POST UTME COAL CITY UNIVERSITY 2019 Physics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A capacitor with capaci\tance 10 μF is connected in series with a resistor of 5 kΩ. If a voltage of 20 V is applied across the circuit, calculate the current flowing through the circuit.
Question 2
A gas expands from an initial volume of 0.1 m³ to a final volume of 0.5 m³ against a cons\tant external pressure of 10 kPa. If the work done by the gas is 50 J, calculate the change in internal energy of the gas.
Question 3
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 4
A circuit consists of a 10 ohm resistor, a 20 ohm resistor, and a 5 ohm resistor connected in series. If a voltage of 20 V is applied across the circuit, what is the current flowing through the 5 ohm resistor?
Question 5
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
Question 6
A magnetic field of 0.5 T is produced by a current of 2 A flowing through a wire of length 1 m. If the wire is placed in a region of uniform magnetic field, calculate the force experienced by the wire.
Question 7
A radioactive sample decays at a rate given by the equation \( N(t) = N_0 e^{-\lambda t} \), where \( N(t) \) is the number of nuclei remaining at time \( t \), \( N_0 \) is the initial number of nuclei, and \( \lambda \) is the decay cons\tant. If \( N_0 = 1000 \) and \( \lambda = 0.1 \) s⁻¹, calculate the number of nuclei remaining after 5 s.
Question 8
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 9
A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?
Question 10
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 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 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 13
A magnetic field of 0.1 T is applied to a coil of wire with an area of 0.01 m^2. If the coil has 100 turns, what is the magnetic flux through the coil?
Question 14
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?
Question 15
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?
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