A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D\left( {D > > d} \right)$ as shown in figure. If it is burning at the rate of $2\ cm/hour$ then the top of the candle will
A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D\left( {D > > d} \right)$ 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 the rate of $1$ $cm/hour$
Similar Questions
The height of water in a tank is $H$. The range of the liquid emerging out from a hole in the wall of the tank at a depth $\frac {3H}{4}$ form the upper surface of water, will be
The height of water in a tank is $H$. The range of the liquid emerging out from a hole in the wall of the tank at a depth $\frac {3H}{4}$ form the upper surface of water, will be
A sphere of mass $M$ and radius $R$ is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to
A sphere of mass $M$ and radius $R$ is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to
A square hole of side length $l$ is made at a depth of $h$ and a circular hole of radius $r$ is made at a depth of $4\,h$ from the surface of water in a water tank kept on a horizontal surface. If $l << h,\,r << h$ and the rate of water flow from the holes is the same, then $r$ is equal to
A square hole of side length $l$ is made at a depth of $h$ and a circular hole of radius $r$ is made at a depth of $4\,h$ from the surface of water in a water tank kept on a horizontal surface. If $l << h,\,r << h$ and the rate of water flow from the holes is the same, then $r$ is equal to
Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point $1$ , the water at point $2$
Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point $1$ , the water at point $2$
A homogeneous solid cylinder of length $L(L < H/2)$, cross-sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $P_0$. Then, density $D$ of solid is given by
A homogeneous solid cylinder of length $L(L < H/2)$, cross-sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $P_0$. Then, density $D$ of solid is given by