Kinetic Theory Of Gases Question 21
Question: Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (in km/sec) is
Options:
A) $ \sqrt{54/4} $
B) $ \sqrt{54/2} $
C) 3.5
D) $ 3\sqrt{3} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ v _{rms}={{[ \frac{{{( 2 )}^{2}}+{{( 3 )}^{2}}+{{( 4 )}^{2}}+{{( 5 )}^{2}}}{4} ]}^{1/2}} $
$ =\sqrt{[ \frac{54}{4} ]} $