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Question: Answered & Verified by Expert
Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wave length of nitrogen molecule is close to : (Given : nitrogen molecule weight : 4.64×1026kg, Boltzman constant : 1.38×1023J K-1, Planck constant : 6.63×1034J s)
PhysicsKinetic Theory of GasesJEE MainJEE Main 2020 (06 Sep Shift 2)
Options:
  • A 0.24A
  • B 0.20A
  • C 0.34A
  • D 0.44A
Solution:
2217 Upvotes Verified Answer
The correct answer is: 0.24A

λ=h2mk=hm×32kT=h3mkT

=6.63×10-343×4.64×10-26×1.38×10-13×400=0.24 A°

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