A solid cube is first floating in a liquid. The coefficient of linear expansion of cube is $\alpha$ and the coefficient of volume expansion of liquid is $\gamma$. On increasing the temperature of (liquid + cube) system, the cube will sink if
A solid cube is first floating in a liquid. The coefficient of linear expansion of cube is $\alpha$ and the coefficient of volume expansion of liquid is $\gamma$. On increasing the temperature of (liquid + cube) system, the cube will sink if
- A
$\gamma=3 \alpha$
- B
$\gamma > 3 \alpha$
- C
$\gamma < 3 \alpha$
- D
$\gamma=2 \alpha$
Similar Questions
A rod of silver of $100\;cm$ is at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length is increased by $0.19 \,cm .$ Coefficient of cubical expansion of the silver rod is
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- [AIIMS 2019]
Give name of substance that contracts with increase in temperature.
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A copper rod of length $l_1$ and an iron rod of length $l_2$ are always maintained at the same common temperature $T$. If the difference $(l_2 -l_1)$ is $15\,cm$ and is independent of the value of $T,$ the $l_1$ and $l_2$ have the values (given the linear coefficient of expansion for copper and iron are $2.0 \times 10^{-6}\,C^{-1}$ and $1.0\times10^{-6}\,C^{ -1}$ respectively)
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Two rods $A$ and $B$ of identical dimensions are at temperature $30\,^oC$. If a heated upto $180\,^oC$ and $B$ upto $T\,^oC$, then the new lengths are the same. If the ratio of the coefficients of linear expansion of $A$ and $B$ is $4:3$, then the value of $T$ is........$^oC$
Two rods $A$ and $B$ of identical dimensions are at temperature $30\,^oC$. If a heated upto $180\,^oC$ and $B$ upto $T\,^oC$, then the new lengths are the same. If the ratio of the coefficients of linear expansion of $A$ and $B$ is $4:3$, then the value of $T$ is........$^oC$
- [JEE MAIN 2019]
A beaker is filled with water at $4\,^oC$. At one time the temperature is increased by few degrees above $4\,^oC$ and at another time it is decreased by a few degrees below $4\,^oC$. One shall observe that:
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