JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Application +4 | -1

A large tank is filled with water to a height

H

. A small hole is made at the base of the tank. It takes

{T_1}

time to decrease the height of water to

\frac{H}{\eta }\left( {\eta > 1} \right):

and it takes

{T_2}

time to take out the rest of water. If

{T_1} = {T_2}

, then the value of

\eta

View answer and explanation

Correct option: C

Option C (4) is correct because the time to drain the tank is proportional to the square root of the height. Setting the times equal and solving for η yields η = 4.

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