question_answer

The plot that depicts the behavior of the mean Free time \[\tau \] (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is (Graphs are schematic and not drawn to scale) [JEE MAIN Held On 08-01-2020 Morning]

A)  

B)       

C)  

D)       

Correct Answer: C

Solution :

[b]

Relaxation time \[(\tau )\propto \frac{mean\text{ }free\text{ }path}{speed}\]

\[\therefore \tau \propto \frac{1}{V}\]

or \[\tau \propto \frac{1}{\sqrt{T}}\]

Graph between\[\tau \,\,\text{v/s}\frac{1}{\sqrt{T}}\] is a straight line,