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Standard XII

Physics

Streamline Flow

A tank with b...

Question

A tank with base $L^{2}$ is filled with a liquid to height H. Then tank is accelerated horizontally with acceleration as shown. If a small hole is made at point A, then it is observed that the liquid does not come out of the tank. The value of a is

\frac{H g}{L}

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\frac{L g}{H}

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g

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\frac{2 g H}{L}

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Solution

The correct option is D $\frac{2 g H}{L}$
$t a n θ = \frac{a}{g} = \frac{h}{L} H L^{2} = \frac{h L^{2}}{2} h = 2 H a = \frac{h g}{L}$

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A tank with base L2 is filled with a liquid to height H. Then tank is accelerated horizontally with acceleration as shown. If a small hole is made at point A, then it is observed that the liquid does not come out of the tank. The value of a is

The correct option is D 2gHLtanθ=ag=hLHL2=hL22h=2Ha=hgL

A tank with base $L^{2}$ is filled with a liquid to height H. Then tank is accelerated horizontally with acceleration as shown. If a small hole is made at point A, then it is observed that the liquid does not come out of the tank. The value of a is

The correct option is D $\frac{2 g H}{L}$
$t a n θ = \frac{a}{g} = \frac{h}{L} H L^{2} = \frac{h L^{2}}{2} h = 2 H a = \frac{h g}{L}$