Question

what is the ratio of the de broglie wavelength for electron accelerated through 200volt and 50volt

Answer 1

The ratio of the de Broglie wavelength for electron accelerated through 200volt and 50volt is 1/2.

The de Broglie wavelength of an electron accelerated in a potential V is given by, λ = 1.23/√V nm.

The de Broglie wavelength of an electron accelerated through 200volt is given by, λ₁ = 1.23/√200 nm.

The de Broglie wavelength of an electron accelerated through 50volt is given by, λ₂ = 1.23/√50 nm.

The ratio of these two wavelengths is given by, λ₁/λ₂ = √50/√200

                                                                               λ₁/λ₂ = 1/√4

Hence, the ratio of these two wavelengths is given by 1/2.

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