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A tank is filled up to a height 2H with ...

A tank is filled up to a height `2H` with a liquid and is placed on a platform of height `H` from the ground, the distance x from the ground where a small hole is punched to get the maximum range R is
.

A

H

B

` 1.25 H`

C

`1.5 H `

D

`2 H `

Text Solution

Verified by Experts

The correct Answer is:
C
As ` x = (1)/(2) gt ^2 ` or ` t = sqrt((2x )/(g)) ` and Velocity of efflux ` (v) = sqrt(2g(3H- x)) `
Hence, ` R = vt = 2sqrt(x (3H - x)) rArr ` For R to be max, ` x = (3H)/(2) `
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