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
The maximum horizontal distance from the vessel comes from hole numbers `3` and `4`. Now `v=sqrt(2gh)` where `h` is the height of the hole from the top.
Horizontal distance
`x=vt=sqrt(2gh)sqrt((2(H-h))/g)=2sqrt(h(H-h))`