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PhysicsModern PhysicsDe Broglie & Matter WavesMedium2 minPYQ_2020

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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 : $4 .64 \times 10^{- 26} kg$ , Boltzman constant : $1 .38 \times 10^{- 23} J K^{- 1}$ , Planck constant : $6 .63 \times 10^{- 34} J s$ )

Options:

Answer:

Solution:

$λ = \frac{h}{\sqrt{2 mk}} = \frac{h}{\sqrt{m \times \frac{3}{2} kT}} = \frac{h}{\sqrt{3 mkT}}$

$= \frac{6.63 \times 10^{- 34}}{\sqrt{3 \times 4.64 \times 10^{- 26} \times 1.38 \times 10^{- 13} \times 400}} = 0.24 \overset{°}{A}$

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:De Broglie & Matter Waves

⏱ 2mℹ️ Source: PYQ_2020

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