The effect of temperature on Maxwell's speed | vedclass

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(A) The Maxwell-Boltzmann speed distribution curve describes the distribution of speeds of molecules in a gas at a given temperature.The most probable

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(A) The Maxwell-Boltzmann speed distribution curve describes the distribution of speeds of molecules in a gas at a given temperature.The most probable speed $V_p$ is given by the formula $V_p = \sqrt{\frac{2RT}{M}}$,which implies $V_p \propto \sqrt{T}$.As the temperature $T$ increases,the most probable speed $V_p$ increases,meaning the peak of the curve shifts towards the right (higher speeds) along the $V$-axis.Additionally,since the total area under the curve (representing the total number of molecules) must remain constant,an increase in temperature causes the curve to flatten and broaden.Comparing the given options,the graph in option $A$ correctly shows that for $T_1 > T_2$,the curve for $T_1$ has its peak at a higher speed and is broader than the curve for $T_2$.

The effect of temperature on Maxwell's speed distribution is correctly shown by

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