Question:
Suppose $\mathrm{A}$ and $\mathrm{B}$ in the previous problem change their positions in such a way that the line joining them becomes perpendicular to the direction of wind while maintaining the separation $x$. What will be the time lad $B$ finds between seeing and hearing the drum beating by $A$ ?
Solution:
Let $v$ be the velocity of sound along direction $A C$ so it can reach $B$ with resultant velocity $A D$
Velocity along $A B=\sqrt{V^{2}-U^{2}}$
Time= distance
speed
$\mathrm{t}=\frac{\mathrm{x}}{\sqrt{\mathrm{V}^{2}-\mathrm{U}^{2}}}$
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