SATHEE: States of Matter - Result Question 24

States of Matter - Result Question 24

####24. The ratio among most probable velocity, mean velocity and root mean square velocity is given by

[1993]

(a) $1 : 2 : 3$

(b) $1 : \sqrt{2} \cdot \sqrt{3}$

(d) $\sqrt{2} : \sqrt{8 / π} : \sqrt{3}$

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Solution:

(d) Most probable velocity $(α) = \sqrt{\frac{2 R T}{M}}$ Mean velocity $(\bar{v}) = \sqrt{\frac{8 R T}{π M}}$

Root mean square velocity $(u) = \sqrt{\frac{3 R T}{M}}$

$\begin{aligned} ∴ α : \bar{v} : u & = \sqrt{\frac{2 R T}{M}} : \sqrt{\frac{8 R T}{π M}} : \sqrt{\frac{3 R T}{M}} \\ = \sqrt{2} : \sqrt{\frac{8}{π}} : \sqrt{3} \end{aligned}$

States of Matter - Result Question 24

Solution:

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States of Matter - Result Question 24

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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