A mercury in glass thermometer has a stem of internal diameter 0.06 cm and contains 43 g of mercury. The mercury thread expands by 10 cm when the temperature changes from `0^@C` to `50^@C`. Find the coefficient of cubical expansion of mercury. Relative density of mercury `=13.6` and `alpha_("glass")=9xx10^(-6)//K`.

Explanation

To find the coefficient of cubical expansion of mercury, we can follow these steps:

### Step 1: Calculate the increase in volume of mercury
The increase in volume (ΔV) can be calculated using the formula for the volume of a cylinder:
\[ \Delta V = A \cdot h \]
where \( A \) is the cross-sectional area of the stem and \( h \) is the height the mercury expands.
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