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the apprent depth of water in cylinderical water tank of diameter 2R is reducing at the rate of x cm/min when is being drained out at a constant rate . the amount of water drained in cc/min is
Asked by kumarpurshotam451 | 27 Sep, 2023, 04:57: PM
answered-by-expert Expert Answer
Let, 
Refractive index of air and water be n1 and nrespectively.
Also, real and apparent depth be u and v respectively.
Now, 
n subscript 2 over n subscript 1 equals u over v
i. e. comma space v equals u cross times n subscript 1 over n subscript 2... left parenthesis 1 right parenthesis
N o w comma
V space equals space pi R squared u
o r space increment V space equals space space pi R squared increment u
S u b s t i t u t i n g space t h i s space i n space e q u a t i o n space left parenthesis 1 right parenthesis
increment v equals fraction numerator increment V over denominator space pi R squared end fraction cross times n subscript 1 over n subscript 2 equals space space x pi R squared cross times n subscript 1 over n subscript 2
Answered by Jayesh Sah | 27 Sep, 2023, 06:24: PM
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