A beaker of height $H$ is made up of a material whose coefficient of linear thermal expansion is $3\alpha $ . It is filled up to the brim by a liquid whose coefficient of thermal expansion is $\alpha $. If now the beaker along with its contents is uniformly heated through a small temperature $T$ the level of liquid will reduce by (given $\alpha  << 1$) 

  • A

    $5\ \alpha \ TH$

  • B

    $3\ \alpha \ TH$

  • C

    $9\ \alpha \ TH$

  • D

    $8\ \alpha \ TH$

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