A water barrel having water up to a depth d is placed on a table of heighth . A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls on the ground at a horizontal distance R from the barrel, then the value of d is:
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a
4hR2
b
4hR2
c
R24h
d
h4R2
answer is C.
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Detailed Solution
Velocity of efflux, v=2gd Time taken for the range, R=2hg Range = velocity×time R=2gd×2hg or R2=2dg×2hg=4 dh ∴ d=R24h