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Q.

Assuming the nitrogen molecule is moving with r.m.s velocity at 400 K, the de-Broglie wavelength of nitrogen molecule is close to : (Given    :  nitrogen molecule weight :  4.64 × 10−26 kg,  Boltzman constant :  1.38 × 10−23J/K,   Planck constant :  6.63× 10−34J.s)

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a

0.20Å

b

0.34 Å

c

0.44Å

d

0.24Å

answer is D.

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Detailed Solution

λ=hmϑ=hm×3KTm=h3mKT=6.63×10-343×4.64×10-26×1.38×10-23×400≃0.24A0
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