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

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

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

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

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

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

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The conductivity of a superconductor is
A system performs work $\Delta W$ when an amount of heat is$\Delta Q$ added to the system, the corresponding change in the internal energy is $\Delta U$. A unique function of the initial and final states (irrespective of the mode of change) is
Pick the wrong answer in the context with rainbow
If radius of the sphere is $(5.3 \pm 0.1)\;cm$. Then percentage error in its volume will be
A body of mass $2\, kg$ is thrown up vertically with K.E. of $490$  joules. If the acceleration due to gravity is $9.8$$m/{s^2}$, then the height at which the K.E. of the body becomes half its original value is given by ............ $\mathrm{m}$
Given below are two statements
Statement - I : If 8th vernier scale division of a vernier caliper coincide with its 7th main scale division, then the least count of the vernier caliper is 0.125 mm. (MSD = 1mm)
Statement - II : Using above vernier caliper, the measurement of diameter of an object can be 0.12 mm.
A nucleus of mass $218\, amu$ in free state decays to emit an  $\alpha$- particle. Kinetic energy of the $\alpha$- particle emitted is $6.7\, MeV$. The recoil energy (in $MeV$) of the daughter nucleus is
In an experiment of find the focal length of a concave mirror a graph is drawn between the magnitudes of $u$ and $v$. The graph looks like
A body, thrown upwards with some velocity, reaches the maximum height of $20\,m$. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of..........$m$
Who evaluated the mass of electron indirectly with help of charge