Verified Solution • 2025–26 Session moderate

QJEEM23Phfb33: JEE Main 2023 Physics - Class 12 JEEM23Phfb33 Solution: An -particle, a proton and an electron have the same kinetic…

An α\alpha -particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

Multiple Choice Options

  • A λα>λp<λe{\lambda _\alpha } > {\lambda _p} < {\lambda _e}
  • B λα>λp>λe{\lambda _\alpha } > {\lambda _p} > {\lambda _e}
  • C λα=λp=λe{\lambda _\alpha } = {\lambda _p} = {\lambda _e}
  • D λα<λp<λe{\lambda _\alpha } < {\lambda _p} < {\lambda _e}

Step-by-Step Verified Solution

λ=hmv=h2mk\lambda=\frac{h}{m v}=\frac{h}{\sqrt{2 m k}}

So, λ∝1m\lambda \propto \frac{1}{\sqrt{m}}

So, \lambda_{e}&gt;\lambda_{p}&gt;\lambda_{\alpha}

Related Learning Resources & Exam Preparation