Multiple choice

A man watches a steam boat starting from a point directly in front of him on the opposite bank of river flowing at a speed of $18\ km\ hr^{-1}$. The boat has a velocity $v_{0}$ with respect to river at an angle $\theta_{0}$ with the bank. If the steam boat blows a whistle of frequency $f_{0}$, then for which of the following combinations of $v_{0}$ and $\theta_{0}$ the frequency registered by the man will be highest?

  1. $v_{0} = 10\ ms^{-1}, \theta_{0} = 30^{\circ}$
  2. $v_{0} = 10\ ms^{-1}, \theta_{0} = 40^{\circ}$
  3. $v_{0} = 10\ ms^{-1}, \theta_{0} = 60^{\circ}$
  4. Same for all the above

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C Correct answer