Verified Solution • 2025–26 Session moderate

QJEEM22Ph8bf2: JEE Main 2022 Physics - Class 12 JEEM22Ph8bf2 Solution: The de Broglie wavelengths for an electron and a photon are e…

The de Broglie wavelengths for an electron and a photon are λ\lambda e and λ\lambda p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two ?

Multiple Choice Options

  • A λp∝λe2{\lambda _p} \propto \lambda _e^2
  • B λp∝λe{\lambda _p} \propto {\lambda _e}
  • C λp∝λe{\lambda _p} \propto \sqrt {{\lambda _e}}
  • D λp∝1λe{\lambda _p} \propto \sqrt {{1 \over {{\lambda _e}}}}

Step-by-Step Verified Solution

λp=hp=hcE{\lambda _p} = {h \over p} = {{hc} \over E} ...... (i)

λe=h2mE{\lambda _e} = {h \over {\sqrt {2mE} }} ...... (ii)

From (i) and (ii)

λp∝λe2{\lambda _p} \propto \lambda _e^2

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