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(C) Given: Frequency of source $f = 400\,Hz$, speed of sound in still air $v = 340\,ms^{-1}$, wind speed $v_{w} = 10\,ms^{-1}$.Since there is no relat

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$400\,Hz, 350\,ms^{-1}$

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(C) Given: Frequency of source $f = 400\,Hz$, speed of sound in still air $v = 340\,ms^{-1}$, wind speed $v_{w} = 10\,ms^{-1}$.Since there is no relative motion between the source (train) and the observer, the frequency of the sound heard by the observer remains unchanged. Therefore, the observed frequency is $f' = f = 400\,Hz$.When the wind blows in the direction of the sound propagation, the effective speed of sound increases. The new speed of sound $v'$ for the observer is given by $v' = v + v_{w}$.Substituting the values, $v' = 340 + 10 = 350\,ms^{-1}$.Thus, the frequency is $400\,Hz$ and the speed of sound is $350\,ms^{-1}$.

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