Question
Download Solution PDFAn electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The wavelength of the electron due to its motion is called the de-Broglie wavelength of the electron.The bundle of light rays is called a photon.
The de-Broglie wavelength of an electron (λe) is given by:
Energy of a photon (E) = (hc)/λ
∴ The wavelength of the photon is
Where E = energy, h = Planck constant, m = mass of electron and c = speed of light
Calculation:
Given - Energy of electron and photon is same (E)
The wavelength of the electron is
The wavelength of the photon is
To find the ratio of de-Broglie wavelength divides equation 1 by 2.
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