A) \[n\frac{x\pi {{R}^{2}}{{n}_{1}}}{{{n}_{2}}}\]
B) \[n\frac{x\pi {{R}^{2}}{{n}_{2}}}{{{n}_{2}}}\]
C) \[n\frac{2\pi R{{n}_{1}}}{{{n}_{2}}}\]
D) \[\pi {{R}^{2}}x\]
Correct Answer: B
Solution :
[b] \[\frac{real\,depth}{apparent\,depth\,}=\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{h}{x}\] Differentiate with respect to time \[\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{dh/dt}{dx/dt}\] Change in real depth \[=\frac{{{\mu }_{2}}}{{{\mu }_{1}}}\times change\,in\] \[\frac{dh}{dt}=\frac{{{\mu }_{2}}}{{{\mu }_{1}}}cm/mim\] Amount of water drained in CC per minute \[\frac{dh}{dt}\times \pi {{R}^{2}}=x\pi {{R}^{2}}\frac{{{\mu }_{2}}}{{{\mu }_{1}}}\]You need to login to perform this action.
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