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Standard VIII

Mathematics

Dimensional Analysis

In Doppler Ef...

Question

In Doppler Effect when the source is moving towards a observer at rest, the correct equation is:

f^{'} = f (\frac{v}{v + v_{s}})

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f^{'} = f (\frac{v}{v - v_{s}})

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f^{'} = f (\frac{v + v_{s}}{v - v_{s}})

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None of the above

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Solution

The correct option is B $f^{'} = f (\frac{v}{v - v_{s}})$
Source moving towards observer:
$f^{'} = f (\frac{v_{w a v e}}{v_{w a v e} - v_{s}})$

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When a source of sound of frequency f crosses a stationary observer with a speed $v_{s}$ (≪ speed of sound v), the apparent change in frequency $Δ$ f is given by

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v_{s} < v

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In Doppler Effect when the source is moving towards a observer at rest, the correct equation is:

The correct option is B f′=f(vv−vs)Source moving towards observer:f′=f(vwavevwave−vs)

The correct option is B $f^{'} = f (\frac{v}{v - v_{s}})$
Source moving towards observer:
$f^{'} = f (\frac{v_{w a v e}}{v_{w a v e} - v_{s}})$