The height of a mercury column measured with a brass scale, which is correct and equal to `H_0` at `0^@C`, is `H_1` at `t^@C`? The coefficient of linear expansion of brass is `alpha` and the coefficient of linear expansion of brass is `alpha` and the corfficient of volume expansion of mercury is `gamma`. Relate `H_0` and `H_1`.

The height of a mercury column measured with a brass scale, which is c

1.	The height of a mercury column measured with a brass scale, which is correct and equal to `H_0` at `0^@C`, is `H_1` at `t^@C`? The coefficient of linear expansion of brass is `alpha` and the coefficient of linear expansion of brass is `alpha` and the corfficient of volume expansion of mercury is `gamma`. Relate `H_0` and `H_1`.
Answer» Since the scale is correct at `0^@C` 1 cm at `0^@C` exactly 1 cm `:.` 1 cm at `t^@C` `=`exactly`(1+alphat)cm` `:. H_1cm` at `t^@C=H_1(1+alphat)cm` Since pressure is the same, namely, the atmosphere pressure. `rho_0gH_0=rho_tgH_1(1+alphat)` or `rho_1(1+gammat)H_0=H_1rho_1(1+alpha)` or `H_0 ~~ H_1(1+alpha)(1-gammat)`

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