POST UTME COAL CITY UNIVERSITY 2019 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
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. Calculate the capaci\tance of the capacitor.
Question 2
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capacitor is charged to a potential difference of 10 V, what is the capaci\tance?
Question 3
A coil of wire has an induc\tance of 0.1 H and a resis\tance of 10 ohms. If a current of 2 A is passed through the coil, what is the energy stored in the coil?
Question 4
A sound wave with a frequency of 200 Hz is produced by a source moving towards a stationary observer at a speed of 20 m/s. If the speed of sound in air is 340 m/s, calculate the apparent frequency heard by the observer.
Question 5
A wave function is given by ψ(x) = Ae^(ikx). If the wave function is normalized, what is the value of A?
Question 6
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 force acting on the particle?
Question 7
A 50 Hz AC voltage is applied across a circuit containing a resistor of 10 kΩ and an inductor of 100 mH. If the circuit is initially at rest, calculate the current flowing through the circuit after 10 ms.
Question 8
A heat engine operates between two reservoirs at temperatures 300 K and 500 K. If the engine produces 100 J of work per cycle, what is the efficiency of the engine?
Question 9
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.1 m from its equilibrium position and released from rest, what is the maximum speed of the particle?
Question 10
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 its equilibrium position.
Question 11
A wave of frequency 100 Hz and wavelength 0.1 m is propagating through a medium. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
Question 13
A 10 μF capacitor is charged to a potential difference of 10 V. If the capacitor is then connected in parallel with a 20 μF capacitor, calculate the new potential difference across the capacitors.
Question 14
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. If the particle experiences a uniform downward acceleration of 2 m/s² due to gravity, calculate the time taken for the particle to reach its maximum height.
Question 15
A resistor of 10 Ω is connected in series with a capacitor of 100 μF and an inductor of 50 mH. If the circuit is driven by an AC source of 100 V at a frequency of 50 Hz, what is the impedance of the circuit?
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.
Unlock Full Access
Available for Android & Windows