Physics Study Resources for Competitive Exams

Physics

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Q. A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound in air (speed of sound = 340 m/s)? (2021)

A. 0.77 m
B. 0.85 m
C. 0.90 m
D. 1.00 m

Solution

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 440 Hz ≈ 0.77 m.

Correct Answer: A — 0.77 m

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Q. A tuning fork vibrates at a frequency of 440 Hz. What is the time period of the fork? (2020)

A. 0.00227 s
B. 0.0045 s
C. 0.01 s
D. 0.005 s

Solution

Time period T = 1/f = 1/440 Hz ≈ 0.00227 s.

Correct Answer: A — 0.00227 s

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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed just before it hits the ground? (2019)

A. √(3g/L)
B. √(2g/L)
C. √(g/L)
D. √(4g/L)

Solution

Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).

Correct Answer: B — √(2g/L)

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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed when it reaches the vertical position? (2019)

A. √(3g/L)
B. √(2g/L)
C. √(g/L)
D. √(4g/L)

Solution

Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).

Correct Answer: B — √(2g/L)

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Q. A vehicle travels 100 m in 5 seconds. What is its average speed?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Average speed = total distance / total time = 100 m / 5 s = 20 m/s.

Correct Answer: A — 10 m/s

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Q. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)

A. 80 km
B. 100 km
C. 120 km
D. 140 km

Solution

Distance = speed * time = 60 km/h * 2 h = 120 km.

Correct Answer: C — 120 km

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Q. A wave has a frequency of 10 Hz and a wavelength of 2 m. What is its speed? (2023)

A. 5 m/s
B. 10 m/s
C. 20 m/s
D. 15 m/s

Solution

The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.

Correct Answer: C — 20 m/s

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Q. A wave has a frequency of 10 Hz and a wavelength of 5 m. What is its speed? (2020)

A. 50 m/s
B. 10 m/s
C. 2 m/s
D. 5 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.

Correct Answer: A — 50 m/s

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Q. A wave has a frequency of 50 Hz and a speed of 340 m/s. What is its wavelength? (2021)

A. 6.8 m
B. 7.0 m
C. 7.5 m
D. 8.0 m

Solution

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 50 Hz = 6.8 m.

Correct Answer: A — 6.8 m

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Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)

A. 300 m/s
B. 500 m/s
C. 600 m/s
D. 400 m/s

Solution

Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.

Correct Answer: A — 300 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 1.5 m. What is its speed? (2022)

A. 90 m/s
B. 60 m/s
C. 40 m/s
D. 30 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 60 Hz × 1.5 m = 90 m/s.

Correct Answer: A — 90 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is its speed? (2016)

A. 180 m/s
B. 120 m/s
C. 60 m/s
D. 90 m/s

Solution

Speed v = f × λ = 60 Hz × 3 m = 180 m/s.

Correct Answer: A — 180 m/s

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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is the speed of the wave?

A. 180 m/s
B. 120 m/s
C. 60 m/s
D. 30 m/s

Solution

The speed v of a wave is given by v = fλ. Thus, v = 60 * 3 = 180 m/s.

Correct Answer: B — 120 m/s

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Q. A wave has a speed of 300 m/s and a frequency of 150 Hz. What is its wavelength? (2022)

A. 1 m
B. 2 m
C. 3 m
D. 4 m

Solution

Wavelength λ can be calculated using the formula λ = v/f. Therefore, λ = 300 m/s / 150 Hz = 2 m.

Correct Answer: B — 2 m

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Q. A wave has a wavelength of 0.5 m and a frequency of 300 Hz. What is its speed? (2020)

A. 150 m/s
B. 300 m/s
C. 600 m/s
D. 1200 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 300 Hz × 0.5 m = 150 m/s.

Correct Answer: A — 150 m/s

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Q. A wave on a string has a frequency of 10 Hz and a wavelength of 2 m. What is the speed of the wave? (2022)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Wave speed v is given by v = fλ. Thus, v = 10 Hz * 2 m = 20 m/s.

