POST UTME MOUNTAIN TOP UNIVERSITY 2018 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
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. Calculate the magnitude of the net force acting on the particle.
Question 3
A wave has a frequency of 50 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
Question 4
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle experiences a cons\tant acceleration of 2 m/s^2, calculate the time taken for the particle to reach a velocity of 10 m/s.
Question 5
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
Question 6
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. An object is placed 30 cm in front of the convex lens. Calculate the image dis\tance and magnification of the final image formed by the combination of the two lenses.
Question 7
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of α?
Question 8
A 2 kg block is attached to a horizontal, massless spring with a force 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?
Question 9
A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 mH inductor. If the circuit is driven by a 10 V, 50 Hz AC source, what is the impedance of the circuit?
Question 10
A coil of wire has a resis\tance of 10 Ω and an induc\tance of 5.0 H. If the coil is connected to a 20 V AC source with a frequency of 50 Hz, what is the impedance of the coil?
Question 11
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
Question 12
A photon of wavelength 400 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, calculate the maximum kinetic energy of the emitted electron.
Question 13
A quantum particle is confined to a one-dimensional box of length 1m. What is the energy of the particle in the ground state?
Question 14
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.0 eV, what is the maximum kinetic energy of the emitted electron?
Question 15
A charged particle of mass 2.0 kg and charge 3.0 μC is moving in a circular path of radius 0.5 m in a uniform magnetic field of strength 2.0 T. What is the angular frequency of the particle?
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