An α particle and a carbon 12 atom has same kinetic energy K . The ratio of their de-Broglie…

An α particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths λα:λC12 is 
  1. 3:1
  2. 1:3
  3. 2:3
  4. 3:1

Solution

De-Broglie wavelength is stated as λ=hp=h2mK, where, K is kinetic energy and m is mass.

Here, Kα=KC‐12.

Now, the ratio λαλC12=12m4m=3:1

Asked in: JEE Main 2022 (27 Jun Shift 1)

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