POST UTME ESUT 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of $T_{1/2} = 10$ years. If the initial activity is $A_0 = 100$ Bq, what is the activity after $t = 20$ years?
A. ( 25 ) Bq
B. ( 50 ) Bq
C. ( 12.5 ) Bq
D. ( 6.25 ) Bq
Question 2
A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure of the gas is 1.5 × 10^5 Pa, calculate the number of moles of the gas u\sing the ideal gas equation.
A. 0.05 mol
B. 0.1 mol
C. 0.15 mol
D. 0.2 mol
Question 3
A magnetic field of 0.5 T is applied to a coil of 100 turns and area 0.01 m^2. Calculate the torque experienced by the coil.
A. 0.05 Nm
B. 0.1 Nm
C. 0.2 Nm
D. 0.5 Nm
Question 4
A photon of energy 4 eV is incident on a metal surface with work function 2 eV. Calculate the maximum kinetic energy of the emitted electron.
A. 1 eV
B. 2 eV
C. 3 eV
D. 4 eV
Question 5
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. Calculate the speed of the sound wave.
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s
Question 6
A 10 μF capacitor is connected in series with a 100 Ω resistor. A 10 V DC source is applied across the circuit. Calculate the time cons\tant of the circuit.
A. 10^-3 s
B. 10^-2 s
C. 10^-1 s
D. 10^0 s
Question 7
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. Calculate the volume of the gas at a pressure of 2 atm and a temperature of 400 K.
A. 2 L
B. 4 L
C. 6 L
D. 8 L
Question 8
A parallel plate capacitor has plates of area 0.04 m^2 and separation 3 mm. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the plates.
A. 0.025 C
B. 0.05 C
C. 0.1 C
D. 0.2 C
Question 9
A parallel plate capacitor has a capaci\tance of $C = 10 mu F$ and is charged to a potential difference of $V = 12 V$. If the plates are then separated by a dis\tance of $d = 2 cm$, what is the new capaci\tance?
A. ( 20 mu F )
B. ( 5 mu F )
C. ( 15 mu F )
D. ( 25 mu F )
Question 10
A car is traveling at a speed of 25 m/s. If the driver applies the brakes and the car comes to a stop in 4 s, what is the magnitude of the acceleration of the car?
A. 5 m/s^2
B. 10 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 11
A magnetic field of 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.2 m. If a current of 2 A flows through the loop, what is the magnitude of the magnetic moment of the loop?
A. 0.1 A\cdot m^2
B. 0.2 A\cdot m^2
C. 0.3 A\cdot m^2
D. 0.4 A\cdot m^2
Question 12
A gas is heated from 300 K to 400 K. Calculate the change in internal energy.
A. 1000 J
B. 2000 J
C. 3000 J
D. 4000 J
Question 13
A current of 5 A flows through a resistor of 10 Ω. Calculate the power dissipated in the resistor.
A. 25 W
B. 50 W
C. 100 W
D. 200 W
Question 14
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 15
A simple harmonic motion has a maximum acceleration of 10 m/s^2 and a period of 2 s. Calculate the amplitude of the motion.
A. 0.5 m
B. 1 m
C. 2 m
D. 5 m

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
Help others prepare! Share this practice hub: