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Physics

Time taken to hear the echo if distance between the listener and the obstacle d is given by :

  1. t = d x V

  2. t = 2d x V

  3. t = V2d\dfrac{V}{2d}

  4. t = 2dV\dfrac{2d}{V}

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Answer

t = 2dV\dfrac{2d}{V}

Reason — For an echo to be heard, sound must travel from the listener to the obstacle and then back to the listener, covering a total distance of 2d2d. If VV is the speed of sound, then the time taken tt is:

t=Total DistanceSpeed=2dVt = \dfrac{\text{Total Distance}}{\text{Speed}} = \dfrac{2d}{V}

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