Identify the correct labels of $\mathrm{A}, \mathrm{B}$ and C in the following graph from the options given below Root mean square speed $(\mathrm{V}_{\mathrm{rms}})$; most probable speed $(\mathrm{V}_{\mathrm{mp}})$; Average speed $(\mathrm{V}_{\mathrm{av}})$

(D) $\mathrm{A}-\mathrm{V}_{\mathrm{mp}}, \mathrm{B}-\mathrm{V}_{\mathrm{av}}, \mathrm{C}-\mathrm{V}_{\mathrm{rms}}$

(A) $\mathrm{A}-\mathrm{V}_{\mathrm{av}}, \mathrm{B}-\mathrm{V}_{\mathrm{rms}}, \mathrm{C}-\mathrm{V}_{\mathrm{mp}}$

(B) $\mathrm{A}-\mathrm{V}_{\mathrm{rms}}, \mathrm{B}-\mathrm{V}_{\mathrm{mp}}, \mathrm{C}-\mathrm{V}_{\mathrm{av}}$

(C) $\mathrm{A}-\mathrm{V}_{\mathrm{mp}}, \mathrm{B}-\mathrm{V}_{\mathrm{rms}}, \mathrm{C}-\mathrm{V}_{\mathrm{av}}$

JEE Main · 2020 · 07 Jan 2020 · Shift 2 · States of Matter

Identify the correct labels of

A, B

and C in the following graph from the options given below

Root mean square speed

(V_{rms})

; most probable speed

(V_{mp})

; Average speed

(V_{av})

(A) $A - V_{av}, B - V_{rms}, C - V_{mp}$
(B) $A - V_{rms}, B - V_{mp}, C - V_{av}$
(C) $A - V_{mp}, B - V_{rms}, C - V_{av}$
(D) $A - V_{mp}, B - V_{av}, C - V_{rms}$ ✓ Correct

Answer: (D)

Solution

For the Maxwell-Boltzmann speed distribution the ordering is

v_{m p} < v_{a v} < v_{r m s}

, with the most probable speed at the peak of the curve and the root-mean-square speed farthest to the right. Reading the graph from left to right, A sits at the peak and so is

v_{m p}

, B is the next and is

v_{a v}

, and C, the largest, is

v_{r m s}

JEE Main · 2020 · 07 Jan 2020 · Shift 2 · Single correct option

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JEE Main · 2020 · 07 Jan 2020 · Shift 2 · States of Matter

Solution

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