POST UTME RHEMA UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass slab 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 2
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10 μF, what is the charge stored on the capacitor when a potential difference of 5 V is applied?
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 3
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is given by $Z = \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}$. If the frequency is doubled, what is the new impedance?
A. 2Z
B. Z/2
C. Z
D. 4Z
Question 4
A 5.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2.0 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 2.0 m/s
B. 4.0 m/s
C. 6.0 m/s
D. 8.0 m/s
Question 5
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity is $A_0$, what is the activity after $t$ seconds?
A. A_0 \left\( \frac{1}{2} \right \)^{t/T_{1/2}}
B. A_0 \left\( \frac{1}{2} \right \)^{T_{1/2}/t}
C. A_0 \left\( \frac{1}{2} \right \)^{t/T_{1/2}} + A_0
D. A_0 \left\( \frac{1}{2} \right \)^{t/T_{1/2}} - A_0
Question 6
A capacitor of capaci\tance $C$ is connected to a battery of voltage $V$. Find the charge $Q$ stored on the capacitor.
A. CV
B. \frac{CV}{2}
C. \frac{V}{C}
D. \frac{2CV}{3}
Question 7
A particle of mass 2kg is moving in a circular path with a radius of 3m. If the particle has a speed of 4m/s, what is the magnitude of the centripetal force acting on the particle?
A. 8N
B. 12N
C. 16N
D. 20N
Question 8
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
A. 6 μF
B. 7 μF
C. 8 μF
D. 9 μF
Question 9
A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the specific heat capacity of water is 4186 J/(kg°C), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 10
A simple harmonic motion has a frequency of $f$ and an amplitude of $A$. If the time period is doubled, what is the new amplitude?
A. A/2
B. A
C. 2A
D. A \left\( \frac{1}{2} \right \)^{1/2}
Question 11
A beam of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 12
A circuit consists of a resistor, an inductor, and a capacitor connected in series. If the resis\tance is 10Ω, the induc\tance is 5H, and the capaci\tance is 0.1F, what is the impedance of the circuit at a frequency of 50Hz?
A. 20Ω
B. 30Ω
C. 40Ω
D. 50Ω
Question 13
A 5 mH inductor is connected in series with a 10 Ω resistor and a 120 V AC source. If the frequency of the AC source is 60 Hz, what is the inductive reac\tance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 14
A radioactive sample of Uranium-238 has a half-life of 4.5 billion years. If the initial mass of the sample is 100g, how much of the sample will remain after 9 billion years?
A. 25g
B. 50g
C. 75g
D. 0g
Question 15
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity of the sample after 4 hours?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq

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