An α particle and a proton are accelerated from rest by a potential difference of 200   V . After…

An α particle and a proton are accelerated from rest by a potential difference of 200 V. After this, their de Broglie wavelengths are λα and λp respectively. The ratio λpλα is :
  1. 8
  2. 3.8
  3. 2.8
  4. 7.8

Solution

λ=hp=h2mqV

λpλα=mαqαmpqp=4mp×2emp×e=8=22=22

λpλα=2×1.4=2.8

Asked in: JEE Main 2021 (25 Feb Shift 1)

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