A proton, a neutron, an electron and an α -particle have same energy. If λ p , λ n , λ e…

A proton, a neutron, an electron and an α-particle have same energy. If λp,λn,λe and λα are the de Broglie's wavelengths of proton, neutron, electron and α particle respectively, then choose the correct relation from the following 
  1. λp=λn>λe>λα
  2. λa<λn<λp<λe
  3. λe<λp=λn>λα
  4. λe=λp=λn=λα.

Solution

The de-Broglie wavelength λ = h2m(K.E.)

where, h and K.E. are constant

λ1m

m= Mass of the particle

Thus, with increasing mass of particle de-Broglie wavelength decreases.

Order of mass me<mp<mn<mα

Order of de-Broglie wavelength is λa<λn<λp<λe

Asked in: JEE Main 2022 (25 Jun Shift 2)

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