A cylindrical tank `1 m` in radius rests on a platform `5 m` high. Initially the tank is filled with water to a height of `5 m`. A plug whose area is `10 ^-4 m^2`, is removed from an orifice on the side of the tank at the bottom. Calculate the following :
(a) Initial speed with which the water flows from the orifice.
(b) Initial speed with which the water strikes the ground,
( c) Time taken to empty the tank to half its original value.

Options

A. 10
B. 5
C. `5sqrt(2)`
D. `10sqrt(2)`

Answer

D

Explanation

`v_(x)=sqrt(2gh_(1)),v_(y)=sqrt(2gh_(2)),v=sqrt(v_(x)^(2)+v_(y)^(2))`