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The apparent depth of water in cylindric...

The apparent depth of water in cylindrical water tank of diameter `2R cm` is reducing at the rate of `x cm // min ` when water is being drained out at a constant rate. The amount of water drained in `c.c.` per minute is `(n_(1)=` refractive index of air, `n_(2)=` refractive index of water )

A

`(xpiR^(2)n_(1))/n_(2)`

B

`(xpiR^(2)n_(2))/n_(1)`

C

`(2piRn_(1))/n_(2)`

D

`piR^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
B

`("Real depth")/("Apparent depth")=n_(2)/n_(1)`
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