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Q.

A large tank is filled with water to a heighth . A small hole is made at the base of the tank. It takes T1  time to decrease the height of water toHη(η>1) ; and it takes T2  time to take out the rest of water. If T1=T2 , then the value of η  is:

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a

2

b

3

c

4

d

22

answer is C.

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Detailed Solution

t=Aa2g[H1−H2] Now, T1=Aa2g[H−Hη]  andT2=Aa2g[Hη−0] According to problem,T1=T2 ∴  H−Hη=Hη or H=2Hη  or η=4
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A large tank is filled with water to a heighth . A small hole is made at the base of the tank. It takes T1  time to decrease the height of water toHη(η>1) ; and it takes T2  time to take out the rest of water. If T1=T2 , then the value of η  is: