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STD 11 - 14. waves and sound — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 14. waves and sound4 Marks
Question
A firecracker exploding on the surface of a lake is heard as two sounds a time interval $t$ apart by a man on a boat close to water surface. Sound travels with a speed $u$ in water and a speed $v$ in air. The distance from the exploding firecracker to the boat is
✓

Answer

$\mathrm{d}=\mathrm{ut}_{0}$

$\Rightarrow \mathrm{d}=\mathrm{v}\left(\mathrm{t}_{0}+\mathrm{t}\right)$

$\Rightarrow(v-u) t_{0}+v t=0$

$t_{0}=\frac{v t}{u-v}$

$d=\frac{u v t}{u-v}$

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