Properties Of Solids And Liquids Question 217

Question: 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 4h, it will flow out in time equal to[MP PMT 1997]

Options:

A)t

B)4t

C)2 t

D)t/4

Show Answer

Answer:

Correct Answer: C

Solution:

Time required to emptied the tank $ t=\frac{A}{A _{0}}\sqrt{\frac{2H}{g}} $

$ \frac{t _{2}}{t _{1}}=\sqrt{\frac{H _{2}}{H _{1}}}=\sqrt{\frac{4h}{h}}=2 $

$ \therefore \ \ t _{2}=2t $



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