A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D >>

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9-1.Fluid Mechanics

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A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D (D >> d)$ as shown in figure. If it is burning at the rate of $2\, cm/hour$ then the top of the candle will

A

remain at the same height

B

fall at the rate of $1\, cm/hour$

C

fall at the rate of $2\, cm/hour$

D

go up at the rate of $1\, cm/hour$

Solution

The candle floats on the water with half its length above and below water level. Let its length be $10\, cm$. with $5\, cm$. below the surface and $5\, cm$. above it. If its length is reduced to $8\, cm$. It will have $4\, cm$. above water surface. So we see tip going down by $1\, cm$. So rate of fall of tip $= 1\, cm/hour$.

Standard 11

Physics

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