POST UTME IGBINEDION UNIVERSITY 2020 Physics | Objective

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Question 1 View Details
A radioactive sample emits \alpha, \beta, and \gamma radiation. If the half-life of the sample is 5 days, and the initial activity is 1000 Bq, what is the activity after 10 days?
Correct A. 500 Bq
B. 1000 Bq
C. 1500 Bq
D. 2000 Bq

Correct Answer: A

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Question 2 View Details
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
Correct C. 2 m/s^2
D. 4 m/s^2

Correct Answer: C

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Question 3 View Details
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. What is the energy stored in the capacitor?
A. 25 μJ
B. 50 μJ
Correct C. 100 μJ
D. 200 μJ

Correct Answer: C

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Question 4 View Details
A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm from the lens. What is the magnification of the lens?
A. -1
Correct B. -0.5
C. 0.5
D. 1

Correct Answer: B

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Question 5 View Details
A thermodynamic system undergoes a process from an initial state of 100 kPa and 300 K to a final state of 200 kPa and 400 K. What is the change in entropy of the system?
A. 0.5 kJ/K
Correct B. 1 kJ/K
C. 2 kJ/K
D. 5 kJ/K

Correct Answer: B

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Question 6 View Details
A point charge of 2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at the point (0.5 m, 0). What is the magnitude of the electric field at the point (0.25 m, 0)?
Correct A. \( 2.5 \times 10^5 \) N/C
B. \( 1.25 \times 10^5 \) N/C
C. \( 5.0 \times 10^4 \) N/C
D. \( 1.0 \times 10^4 \) N/C

Correct Answer: A

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Question 7 View Details
A light ray is incident on a glass slab at an angle of 60°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
Correct A. 30°
B. 40°
C. 50°
D. 60°

Correct Answer: A

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Question 8 View Details
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. ( 250 ) J
Correct B. ( 500 ) J
C. ( 750 ) J
D. ( 1000 ) J

Correct Answer: B

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Question 9 View Details
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is its speed?
A. ( 10 ) m/s
B. ( 20 ) m/s
Correct C. ( 30 ) m/s
D. ( 40 ) m/s

Correct Answer: C

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Question 10 View Details
A light source is placed 2 m away from a convex lens of focal length 0.5 m. What is the image dis\tance?
A. ( 1.0 ) m
Correct B. ( 1.5 ) m
C. ( 2.0 ) m
D. ( 2.5 ) m

Correct Answer: B

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Question 11 View Details
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 uniform magnetic field of 2 T, what is the magnitude of the magnetic force acting on the particle?
A. 4 N
Correct B. 8 N
C. 12 N
D. 16 N

Correct Answer: B

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Question 12 View Details
A gas is contained in a cylinder of volume 0.05 m^3 at a pressure of 2 atm. If the temperature is increased by 10°C, what is the new pressure of the gas?
A. 2.5 atm
B. 3 atm
Correct C. 3.5 atm
D. 4 atm

Correct Answer: C

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Question 13 View Details
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
Correct C. 6 m/s
D. 8 m/s

Correct Answer: C

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Question 14 View Details
A beam of light is incident on a glass plate at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 15 View Details
A hydrogen atom is in its ground state. If the electron is excited to the n = 4 energy level, what is the wavelength of the photon emitted when the electron returns to the ground state?
A. 100 nm
B. 200 nm
Correct C. 300 nm
D. 400 nm

Correct Answer: C

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Question 16 View Details
A beam of light is incident on a glass slab at an angle of 60°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction u\sing Snell's law.
A. 30°
Correct B. 45°
C. 60°
D. 75°

Correct Answer: B

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Question 17 View Details
A force of 20 N is applied to a spring, cau\sing it to stretch by 5 cm. If the spring cons\tant is 100 N/m, calculate the work done in stretching the spring.
A. 1 J
B. 2 J
Correct C. 5 J
D. 10 J

Correct Answer: C

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Question 18 View Details
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across it, calculate the charge stored on the plates.
A. 0.05 C
Correct B. 0.1 C
C. 0.5 C
D. 1 C

Correct Answer: B

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Question 19 View Details
A photon has an energy of 2 eV. If it is incident on a metal surface with a work function of 1 eV, calculate the maximum kinetic energy of the emitted electron.
A. 0.5 eV
B. 1 eV
Correct C. 1.5 eV
D. 2 eV

Correct Answer: C

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Question 20 View Details
A wave has a frequency of 100 Hz and a wavelength of 2 m. If it is traveling in a medium with a speed of 300 m/s, calculate the wave number.
A. 100 rad/m
B. 150 rad/m
Correct C. 200 rad/m
D. 250 rad/m

Correct Answer: C

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Question 21 View Details
A 2.5 m long wire is made of a material with a resistivity of 1.8 × 10^\( -8 \) Ωm. What is the resis\tance of the wire?
A. 0.45 Ω
B. 0.9 Ω
Correct C. 1.8 Ω
D. 4.5 Ω

Correct Answer: C

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Question 22 View Details
A capacitor has a capaci\tance of 2.5 μF. It is connected in series with a 10 kΩ resistor. What is the time cons\tant of the circuit?
A. 0.25 s
Correct B. 0.5 s
C. 1 s
D. 2 s

Correct Answer: B

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Question 23 View Details
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the wave?
A. 300 m/s
B. 600 m/s
Correct C. 1200 m/s
D. 2400 m/s

Correct Answer: C

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Question 24 View Details
A magnetic field has a strength of 0.5 T. What is the force on a 2 A current-carrying wire 0.2 m long?
A. 0.1 N
B. 0.2 N
Correct C. 0.5 N
D. 1 N

Correct Answer: C

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Question 25 View Details
A capacitor has a capaci\tance of 5 μF. It is connected in parallel with a 10 kΩ resistor. What is the equivalent capaci\tance of the circuit?
A. 5 μF
Correct B. 10 μF
C. 20 μF
D. 50 μF

Correct Answer: B

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