Photoelectric EffectHard

Question

The apparent depth of water in cylindrical water tank of diameter 2R cm is reducing at the rate of x cm/minute when water is being drained out a constant rate. the amount of water drained in c.c.per minute is :(n1 = refractive index of water)

Options

A.
B.
C.
D.πR2x

Solution

if apparent deth = dA and real depth = dR
⇒ dA = dR
ᐃdA = ᐃdR         ......(i)
Now,V = πR2dR
ᐃV = πR2ᐃdR
ᐃd2 =
Putting it in equation (i)
ᐃdA = ⇒ ᐃV = πR2

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