Question

A cylindrical vessel of `90 cm` height is kept filled up to the brim. It has four holes `1,2, 3` and `4` which are, respectively, at heights of `20 cm, 30 cm, 40 cm` and `50 cm` from the horizontal floor `PQ`. The water falling at the maximum horizontal distance from the vessel comes from

A. hole number `4`
B. hole number `3`
C. hole number `2`
D. hole number `1`

Answer 1

Correct Answer - A::B::D
`x = 2 sqrt(H(H - h))`
`x_(1) = 2 sqrt(70 xx 20)`
`x_(2) = 2 sqrt(60 xx 30)`
`x_(3) = 2 sqrt(40 xx 50)`
`x_(4) = 2 sqrt(50 xx 40)` or `x_(3) = x_(4) =` maximum