A stone is dropped into a pond from the top o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $t_{1}$ be the time taken by the stone to strike the surface of the water in the pond.Using the equation of motion $h = ut + \frac{1}{2}gt^{2}

Vedclass · Accepted Answer

$\sqrt{\frac{2h}{g}} + \frac{h}{v}$

Vedclass · Answer

(A) Let $t_{1}$ be the time taken by the stone to strike the surface of the water in the pond.Using the equation of motion $h = ut + \frac{1}{2}gt^{2}$:Since the stone is dropped,initial velocity $u = 0$.Therefore,$h = \frac{1}{2}gt_{1}^{2}$.Solving for $t_{1}$,we get $t_{1} = \sqrt{\frac{2h}{g}}$.Now,the time taken by the sound of the splash to travel from the surface of the water to the top of the tower is $t_{2} = \frac{h}{v}$,where $v$ is the speed of sound.The total time $t$ after which the splash is heard is the sum of the time taken by the stone to fall and the time taken by the sound to travel back up:$t = t_{1} + t_{2} = \sqrt{\frac{2h}{g}} + \frac{h}{v}$.

$A$ stone is dropped into a pond from the top of a tower of height $h$. If $v$ is the speed of sound in air,then the sound of the splash will be heard at the top of the tower after a time:

Similar Questions

Find the speed of a body at the ground when it falls freely from a height of $2\,m$. $(g = 10\,ms^{-2})$

$A$ stone thrown upward with a speed $u$ from the top of a tower reaches the ground with a velocity $3u$. The height of the tower is (in $u^2/g$)

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at $4^{th} \, s$ after its fall and the next droplet is $34.3 \, m$. At what rate are the droplets coming from the tap? (Take $g = 9.8 \, m/s^2$)

$A$ ball projected vertically upwards with a velocity '$v$' passes through a point $P$ in its upward journey in a time of '$x$' seconds. From there,the time in which the ball again passes through the same point $P$ is

When a ball is thrown up vertically with velocity $V_o$,it reaches a maximum height of $h$. If one wishes to triple the maximum height,then the ball should be thrown with what velocity?

Vedclass Test Series

Exam Paper Generator

Online Exam Module