Home
Class 12
PHYSICS
Drop of water fall at regular intervals ...

Drop of water fall at regular intervals from roof of a building of height (H=16 m), the first drop striking the ground at the same moment as the fifth drop falls from the roof. The distances between separate drops in air as the first drop reaches the ground are.

Text Solution

Verified by Experts

Step-i: Time taken by the first drop to touch the ground =t=`sqrt((2h)/g)`
For h=16m , `t=sqrt((2xx16)/g)=4sqrt(2/g)`
Time interval between two drops is
`t_"interval"=(1/(n-1))t=(1/4)t=sqrt(2/g)`
where n= number of drops .
Step-ii :
Distance between first and second drops
`=S_1-S_2=1/2 g t_"interval"^2[4^2-3^2]=7m`
Distance between second and third drops
`=S_2-S_3=1/2 "gt"_"interval"^2[3^2-2^2]=5m`
Distance between third and fourth drops
`=S_3-S_4=1/2 "gt"_"interval"^2[2^2-1^2]=3m`
Distance between fourth and fifth drops
`=S_4-S_5=1/2"gt"_"interval"^2[1^2-0]`=1m
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise EXERCISE -I|58 Videos

  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise EXERCISE -II|80 Videos

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos

  • MOVING CHARGES AND MAGNETISM

    AAKASH SERIES|Exercise EXERCISE-III|49 Videos

Similar Questions

Explore conceptually related problems

Drops of water fall at regular intervals from the roof of a building of height h=16m . The first drop striking the ground at the same moment as the fifth drop is ready to leave from the roof. Find the distance between the successive drops.

Drops of water fall at regular intervals from the roof of a building of height H = 5 m, the first drop strikes the ground at the same moment when the fifth drop detaches itself from the roof. Then ratio of distances as first drop reaches the ground are :

Drops of water fall from the roof of a building 9m. High at regular intervals of time, the first drop reaching the ground at the same instant fourth drop starts to fall. What are the distance of the second and third drops from the roof?

If water drops are falling at regular time intervals from ceiling of height H, then position of drop from the ceiling is (when n^(th) drop falling from the ceiling and r^(th) drop is in its way)

Water drops fall from a tap on to the floor 5.0 m below at regular intervals of time. The first drop strikes the floor when the fifth drops beings to fall. The height at which the third drop will be from ground at the instant when the first drop strikes the ground is (take g=10 m^(-2) )

Drops of water from the roof of a house 6 m high fall at regular intervals. The first drop reaches the ground at an instant of time when third drop leaves the roof. Find the height of the second drop at that instant

Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap, the instant the first drop touches the ground. How far above the ground is the second drop at that instant. (g = 10 ms^-2)

Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap, the instant the first drop touches the ground. How far above the ground is the second drop at that instant. (g = 10 ms^-2)

Water drops fall from the roof a building 20 m high at regular time intervals. If the first drop strikes the floor when the sixth drop begins to fall, the heights of the second and fourth drops from the ground at that instant are (g = 10 ms^(-2))

Water drops are falling from a tap at regular time intervals. When the fifth drop is near to fall from tap the first drop is at ground. If the tap is fixed at height H from ground then find out (i) the height of the second drop from ground (ii) distance between the second and third drop (iii) velocity of third drop