Question:
If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is
If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is
Updated On: Jul 18, 2024
- $1: 1: 1$
- $1: 1: 1.224$
- $1: 1.128: 1.224$
- $1: 1.128: 1$
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The Correct Option is B
Solution and Explanation
In a symmetrical graph, the average value of speed corresponds to the midpoint, which is also the most probable speed.
However, when calculating the root mean square (rms) speed, we compute the average of the squares of the speeds and then take the square root. Since higher speeds contribute more to the squared value, the result will be higher than the average speed value.
So the Correct Option is (B): $1: 1: 1.224$
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Concepts Used:
Kinetics Equations
It is branch of physics that defines motion with respect to space and time is known as kinematics.
Inverse Kinematics: Inverse Kinematics do the reverse of kinematics.
There are four basic kinematics equations:
Rotational Kinematics Equations
Another branch of kinematics equations which deals with the rotational motion of anybody.
