The root mean square velocity of molecules of gas is
- Inversely proportional to square root of temperature $\left(\sqrt{\frac{1}{T}}\right)$
- Proportional to square root of temperature $(\sqrt{T})$
- Proportional to square of temperature $\left(T^2\right)$
- Proportional to temperature (T)
The Correct Option is B
Solution and Explanation
2. From the formula, \(v_{\text{rms}} \propto \sqrt{T}\).
Thus, the root mean square velocity is proportional to the square root of temperature. The root mean square velocity depends on the square root of the temperature, as higher temperatures lead to higher molecular speeds.
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
