Q .     Consider a water jar of radius `R` that has water filled up to height `H` and is kept on a stand of height `h` (see figure). Through a hole of radius `r ( r< < R t)` at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is `x`. Then:

JEE 2016 Mains 9 April
A

`x= r( \ frac { H }{ H+h } ) ^{ \ frac { 1 }{ 4 } }`

B

`x=r ( \dfrac { H }{ H+h } ) ^{ 2 }`

C

`x=r ( \ frac { H }{ H+h } ) ^{ frac { 1 }{ 2 } }`

D

`x=r ( \ frac { H }{ H+h } ) `

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