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`.

Explanation

To solve the problem, we need to relate the height of the mercury column at two different temperatures, \( H_0 \) at \( 0^\circ C \) and \( H_1 \) at \( t^\circ C \), considering the thermal expansions of both the brass scale and the mercury.

### Step-by-Step Solution:

1. **Understand the Expansion of Brass and Mercury**:
- The height \( H_0 \) is measured with a brass scale at \( 0^\circ C \).
- At a temperature \( t^\circ C \), the brass scale expands due to thermal expansion.
- The linear expansion of brass is given by:
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