POST UTME UNILORIN 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. If the decay is accompanied by the emission of a neutrino, what is the resulting nucleus?
A. A
B. A-1
C. A+1
D. A-2
Question 2
A gas at 300 K and 1 atm is compressed to 4 atm. If the volume of the gas is reduced by a factor of 2, what is the new temperature of the gas?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 3
A circuit consists of a resistor of resis\tance R and an inductor of induc\tance L in series. If the circuit is connected to a voltage source of voltage V, what is the phase angle between the current and the voltage?
A. 0
B. π/2
C. π/4
D. 3π/4
Question 4
A circuit consists of a $10 , \Omega$ resistor, a $20 , \Omega$ resistor, and a $5 , \Omega$ resistor connected in series. What is the total resis\tance of the circuit?
A. $35 , \Omega$
B. $40 , \Omega$
C. $45 , \Omega$
D. $50 , \Omega
Question 5
A capacitor consists of two parallel plates, each of area $A$ and separated by a dis\tance $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{2d}
C. \frac{2\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{2d^2}
Question 6
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. What is the equivalent resis\tance?
A. 100 Ω
B. 200 Ω
C. 300 Ω
D. 400 Ω
Question 7
A radioactive sample of Δₗ emits Δₗπ particles with a half-life of 3.8 days. If 75% of the sample decays in 11.4 days, what is the decay cons\tant λ?
A. 0.0183 day⁻¹²
B. 0.0185 day⁻¹²
C. 0.0187 day⁻¹²
D. 0.0189 day⁻¹²
Question 8
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 the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 9
A particle of mass m is moving in a circular path of radius r under the influence of a centripetal force F. If the particle's speed is increased by a factor of 2, what happens to the centripetal force?
A. The centripetal force increases by a factor of 4
B. The centripetal force increases by a factor of 2
C. The centripetal force remains the same
D. The centripetal force decreases by a factor of 2
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$. If the particle's angular momentum is $L = 2 \times 10^{-3} , \text{kg} cdot \text{m}^2/\text{s}$, what is the particle's speed?
A. $2 \times 10^2 , \text{m/s}$
B. $2 \times 10^3 , \text{m/s}$
C. $2 \times 10^4 , \text{m/s}$
D. $2 \times 10^5 , \text{m/s}
Question 11
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 50 Ω
B. 100 Ω
C. 150 Ω
D. 200 Ω
Question 12
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A wave has a frequency of $f = 50 , \text{Hz}$ and a wavelength of $\lambda = 2 , \text{m}$. What is the wave's speed?
A. $100 , \text{m/s}$
B. $200 , \text{m/s}$
C. $500 , \text{m/s}$
D. $1000 , \text{m/s}
Question 14
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^2}{r^2}
Question 15
A body is moving with a velocity of 5 m/s. If it is subjected to a force of 10 N, what is the change in kinetic energy?
A. 12.5 J
B. 25 J
C. 37.5 J
D. 50 J

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