POST UTME PAN-ATLANTIC UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
A wave has a frequency of 100 Hz and a wavelength of 1 m. What is the speed of the wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 3
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 4
A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N(t)$ is the number of nuclei remaining at time $t$, $N_0$ is the initial number of nuclei, and $\lambda$ is the decay cons\tant. If the half-life of the sample is 10 years, what is the decay cons\tant?
A. \\lambda = \\frac{\\ln 2}{10}
B. \lambda = \frac{1}{10}
C. \\lambda = \\frac{10}{\\ln 2}
D. \\lambda = \\frac{\\ln 2}{100}
Question 5
A wave with a frequency of 50 Hz and a wavelength of 2 m is traveling through a medium. What is the speed of the wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 6
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. Calculate the volume of the gas at a pressure of 2 atm and a temperature of 400 K.
A. 1.5 L
B. 1.6 L
C. 1.7 L
D. 1.8 L
Question 7
A solid cylindrical block of wood with a radius of 0.1 m and a height of 0.2 m is floating in a \tank of water. If the density of the wood is 500 kg/m³ and the density of water is 1000 kg/m³, what is the volume of the block that is submerged in the water?
A. 0.02 m³
B. 0.04 m³
C. 0.06 m³
D. 0.08 m³
Question 8
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. 25°
C. 30°
D. 35°
Question 9
A particle moves in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, calculate 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 10
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. What is the magnitude of the force acting on the particle?
A. 12 N
B. 15 N
C. 18 N
D. 20 N
Question 11
A block of wood with a mass of 5 kg is floating in a \tank of water. If the density of the wood is 0.8 g/cm³, what is the volume of the wood block?
A. 0.5 m³
B. 0.6 m³
C. 0.7 m³
D. 0.8 m³
Question 12
A sound wave with a frequency of 200 Hz has a speed of 343 m/s. Calculate the wavelength of the sound wave.
A. 1.71 m
B. 1.72 m
C. 1.73 m
D. 1.74 m
Question 13
A \sinusoidal voltage source with a peak value of 100 V and a frequency of 50 Hz is connected to a circuit containing a resistor and an inductor in series. The induc\tance of the inductor is 0.1 H. Calculate the impedance of the circuit at resonance.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 14
A 100 V, 50 Hz AC source is connected to a 10 Ω resistor. What is the rms current in the circuit?
A. I_{rms} = \frac{100}{10}
B. I_{rms} = \frac{50}{10}
C. I_{rms} = \\frac{100\\sqrt{2}}{10}
D. I_{rms} = \\frac{50\\sqrt{2}}{10}
Question 15
A heat engine operates between two reservoirs at temperatures 300 K and 400 K. What is its efficiency?
A. 0.25
B. 0.30
C. 0.35
D. 0.40

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