Water drops are falling from a nozzle of a sh | vedclass

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

Question

(D) Let the time interval between consecutive drops be $\Delta t$. When the first drop reaches the floor,the total time elapsed is $T = \sqrt{\frac{2H

Vedclass · Accepted Answer

$7.35$

Vedclass · Answer

(D) Let the time interval between consecutive drops be $\Delta t$. When the first drop reaches the floor,the total time elapsed is $T = \sqrt{\frac{2H}{g}} = \sqrt{\frac{2 	imes 9.8}{9.8}} = \sqrt{2}\, s$. Since the third drop is just starting to fall at this instant,the time elapsed for the third drop is $0$. The second drop has been falling for a time of $\Delta t$,and the first drop has been falling for a time of $2\Delta t$. Thus,$2\Delta t = T = \sqrt{2}\, s$,which gives $\Delta t = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}}\, s$. The distance fallen by the second drop from the nozzle is $y_2 = \frac{1}{2} g(\Delta t)^2 = \frac{1}{2} 	imes 9.8 	imes (\frac{1}{\sqrt{2}})^2 = 4.9 	imes 0.5 = 2.45\, m$. The position of the second drop from the floor is $H - y_2 = 9.8 - 2.45 = 7.35\, m$.

Similar Questions

From the top of a $64\, ft$ high tower,a stone is thrown upwards vertically with the velocity of $48\, ft/s$. The greatest height (in $ft$) attained by the stone,assuming the value of the gravitational acceleration $g = 32\, ft/s^2$,is

$A$ ball of mass $m$ is thrown vertically upwards. Assume the force of air resistance has magnitude proportional to the velocity,and direction opposite to the velocity. At the highest point,the ball's acceleration is

$A$ ball is thrown vertically upwards from the ground $G$ with a speed $u$. It reaches a point $B$ at a height $h$ (lower than the maximum height) after time $t_1$. It returns to the ground after time $t_2$ from the instant it was at $B$ during the upward journey. Then $t_1t_2$ is equal to

$A$ body,thrown upwards with some velocity,reaches a maximum height of $20\,m$. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of..........$m$.

$A$ body is thrown vertically upwards with a velocity $u$. Find the true statement from the following:

Vedclass Test Series

Exam Paper Generator

Online Exam Module