POST UTME ACHIEVERS UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass 5 kg is moving with a velocity of 10 m/s. It is subject 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 2
A 5 kg block is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 1 J
B. 2 J
C. 5 J
D. 10 J
Question 3
A simple harmonic oscillator with mass $m$ and spring cons\tant $k$ is displaced from its equilibrium position by a dis\tance $x$. If the oscillator's angular frequency is $\omega$, what is the magnitude of the force acting on it?
A. kx
B. \frac{k}{x}
C. \frac{m\omega^2}{k}
D. \frac{k}{m\omega^2}
Question 4
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{r}
D. \frac{r}{m}
Question 5
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, what is the impedance of the circuit?
A. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} )
B. \( Z = \sqrt{R^2 + \( X_L + X_C \ \)^2} )
C. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} )
D. \( Z = \sqrt{R^2 + \( X_L + X_C \ \)^2} )
Question 6
A force of 10 N is applied to a particle of mass 2 kg. If the particle is moving in a circular path of radius 3 m, what is the magnitude of the centripetal acceleration?
A. 2 m/s^2
B. 3 m/s^2
C. 4 m/s^2
D. 5 m/s^2
Question 7
A parallel plate capacitor with plate area $A$ and separation $d$ is connected to a battery of emf $V$. If the dielectric cons\tant of the material between the plates is $kappa$, what is the capaci\tance of the capacitor?
A. \( C = \frac{kappa A epsilon_0}{d} \)
B. \( C = \frac{A epsilon_0}{d} \)
C. \( C = \frac{A epsilon_0}{kappa d} \)
D. \( C = \frac{kappa A epsilon_0}{kappa d} \)
Question 8
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 speed is $v$, what is the magnitude of the force acting on it?
A. \frac{mv^2}{r}
B. \frac{k}{r}
C. \frac{mv^4}{r^2}
D. \frac{mv^2}{r^2}
Question 9
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. 30°
C. 40°
D. 50°
Question 10
A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is its speed?
A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s
Question 11
A 2 kg block of wood is heated from 20°C to 80°C. If the specific heat capacity of wood is 1.5 kJ/kg°C, calculate the heat energy required to heat the block.
A. 6 kJ
B. 12 kJ
C. 18 kJ
D. 24 kJ
Question 12
A simple harmonic motion has a period of 2 s and an amplitude of 5 m. If the particle is at its maximum displacement at t = 0, what is its displacement at t = 1 s?
A. 2 m
B. 3 m
C. 4 m
D. 5 m
Question 13
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is the speed of the wave?
A. 20 m/s
B. 30 m/s
C. 40 m/s
D. 50 m/s
Question 14
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 acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 15
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 $F_c$, what is the relationship between $F_c$, $m$, $v$, and $r$?
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{mv}{r} \)
C. \( F_c = \frac{m}{v^2r} \)
D. \( F_c = \frac{v^2}{mr} \)

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