Crystal Diffraction Experiments Can Be Performed Using X-rays Or Electron Accelerated Through Appropriate Voltage. Which Probe, An X-ray Photon Or The Electron, Has Greater Energy? Take The Wavelength Of Either Probe Equal To 1 Å, Which Is Of The Order Of Interatomic Spacing In The Crystal Lattice. Mass Of Electron is .

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Question

Crystal diffraction experiments can be performed using X-rays or electron accelerated through appropriate voltage. Which probe, an X-ray photon or the electron, has greater energy? Take the wavelength of either probe equal to 1 Å, which is of the order of interatomic spacing in the crystal lattice. Mass of electron is .

None of these

diffcult

Solution

Correct option is

The energy of an X-ray photon of wavelength is given by

Now, the kinetic of an electron of de-Broglie wavelength is given by

Substituting the values, we get

= 150.6 eV.

Thus, for the same wavelength of 1 Å, an X-ray photon has much greater energy that an electron. Therefore X-rays will penetrate to a greater depth into the crystal that the electrons.