1. Tardigrade
  2. Question
  3. Physics
  4. 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

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Q. 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 $1: 4$

JEE MainJEE Main 2022Kinetic Theory

Solution:

KTG
A. $V _{ Rms }=\sqrt{\frac{3 R T }{ M _{ w }}} \Rightarrow V _{ Rms }$ is same
B. $\frac{ P _1}{ P _2}=\frac{ N _1}{ N _2} \Rightarrow B$ is correct
Ans [A & B only are correct]