JEE MAIN - Physics (2022 - 27th July Morning Shift - No. 9)
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 $$1: 4$$.
Choose the correct answer from the options given below :
A and C only
B and D only
A and B only
C and D only
Explanation
$${v_{rms}} = \sqrt {{{3RT} \over {{M_0}}}} $$ because T is same
vrms will be same so, A is correct D is incorrect
$${{{P_1}} \over {{P_2}}} = {{{n_1}R{T_1}/{V_1}} \over {{n_2}R{T_2}/{V_2}}} = {{{n_1}} \over {{n_2}}} = {1 \over 4}$$
B is correct
C is incorrect
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