Question

The graph of viscosity coefficient ( $$\eta$$ ) and absolute temperature ( $$T$$ ) is:

A. Straight line passing through origin
B. Straight line parallel to temperature axis
C. Straight line with positive slope
D. Exponential graph

✨ Free AI Tools for You

Powered by Chatterbot AI

Answer

To determine the correct graph representing the relationship between the viscosity coefficient ($$\eta$$) and absolute temperature ($$T$$), let's first understand some key concepts.

Viscosity and Its Coefficient

Viscosity is a measure of a fluid's resistance to flow. For example, honey has higher viscosity compared to water. When considering the layers of a liquid in motion, friction between these layers resists flow, which is characterized by viscosity.

Relationship between Viscosity and Temperature

The viscosity coefficient ($$\eta$$) is a measure of this resistance. Importantly, the viscosity coefficient is inversely proportional to the absolute temperature ($$T$$):

$$ \eta \propto \frac{1}{T} $$

When the temperature increases, the intermolecular attractions within the fluid decrease, leading to a decrease in viscosity.

Graph Explanation

Given that $$\eta$$ and $$T$$ have an inverse relationship, the graph of $$\eta$$ versus $$T$$ will not be linear. Instead, it will show an exponential decay as temperature increases.

Conclusion

Therefore, the graph of the viscosity coefficient ($$\eta$$) versus absolute temperature ($$T$$) is an exponential graph.

Answer: D. Exponential graph

Here’s the correct option highlighted:

Correct Answer: D. Exponential graph


Was this helpful?

India's 1st AI Doubt Solver for CBSE, JEE, and NEET

Ask a Question for Free

and then it's just ₹212 a month