A cylinderical tank 1 m in radius rests on a plaform 5 m high. Initially the tank is filled with upto a height of 5m a plug whose area is `10^(-4)cm^(2)` is removed from an orifice on the side of the tank at the bottom.
Calculate (a). Initial speed with which the water flows from the orifice
(b). Initial speed with which the water strikes the ground.

Answer

A, B, C, D

Explanation

(a) `v=sqrt(2gh)=sqrt(2xx10xx5)`
`=10m//s`
(b) From conservation of energy
`v'^(2)=v^(2)+2gh`
`=100+2xx10xx5=200`
`v'^(2)=14.1m//s`
(c ) `t=(2A)/(asqrt(2g))[sqrt(H)-sqrt((H)/(2))]`
`=(2xxpixx(1)^(2))/(10^(-4)sqrt(2xx10))[sqrt(5)-sqrt(2.5)]`
`=9200 s`.