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PhysicsModern PhysicsDe Broglie & Matter WavesEasy2 minPYQ_2021

PhysicsEasystatement

A particle of mass $9.1 \times 10^{- 31} kg$ travels in a medium with a speed of $10^{6} m s^{- 1}$ and a photon of radiation of linear momentum $10^{- 27} kg m s^{- 1}$ travels in a vacuum. The wavelength of the photon is ____ times the wavelength of the particle.

Answer:

910

Solution:

For photon $λ_{1} = \frac{h}{P} = \frac{6.6 \times 10^{- 34}}{10^{- 27}}$
For particle $λ_{2} = \frac{h}{m v} = \frac{6.6 \times 10^{- 34}}{9.1 \times 10^{- 31} \times 10^{6}}$
$∴ \frac{λ_{1}}{λ_{2}} = 910$

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

⏱ 2mℹ️ Source: PYQ_2021

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