200 W bulb is connected to a 250 V supply. If the resis\tance of the bulb is 50 Ω, what is the current flowing through it?
A. 2 A
B. 3 A
C. 4 A
D. 5 A
Question 3
A block of mass 5 kg is moving with an initial velocity of 10 m/s. If the block is subjected to a force of 20 N for 2 seconds, determine the final velocity of the block.
A. 15 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s
Question 4
A ray of light passes through a lens and is focused. If the focal length of the lens is 20 cm and the object dis\tance is 30 cm, determine the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 5
A convex lens of focal length 20cm is placed 30cm in front of a screen. If an object is placed 40cm in front of the lens, calculate the position of the image formed on the screen.
A. 60cm
B. 80cm
C. 100cm
D. 120cm
Question 6
A parallel-plate capacitor has plates of area $A$ and separation $d$. The capacitor is charged to a potential difference $V$ and then disconnected from the power source. If a dielectric material with dielectric cons\tant $\kappa$ is inserted between the plates, what is the new capaci\tance?
A. \kappa C
B. C/\kappa
C. C + \kappa C
D. C - \kappa C
Question 7
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied 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 8
A solid cylindrical rod of radius 0.05 m and length 1.5 m is made of a material with Young's modulus of 2.0 x 10^11 N/m^2. If a force of 50 N is applied \tangentially to the rod, what is the angular displacement of the rod from its original position?
A. 0.01 rad
B. 0.02 rad
C. 0.03 rad
D. 0.04 rad
Question 9
A radioactive sample has a half-life of $t_{1/2}$. If the initial activity is $A_0$, what is the activity after a time $t$?
A. A_0 \left\( \frac{1}{2}\right \)^{t/t_{1/2}}
B. A_0 + \frac{t}{t_{1/2}}
C. A_0 \left\( 1 - \frac{t}{t_{1/2}}\right \)
D. A_0 \left\( 1 + \frac{t}{t_{1/2}}\right \)
Question 10
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle?
A. L/2
B. nπL/2
C. L/4
D. nπL/4
Question 11
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a rigid surface, what is the frequency of the reflected wave?
A. f
B. 2f
C. f/2
D. f + v
Question 12
A body of mass 2 kg is moving with a velocity of 5 m/s. If it is subjected to a force of 10 N, what is its acceleration?
A. 2.5 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 20 m/s^2
Question 13
A point charge of +2μC is placed 10cm from a metal sphere of radius 5cm. If the sphere is earthed, calculate the electric potential at the surface of the sphere.
A. 100V
B. 200V
C. 300V
D. 400V
Question 14
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is its acceleration?
A. 4 m/s^2
B. 8 m/s^2
C. 12 m/s^2
D. 16 m/s^2
Question 15
A beam of light passes through a prism and is re\fracted. The angle of incidence is 30° and the angle of re\fraction is 20°. What is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°

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