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 of `1 cmh^(-1)`
C. fall at the rate of `2 cmh^(-1)`
D. go up at the rate of `1 cmh^(-1)`

Answer

B

Explanation

Weight of candle = weight of liquid displaced
`Vrhog =V^(1)rho^(1)g`
`(P)/(rho)=(L-x)/(2(L-1))`