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 first drop reaches the ground are :

Options

A. `1 : 5 : 7 : 3`
B. `1 : 3 : 5 : 7`
C. `1 : 3 : 7 : 5`
D. `1 : 2 : 3 : 4`

Answer

B

Explanation

`t = 0 rarr 5`
time `implies sqrt((2xx5)/(10))implies1 sec`

Distance travelled by ball.
`(5)rarr0`
`(4) rarr1//2g(1//4)^(2)`
`(3)-1//2g(1//2)^(2)`
`(4)-1//2g(3//4)^(2)`