The frequency of a sound wave is 200 Hz and its wavelength is 2 m. What is the speed of the sound wave?

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RRB JE Previous Paper 17 (Held On: 27 May 2019 Shift 3)
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  1. 400 m/s
  2. 200 m/s
  3. 80 m/s
  4. 100 m/s

Answer (Detailed Solution Below)

Option 1 : 400 m/s
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CONCEPT:

  • Wavelength (λ): The space or length between two successive crests or troughs of a wave is called the wavelength.

F2 J.K 19.5.20 Pallavi D3

  • Frequency (f): It is the number of occurrences of a repeating event per unit of time. Its SI unit is Hertz (Hz).
  • Velocity (v): Velocity is defined as the rate of change of displacement of a body with respect to time. The SI unit is meter per second (ms-1).

The speed can be calculated using the formula: 

speed (v) = wavelength (λ) x frequency (f).

EXPLANATION:

Given that: 

Wavelength (λ) = 2 m

Frequency (f) = 200 Hz

Speed (v) = f × λ 

 ⇒ v = 200 x 2

 ⇒ v = 400 m/s. Hence option 1 is correct.

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