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 2cmhour then the top of the candle will :
A
remain at the same height
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B
fall at the rate of 1cm/hour
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C
fall at the rate of 2cm/hour
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D
go up at the rate of 1cm/hour
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Solution
The correct option is B fall at the rate of 1cm/hour The candle floats on the water with half its length above and below water level. Let its length be 10cm with 5cm , below the surface and 5cm above it. If its length is reduced to 8cm . It will have 4cm above water surface. So we see tip going down by \1cm . So rate of fall of tip 1cmhour−1