Question

Three molecules of a gas have speeds 2, 3 and
4 km/s. In such case the root mean square speed
of gas molecules can be calculated as
(1) 3 km/s
(2) root6 km/s
(3) 17 km/s
(4) root29/3 km/s
Answer=(4)​

Answer 1

Answer:

the answer is explained above

Answer 2

The root mean square speed of gas molecules is $\sqrt{\dfrac{29}{3}}\ km/s$

(4) is correct option

Explanation:

Given that,

Speed of first molecule = 2 km/s

Speed of second molecule = 3 km/s

Speed of third molecule = 4 km/s

We need to calculate the root mean square speed of gas molecules

Using formula of root mean square speed

$v=\sqrt{\dfrac{v_{1}^2+v_{2}^2+v_{3}^2}{3}}$

$v=\sqrt{\dfrac{2^2+3^2+4^2}{3}}$

$v=\sqrt{\dfrac{29}{3}}\ km/s$

Hence, The root mean square speed of gas molecules is $\sqrt{\dfrac{29}{3}}\ km/s$

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Topic : root mean square speed

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