Geometrical OpticsMedium
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
⇒ dA = dRᐃdA =
ᐃdR ......(i)Now,V = πR2dR
ᐃV = πR2ᐃdR
ᐃd2 =
Putting it in equation (i)
ᐃdA =
⇒ ᐃV = πR2Create a free account to view solution
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