# There is a hole of area A at the bottom of cylindrical vessel. Water is filled up to a height h and water flows out in t second. If water is filled to a height 16h, it will flow out in time equal to Option 1) t Option 2) 4t Option 3) 2t Option 4) t/2

As we discussed in concept

Torricelli's Theorem / Velocity of Efflux -

In fluid dynamics relating the speed of fluid flowing out of an orifice.

- wherein

Water flow out in t sec when water filled up to a height h.

$\therefore$ if water is filled to a height 16, water will flow out in

$\\t=\frac{A}{A_o}\:\sqrt{\frac{2H}{g}}\:\\\:\frac{t_{2}}{t_{1}}=\sqrt{\frac{16h}{h}}=4\:\:\:\Rightarrow t_{2}=4t$

Option 1)

t

This option is incorrect.

Option 2)

4t

This option is correct.

Option 3)

2t

This option is incorrect.

Option 4)

t/2

This option is incorrect.

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