A stationary source S generates circular outgoing waves on a lake. The wave speed is 4.0 m/s and the crest-to-crest distance is 80 cm. A boat is approaching the source at 1.0 m/s. The frequency of these waves, as observed by a person in the boat, is A. 3.2 Hz. B. 3.8Hz. C. 6.3 Hz. D. 6.7 Hz. E. 5.0 Hz.

correct option is C.

Explanation:

As the source is stationary. And the observer is moving towards the source. It leads to Doppler effect. The frequency measure by the observer will be higher as is it moving towards the source. Lets find out the value of frequency.

The formula for this case is,

where

= c/λ

λ = wavelength

by putting it in above equation,

v = c/λ ( 1+ v/c)

  =

   = 6.3 Hz.

So the correct option is C.

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