The weight of sphere in air is $50\ g$. Its weight $40\  g$ in a liquid, at temperature $20\,^o C$. When  temperature increases to $70\,^o C$ , it weight becomes $45\  g$, then the ratio of densities of liquid at given two temperature is

  • A

    $2 : 1$

  • B

    $3 : 1$

  • C

    $4 : 1$

  • D

    $1 : 1$

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The loss in weight of a solid when immersed in a liquid at $0^o C$ is $W_0$ and at $t^o C$ is $W$. If cubical coefficient of expansion of the solid and the liquid by $\gamma_s$ and $\gamma_l$ respectively, then $W$ is equal to :