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A Proton and an Electron Have Same Velocity. Which One Has Greater De-broglie Wavelength and Why? - Physics

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Question

A proton and an electron have same velocity. Which one has greater de-Broglie wavelength and why?

Solution

The de-Broglie wavelength λ is given for mass and velocity of a particle as

`lambda=h/(mv)`

Now for an electron and proton velocity is given same.

Since mp me

We have inverse relations of λ and mass

So λp < λe

Thus electron would have greater wavelength than wavelength of proton accelerated with same velocity.

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2011-2012 (March) All India Set 2

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