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The frequency of a sound wave is 25 Hz and its wavelength is 4 m. What is the time taken by the sound wave to travel a distance of 200 m?
Question

The frequency of a sound wave is 25 Hz and its wavelength is 4 m. What is the time taken by the sound wave to travel a distance of 200 m?

A.

5 s

B.

4 s

C.

1 s

D.

2 s

Correct option is D

The correct Ans is (d) 2 s

Explanation:

Step 1: Calculate the speed of the sound wave
The speed of a sound wave is calculated using the formula:
Speed (v) = Frequency (f) × Wavelength (λ)
Here,
Frequency (f) = 25 Hz
Wavelength (λ) = 4 m
So, Speed (v) = 25 × 4 = 100 m/s

Step 2: Calculate the time taken
The time taken (t) to travel a given distance is calculated as:
Time (t) = Distance (d) ÷ Speed (v)
Here,
Distance (d) = 200 m
Speed (v) = 100 m/s
So, Time (t) = 200 ÷ 100 = 2 seconds

Correct Answer: (d) 2 s

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