TS EAMCET · Physics · Kinetic Theory of Gases
The root mean square (rms) velocity of an ideal gas at temperature \(T\) is \(v\). If the temperature is increased to \(4 T\), the rms velocity of the gas is
- A \(\sqrt{3} \mathrm{v}\)
- B \(\sqrt{2} \mathrm{~V}\)
- C \(2 \mathrm{~V}\)
- D \(3 \mathrm{~V}\)
Answer & Solution
Correct Answer
(C) \(2 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
Root mean square velocity of a gas at temperature \(T\) is \[ v_{\mathrm{mms}}=\sqrt{\frac{3 R T}{M}} \] So, \(\quad v_{\text {rms }} \propto \sqrt{T}\) When temperature is \(4 T\),…
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