Sound WavesMediumBloom L3
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
Options
A.$\frac{uvt}{u + v}$
B.$\frac{t(u + v)}{uv}$
C.$\frac{t(u - v)}{uv}$
D.$\frac{uvt}{u - v}$
Solution
Sol. t1 : time taken by sound to travel in water
t2 : time taken by sound to travel in air.
t1 = $\frac{d}{u}$
t2 = $\frac{d}{v}$
t2 – t1 = t (given)
$\frac{d}{v} - \frac{d}{u} = t$
$d\left\lbrack \frac{u - v}{uv} \right\rbrack = t$
$d = \frac{uvt}{u - v}$
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to ha...A body is walking away from a wall towards an observer at a speed of 1 m/s and blows a whistle whose frequency is 680 Hz...Which of the figures, shows the pressure difference from regular atmospheric pressure for an organ pipe of length L clos...Two source of sound s1 and s2 emitting sound of frequency 324 Hz and 320 Hz are situated at certain distance apart. An o...If the air column in a pipe which is closed at one end, is in resonance with a vibrating tuning fork at a frequency 260 ...