The coefficient of volume expansion of glycerine is `49 xx 10^(-5)//^(@)C`. What is the fractional change in its density (approx.) for `30^(@)C` rise in temperature?

Explanation

To solve the problem, we need to find the fractional change in the density of glycerine when its temperature rises by \(30^\circ C\). Given that the coefficient of volume expansion (\(\gamma\)) of glycerine is \(49 \times 10^{-5} \, /^\circ C\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between volume change and temperature change:**
The change in volume (\(\Delta V\)) due to a change in temperature (\(\Delta T\)) can be expressed as:
\[
\Delta V = V_0 \cdot \gamma \cdot \Delta T
...