A candle of diameter `d` is floating on a liquid in a cylindrical container of diameter `D(D lt lt d)` as shown in figure. If is burning at the rate of `2 cm//h` then the top of the candle will :

Options

A. remain at the same height
B. fall at the rate `1 cmh^(-1)`
C. fall at the rate `2 cmh^(-1)`
D. go up at the rate of `1 cmh^(-1)`

Answer

B

Explanation

Fraction of length will remain unchanged.
`(y_(i))/(y) = " constant"=(1)/(2)` in the given question.
`therefore` If total melting rate is `2 cmh^(-1)`, then top of candle will fall at the rate of ` 1 cmh^(-1)`.