CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The root mean square speed of gas molecules is C$$_{rms}$$. The root mean square speed in a specific direction will be :



A
Crms
loader
B
Crms3
loader
C
Crms3
loader
D
3Crms
loader

Solution

The correct option is C $$\dfrac{C_{rms}}{\sqrt{3}}$$
$$C_{rms} = \sqrt{\bar{C^2}}$$
$$\bar{C^2} = \bar{u^2} + \bar{v^2} + \bar{w^2}$$
$$u^2=v^2=w^2$$
$$ \therefore \bar{C^2} = 3\bar{u^2}$$
$$ \Rightarrow \bar{u^2} =\dfrac{1}{3}\bar{C^2}$$
$$\therefore u_{rms} = \sqrt{\bar{u^2}}=\sqrt{\dfrac{1}{3}\bar{C^2}}=\dfrac{1}{\sqrt{3}}C_{rms}$$

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image