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The area of two holes A and B are 2a and...

The area of two holes `A` and `B` are `2a` and `a`, respectively, The holes are at height `(H//3) and (2H//3)` from the surface of water. Find the correct option(s):

A

The velocity of efflux at hole `B` is `2` times the velocity of efflux at hole `A`.

B

The velocity of efflux at hole `B` is `sqrt(2)` time the velocity of efflux at hole `A`.

C

The discharge is same through both the holes.

D

The discharge through hole `A` is `sqrt(2)` time the discharge through hole `B`.

Text Solution

Verified by Experts

The correct Answer is:
B, D
`V_(A)=(2gH/3)^(1/2)`
`V_(B)=((4gH)/3)=sqrt(2)((2gH)/3)^(1/2)=sqrt(2)V_(A)`
`Q_(A)=V_(A)(2a)`
and `Q_(B)=V_(B)(a)=V_(A)sqrt(2)(a) (Q_(A))/(Q_(B))=sqrt(2)`
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