POST UTME WELLSPRING UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion has a period of 2.0 s and an amplitude of 0.50 m. If the motion starts from its equilibrium position, what is the maximum acceleration of the particle?
A. \( a_{\text{max}} = 0.25 , \text{m/s}^2 \)
B. \( a_{\text{max}} = 0.50 , \text{m/s}^2 \)
C. \( a_{\text{max}} = 1.0 , \text{m/s}^2 \)
D. \( a_{\text{max}} = 2.0 , \text{m/s}^2 \)
Question 2
A 5 kg block 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, determine the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 3
A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed of the particle.
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 4
A particle of mass 1 kg is moving in a circular path with a radius of 0.5 m at a speed of 2 m/s. Calculate the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 5
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a cons\tant speed of 2 m/s. Determine the magnitude of the force acting on the particle.
A. 0.2 N
B. 0.4 N
C. 0.6 N
D. 0.8 N
Question 6
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting an electron of energy $E_e$ and a neutrino of energy $E_\nu$. If the initial kinetic energy of the nucleus is $T_i$, what is the final kinetic energy of the nucleus?
A. T_f = T_i + E_e + E_\nu
B. T_f = T_i - E_e - E_\nu
C. T_f = T_i + E_e - E_\nu
D. T_f = T_i - E_e + E_\nu
Question 7
A particle of mass $m$ is moving in a circular path of radius $r$ under the influence of a centripetal force $F_c$. If the particle's velocity is increased by a factor of 2, what is the new centripetal force required to maintain the circular path?
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{2mv^2}{r} \)
C. \( F_c = \frac{mv^2}{2r} \)
D. \( F_c = \frac{mv^2}{4r} \)
Question 8
A capacitor consists of two parallel plates, each of area 0.01 m² and separated by a dis\tance of 0.001 m. If the capaci\tance is 10 μF, calculate the charge stored when a potential difference of 10 V is applied across the plates.
A. 0.01 C
B. 0.02 C
C. 0.03 C
D. 0.04 C
Question 9
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 10
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2
Question 11
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the image is real and inverted, what is the magnification of the lens?
A. -\frac{f}{u}
B. \frac{f}{u}
C. -\frac{u}{f}
D. \frac{u}{f}
Question 12
A thermodynamic system undergoes a cyclic process consisting of two isochoric processes and two isobaric processes. If the volume of the system increases by 20% during the first isochoric process and decreases by 15% during the second isochoric process, what is the net change in volume of the system?
A. 5% increase
B. 10% decrease
C. 15% increase
D. 20% decrease
Question 13
A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 2.5. Determine the capaci\tance of the capacitor.
A. 1.25 x 10^-10 F
B. 2.5 x 10^-10 F
C. 3.75 x 10^-10 F
D. 5 x 10^-10 F
Question 14
A magnetic field of magnitude 0.5 T is directed perp\endicular to a plane containing a current of 2 A. If the current is increa\sing at a rate of 10 A/s, what is the induced electric field?
A. 0.1 V/m
B. 0.5 V/m
C. 1.0 V/m
D. 2.0 V/m
Question 15
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle is deflected by an angle $\theta$ from its initial direction, what is the magnitude of the magnetic field?
A. B = \frac{mv_0 \sin \theta}{q}
B. B = \frac{mv_0 \cos \theta}{q}
C. B = \frac{mv_0 \sin \theta}{2q}
D. B = \frac{mv_0 \cos \theta}{2q}

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