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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 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2021)

A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 200 m/s

Solution

The speed of a wave is given by the formula v = fλ. Here, v = 50 Hz * 2 m = 100 m/s.

Correct Answer: B — 50 m/s

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Q. A wave has a frequency of 500 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2023)

A. 250 m/s
B. 500 m/s
C. 1000 m/s
D. 2000 m/s

Solution

The speed of the wave can be calculated using the formula v = fλ. Here, v = 500 Hz * 0.5 m = 250 m/s.

Correct Answer: B — 500 m/s

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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 500 Hz and a wavelength of 0.68 m. What is the speed of the wave? (2021)

A. 340 m/s
B. 500 m/s
C. 680 m/s
D. 250 m/s

Solution

The speed of the wave can be calculated using the formula v = fλ. Thus, v = 500 Hz * 0.68 m = 340 m/s.

Correct Answer: A — 340 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 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 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 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 is rotating with an angular acceleration of 2 rad/s². If it starts from rest, what will be its angular velocity after 5 seconds? (2022)

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

Solution

Using the formula ω = ω₀ + αt, where ω₀ = 0, α = 2 rad/s², and t = 5 s, we get ω = 0 + 2*5 = 10 rad/s.

Correct Answer: B — 10 rad/s

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Q. A wheel is rotating with an angular velocity of 10 rad/s. If it accelerates at 2 rad/s², what will be its angular velocity after 5 seconds? (2023)

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

Solution

Using the formula ω = ω₀ + αt, we have ω = 10 rad/s + (2 rad/s²)(5 s) = 20 rad/s.

Correct Answer: A — 20 rad/s

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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 of radius R and mass M is rolling without slipping on a horizontal surface. If it has a linear speed v, what is its total kinetic energy? (2022)

A. (1/2)Mv²
B. (1/2)Mv² + (1/2)(Iω²)
C. (1/2)Mv² + (1/2)(Mv²)
D. (1/2)Mv² + (1/2)(Mv²/2)

Solution

The total kinetic energy is the sum of translational and rotational kinetic energy. K.E. = (1/2)Mv² + (1/2)(Iω²) where I = (1/2)MR² for a solid cylinder.

Correct Answer: B — (1/2)Mv² + (1/2)(Iω²)

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Q. A wheel of radius R is rolling without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel? (2023)

A. Rω
B. ω/R
C. ω
D. 2Rω

Solution

The linear velocity v of the center of the wheel is given by v = Rω.

Correct Answer: A — Rω

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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. A wire of length L and diameter d is stretched by a force F. If the diameter is halved while keeping the length constant, what happens to the stress in the wire? (2022)

A. It doubles
B. It quadruples
C. It remains the same
D. It halves

Solution

Stress (σ) = Force (F) / Area (A). Halving the diameter increases the area by a factor of 4, thus stress quadruples.

Correct Answer: B — It quadruples

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