JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is \(1: 4\), then \(A.\) The \(r.m.s\). velocity of gas molecules in two vessels will be the same. \(B.\) The ratio of pressure in these vessels will be \(1: 4\) \(C.\) The ratio of pressure will be \(1: 1\) \(D.\) The \(r.m.s.\) velocity of gas molecules in two vessels will be in the ratio of \(1: 4\)
- A \(A\) and \(C\) only
- B \(B\) and \(D\) only
- C \(A\) and \(B\) only
- D \(C\) and \(D\) only
Answer & Solution
Correct Answer
(C) \(A\) and \(B\) only
Step-by-step Solution
Detailed explanation
\(KTG\) A. \(V_{R m s}=\sqrt{\frac{3 R T}{M_{m}}} \Rightarrow V_{R m s}\) is same B. \(\frac{ P _{1}}{ P _{2}}=\frac{ N _{1}}{ N _{2}} \Rightarrow B\) is correct Ans \([A \& B\) only are correct]
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