An electron is first accelerated from rest through a potential difference of

PHYSICS · Single correct · A Level · Physics · Particles and radiation · Particles and radiation

Problem

An electron is first accelerated from rest through a potential difference of 100 V100\,\text{V}, acquiring a de Broglie wavelength λ1\lambda_1. It is then accelerated through an additional potential V2V_2 in the same direction so that its new wavelength becomes λ2=λ13\lambda_2 = \dfrac{\lambda_1}{3}. The value of V2V_2 is (a) 200 V200\,\text{V} (b) 800 V800\,\text{V} (c) 900 V900\,\text{V} (d) 300 V300\,\text{V}

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