On heating a liquid of coefficient of cubical expansion `gamma` in a container having coefficient of linear expansion `gamma//3`. The level of liquid in the container will

Options

A. rise
B. fall
C. will remain almost stationary
D. it is difficult to say

Explanation

To solve the problem, we need to analyze the effects of thermal expansion on both the liquid and the container when heated.

### Step-by-Step Solution:

1. **Understand the Coefficients of Expansion**:
- The coefficient of cubical expansion of the liquid is given as \( \gamma \).
- The coefficient of linear expansion of the container is given as \( \frac{\gamma}{3} \).

2. **Calculate the Coefficient of Cubical Expansion of the Container**:
- The coefficient of cubical expansion (\( \beta \)) is related to the coefficient of linear expansion (\( \alpha \)) by the formula:
\[ \beta = 3\alpha \]
- For the container, since its linear expansion coefficient is \( \frac{\gamma}{3} \):
\[ \text{Coefficient of cubical expansion of the container} = 3 \times \frac{\gamma}{3} = \gamma \]

3. **Compare the Coefficients of Expansion**:
- The coefficient of cubical expansion of the liquid is \( \gamma \).
- The coefficient of cubical expansion of the container is also \( \gamma \).

4. **Determine the Effect on the Liquid Level**:
- Since both the liquid and the container expand at the same rate (both have the same coefficient of cubical expansion), the change in volume of the liquid will be equal to the change in volume of the container.
- Therefore, the level of the liquid in the container will remain unchanged.

5. **Conclusion**:
- The level of the liquid in the container will be stationary.

### Final Answer:
The level of the liquid in the container will remain stationary.

---