A straight rod OABCD is strapped on to the end of a straight hose pipe H with 'A' at the nozzle of the pipe (figure). Strings are ties to the rod at B,C and D and are allowed to drop down vertically. The lengths of the strings at B, C and D to just touch the stream of water, streaming out of the hose pipe from its nozzle, are in the ratio

Options

A. `(1)/(AB):(1)/(BC):(1)/(CD)`
B. `AB^(2):AC^(2):AD^(2)`
C. `(1)/(AB^(2)):(1)/(AC^(2)):(1)/(AD^(2))`
D. `sqrt(AB): sqrt(AC:sqrt(AD)`

Explanation

Ax=vt
`l=(1)/(2)gt^(2)=(1)/(2)g((Ax)/(v))^(2)`
`l_(1):l_(2):l_(3)=AB^(2):AC^(2):AD^(2)`