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Water drops are falling from a nozzle of...

Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the position of second drop from the floor when the first drop strikes the floor.

A

`2.45 m `

B

`7.35`m

C

`2.94`m

D

`4.18`m

Text Solution

Verified by Experts

The correct Answer is:
B

`H = 1/2"gt"^(2)`
`(9.8 xx2)/(9.8)=t^(2)`
`t=sqrt(2)`sec
`Deltat` : time interval between drops
`h = 1/2g(sqrt(2)-Deltat)^(2)`
`0 = 1/2 g(sqrt(2)-2Deltat)^(2)`
`Deltat=1/(sqrt(2))`
`h=1//2g(sqrt(2)-1/(sqrt(2)))^(2)=1/2xx9.8 xx1/2 =(9.8)/4=2.45 m `
`H - h =9.8 -2.45 =7.35` m .
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