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^2n_1/n_2`B. `xpiR^2n_2//n_1`C. `2piR^2n_1//n_2`D. `piR^2x`

The apparent depth of water in cylindrical water tank of diameter `2R

1.	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^2n_1/n_2`B. `xpiR^2n_2//n_1`C. `2piR^2n_1//n_2`D. `piR^2x`
Answer» Correct Answer - B Apparent depth `h_1=(h)/(._(air)n_(liq))=(h)/(n_2//n_1)` `h=(n_2)/(n_1)h_1` `(dh)/(dt)=n_2/n_1(dh_1)/(dt)=(n_2)/(n_1)x` `(dV)/(dt)=piR^2(dh)/(dt)=(n_2/n_1)piR^2x`

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