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Two holes 1 and 2 are made at depths h a...

Two holes 1 and 2 are made at depths h and 16h reapectively. Both the holes are circular but radius of hole-1 is two times.

A

Initially equal volumes of liquid will flow from both the holes in unit time

B

Intially more volume of liquid will flow from hole-2 per unit time.

C

Afer some time more volume of liquid will flow from hole-1 per unit time.

D

After some time more volume of liquid will flow from hole-2 per unit time

Text Solution

Verified by Experts

The correct Answer is:
A, D
Initially
`(dV_(1))/(dt)=v_(1)a_(1)=(sqrt(2gh))(pi)(2R)^(2)` …(i)
`(dV_2)/(dt)=v_(1)a_(1)=(sqrt(2gh(16h)))(pi)(R )^(2)` …(ii)
From Eqs, (i) and (ii) we can see that
`(dV_(1))/(dt)=(dV_(2))/(dt)`
After some time `v_(1)` both will decrease, but decrease in the value of `v_(1)` is more dominating so,
`a_(1)v_(1)` or `dV_(1)/(dt), lta_(2)v_(2)` or `(dV_(2))/(dt)`.
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