Correct Answer: B — 10 m/s

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Q. A wave on a string has a frequency of 60 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2021)

A. 30 m/s
B. 60 m/s
C. 120 m/s
D. 15 m/s

Solution

Speed (v) = Frequency (f) × Wavelength (λ) = 60 Hz × 0.5 m = 30 m/s.

Correct Answer: C — 120 m/s

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Q. A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)

A. 25 Hz
B. 50 Hz
C. 100 Hz
D. 75 Hz

Solution

Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.

Correct Answer: A — 25 Hz

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Q. A wave on a string is described by the equation y(x, t) = 0.05 sin(2π(0.1x - 5t)). What is the amplitude of the wave?

A. 0.01 m
B. 0.05 m
C. 0.1 m
D. 0.2 m

Solution

The amplitude of the wave is the coefficient in front of the sine function. Here, the amplitude is 0.05 m.

Correct Answer: B — 0.05 m

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Q. A wave pulse travels along a string and reflects off a fixed end. What happens to the wave upon reflection? (2021)

A. It inverts
B. It remains unchanged
C. It doubles in amplitude
D. It disappears

Solution

When a wave pulse reflects off a fixed end, it inverts due to the boundary condition at the fixed end.

Correct Answer: A — It inverts

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Q. A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)

A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 75 m/s

Solution

Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.

Correct Answer: C — 100 m/s

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Q. A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)

A. 4 m
B. 2 m
C. 3 m
D. 1 m

Solution

Wavelength λ = v/f = 300 m/s / 75 Hz = 4 m.

Correct Answer: A — 4 m

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Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 5 m. What is its frequency? (2021)

A. 100 Hz
B. 50 Hz
C. 200 Hz
D. 250 Hz

Solution

Frequency (f) = speed (v) / wavelength (λ) = 500 m/s / 5 m = 100 Hz.

Correct Answer: A — 100 Hz

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Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)

A. 250 Hz
B. 500 Hz
C. 1000 Hz
D. 2000 Hz

Solution

Using the wave equation v = fλ, we can find frequency f = v/λ = 500 m/s / 2 m = 250 Hz.

Correct Answer: A — 250 Hz

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Q. A wave travels with a speed of 300 m/s and has a frequency of 150 Hz. What is the wavelength? (2020)

A. 2 m
B. 1.5 m
C. 3 m
D. 0.5 m

Solution

Wavelength (λ) = Speed (v) / Frequency (f) = 300 m/s / 150 Hz = 2 m.

Correct Answer: A — 2 m

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Q. A wave travels with a speed of 340 m/s and has a frequency of 170 Hz. What is its wavelength? (2022)

A. 2.0 m
B. 1.0 m
C. 0.5 m
D. 3.0 m

Solution

Wavelength λ = v/f = 340 m/s / 170 Hz = 2.0 m.

Correct Answer: A — 2.0 m

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Q. A wheel of radius 0.5 m is rotating with an angular speed of 10 rad/s. What is the linear speed of a point on the edge of the wheel? (2022)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Linear speed v = rω = 0.5 m * 10 rad/s = 5 m/s.

Correct Answer: B — 10 m/s

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Q. A wheel rotates with a constant angular acceleration α. If its initial angular velocity is ω₀, what is its angular velocity after time t? (2023)

A. ω₀ + αt
B. ω₀ - αt
C. αt²
D. ω₀t

Solution

Using the equation of motion for rotation, ω = ω₀ + αt.

Correct Answer: A — ω₀ + αt

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Q. According to Faraday's law of electromagnetic induction, the induced EMF in a circuit is proportional to the rate of change of which of the following? (2020)

A. Magnetic field strength
B. Magnetic flux
C. Electric field strength
D. Current

Solution

Faraday's law states that the induced EMF in a circuit is directly proportional to the rate of change of magnetic flux through the circuit.

Correct Answer: B — Magnetic flux

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Q. According to Faraday's law of electromagnetic induction, the induced EMF in a circuit is directly proportional to the rate of change of which of the following? (2020)

A. Magnetic field strength
B. Magnetic flux
C. Electric current
D. Resistance

Solution

Faraday's law states that the induced EMF is proportional to the rate of change of magnetic flux through the circuit.

Correct Answer: B — Magnetic flux

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Physics

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