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Q.

If λ0 stands for mid-wavelength in the visible region, the de Broglie wavelength for 100 V electrons is nearest to

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a

λ0/5

b

λ0/50

c

λ0/500

d

λ0/5000

answer is D.

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Detailed Solution

Order of magnitude calculation is enough.λ=hp=h2meeV1/2=6.6×10−34Js2×9×10−31×100×1.6×10−191/2≈10−10m  Mid-wavelength in visible region isλ0≈5000×10−10m Thus, λ=λ0/5000
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If λ0 stands for mid-wavelength in the visible region, the de Broglie wavelength for 100 V electrons is nearest to