If the speed of a sound wave is 340 m/s and its frequency is 1700 HZ, then wavelength (λ) for this wave in cm will be

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Bihar STET TGT (Science) Official Paper-I (Held On: 08 Sept, 2023 Shift 1)
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  1. 2
  2. 20
  3. 200
  4. 0.2

Answer (Detailed Solution Below)

Option 2 : 20
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Detailed Solution

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The correct answer is 20.

Calculation:

The formula that relates the speed of a wave (v), its frequency (f) and its wavelength (λ) is:

v = f × λ

Where:

v is speed of the wave

f is frequency of the wave

λ wavelength

Let's rearrange the formula to solve for wavelength (λ):

\(λ = {{v} \over f}\)
Given:

v = 340 m/s

f = 1700 Hz

Substitute the values into the formula:

\(λ = {{340} \over 1700}\)

λ = 0.2 m = 20 cm

Thus, If the speed of a sound wave is 340 m/s and its frequency is 1700 HZ, then wavelength (λ) for this wave in cm will be 20.

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