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(D) The apparent frequency $f'$ heard by a stationary observer when the source approaches with velocity $v_s$ is given by the Doppler effect formula:

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$15$

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(D) The apparent frequency $f'$ heard by a stationary observer when the source approaches with velocity $v_s$ is given by the Doppler effect formula: $f' = f \left( \frac{v}{v - v_s} ight)$.Given: source frequency $f = 9500 \ Hz$,speed of sound $v = 300 \ ms^{-1}$,and maximum audible frequency $f' = 10000 \ Hz$.Substituting the values: $10000 = 9500 \left( \frac{300}{300 - v} ight)$.Simplifying the equation: $\frac{10000}{9500} = \frac{300}{300 - v} \Rightarrow \frac{20}{19} = \frac{300}{300 - v}$.Cross-multiplying: $20(300 - v) = 19 	imes 300 \Rightarrow 6000 - 20v = 5700$.$20v = 300 \Rightarrow v = 15 \ ms^{-1}$.Thus,the maximum value of $v$ is $15 \ ms^{-1}$.

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