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 $
