POST UTME REDEEMERS UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.33
C. 0.4
D. 0.5
Question 2
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. What is the magnitude of the centripetal force acting on it?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 3
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 4
A parallel plate capacitor with plates of area 0.1 m^2 and separation 0.01 m has a dielectric of relative permittivity 3. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.
A. 0.1 F
B. 0.2 F
C. 0.3 F
D. 0.4 F
Question 5
A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 15 V is applied across it, what is the energy stored in the capacitor?
A. 75 μJ
B. 150 μJ
C. 225 μJ
D. 300 μJ
Question 6
A quantum particle of mass 1 kg is confined to a one-dimensional box of length 1 m. If the particle is in the ground state, what is the energy of the particle?
A. 10^-34 J
B. 10^-33 J
C. 10^-32 J
D. 10^-31 J
Question 7
A magnetic field is produced by a current-carrying wire. If the current is increased from $I_1$ to $I_2$, what is the new magnetic field strength $B_{new}$?
A. \mu_0 \frac{I_1}{2\pi r}
B. \mu_0 \frac{I_2}{2\pi r}
C. \mu_0 \frac{I_1 + I_2}{2\pi r}
D. \mu_0 \frac{I_1 - I_2}{2\pi r}
Question 8
A particle of mass 2 kg is moving in a circular path with a radius of 3 m and a speed of 4 m/s. What is the centripetal force acting on the particle?
A. \( 10 , \text{N} \)
B. \( 20 , \text{N} \)
C. \( 30 , \text{N} \)
D. \( 40 , \text{N} \)
Question 9
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.5 eV
B. 2.5 eV
C. 3.5 eV
D. 4.5 eV
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is increased to $2v$, what is the new centripetal force $F_{c,new}$?
A. 4mv^2/r
B. 2mv^2/r
C. mv^2/r
D. m(2v)^2/r
Question 11
A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current through the 10 Ω resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 12
A magnetic field of 0.5 T is applied to a wire with a length of 2 m and a resis\tance of 10 Ω. What is the induced emf in the wire?
A. \( 0.1 , \text{V} \)
B. \( 0.2 , \text{V} \)
C. \( 0.3 , \text{V} \)
D. \( 0.4 , \text{V} \)
Question 13
A sound wave with a frequency of 200 Hz has a maximum displacement of 1.5 mm. What is the amplitude of the wave?
A. \( 0.75 , \text{mm} \)
B. \( 1.0 , \text{mm} \)
C. \( 1.25 , \text{mm} \)
D. \( 1.5 , \text{mm} \)
Question 14
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on each plate?
A. 20 μC
B. 20 mC
C. 2 μC
D. 2 mC
Question 15
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 force?
A. 8 N
B. 12 N
C. 16 N
D. 24 N

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