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A body is projected vertically upwards.A...

A body is projected vertically upwards.At its highest point it explodes into two pieces of masses in the ratio of `2:3` and the lighter piece flies horizontally with a velocity of `6 ms^(-1)`.The time after which the lines joining the point of explosion to the position of particles are perpendicular to each other is

A

`sqrt((6)/(25))s`

B

`sqrt((12)/(15))s`

C

`sqrt((24)/(25))s`

D

2s

Text Solution

Verified by Experts

The correct Answer is:
C
`s=sqrt(x^(2)+y^(2)), x=u. (u)/(g), y =(u^(2))/(2g)`
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