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Q.

A water fountain on the ground sprinkeles water all around it. It the speed of water coming out of the fountain is ‘v’ the total area around the fountain that gets wet is.

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a

$\frac{π v^{2}}{g}$

b

$\frac{π v^{4}}{g^{2}}$

c

$\frac{v^{4}}{g^{2}}$

d

$\frac{π v^{2}}{g^{2}}$

answer is B.

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Detailed Solution

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Total area around the fountain gets wet is equal to maximum range of sprinkeles water

$R_{\max} = \frac{v^{2}}{g}$

$A r e a = π {(R_{\max})}^{2} = π \frac{v^{4}}{g^{2}}$

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A water fountain on the ground sprinkeles water all around it. It the speed of water coming out of the fountain is ‘v’ the total area around the fountain that gets wet is.