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N molecules each of mass m of a gas  A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2. Then ω2/v2 [1991]
  • a)
    2
  • b)
    1
  • c)
    1/3
  • d)
    2/3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
N molecules each of mass m of a gas A and 2N molecules each of mass 2m...
Mean kinetic energy of the two types of molecules should be equal. The mean square velocity of A type molecules = ω2 + ω2 + ω2 = 3ω2
Therefore,
This gives ω2 / v2 = 2/3
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Most Upvoted Answer
N molecules each of mass m of a gas A and 2N molecules each of mass 2m...
U2.

We can use the equation for mean square velocity:

= 3kT/m

Where k is the Boltzmann constant and T is the temperature. For gas A, we have N molecules each of mass m, so:

= 3kT/m

For gas B, we have 2N molecules each of mass 2m, so:

= 3kT/(2m)

We can rearrange this equation to solve for m:

m = 3kT/(2)

Substituting this expression for m into the equation for gas A, we get:

= 3kT/(3kT/(2))

= 2/3

Therefore, the mean square rectangular component of the velocity of gas A is 2/3 times the mean square velocity of gas B.
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Community Answer
N molecules each of mass m of a gas A and 2N molecules each of mass 2m...
DDD
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N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2. Then ω2/v2 [1991]a)2b)1c)1/3d)2/3Correct answer is option 'D'. Can you explain this answer?
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N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2. Then ω2/v2 [1991]a)2b)1c)1/3d)2/3Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2. Then ω2/v2 [1991]a)2b)1c)1/3d)2/3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2. Then ω2/v2 [1991]a)2b)1c)1/3d)2/3Correct answer is option 'D'. Can you explain this answer?.
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