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How much is the de Broglie wavelength of an electron accelerated through a potential difference of 100 V?

Asked in GUJCET 2020 · Accelerated through a potential difference

Answer: (3) 0.123 nm

Step-by-step solution

Given: V = 100 V.

Idea: an electron accelerated through V has p = √2meV, so λ = h/(√2meV).

Putting in h, m and e: λ = (1.227)/(√V) nm.

λ = (1.227)/(√100) = (1.227)/(10) = 0.1227 nm

So λ ≈ 0.123 nm.

Why the other options are wrong

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