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The wavelength lambda of a photon and th...

The wavelength `lambda` of a photon and the de-Broglie wavelength of an electron have the same value. Show that the energy of the photon is `(2 lambda mc)/h` times the kinetic energy of the electron, Where m,c and h have their usual meanings.

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To solve the problem, we need to show that the energy of a photon \( E_p \) is \( \frac{2 \lambda mc}{h} \) times the kinetic energy \( K \) of an electron, given that both the photon and the electron have the same wavelength \( \lambda \). ### Step-by-Step Solution: 1. **Energy of the Photon**: The energy of a photon is given by the formula: \[ E_p = \frac{hc}{\lambda} ...
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PRADEEP-DUAL NATURE OF RADIATION AND MATTER-Exercise
  1. The wavelength lambda of a photon and the de-Broglie wavelength of an ...

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  2. The photoelectric effect can be explained on the basis of

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  3. Which of the following has minimum stopping potential?

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  4. When radiation is incident on a photoelectron emitter, the potential i...

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  5. Two photons, each of energy 2.5 eV are simultaneously incident on the ...

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  6. The maximum velocity of an electron emitted by light of wavelength lam...

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  7. The photoelectric work function for a metal surface is 4.125 eV. The c...

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  8. The slope of frequency of incident light and stopping potential for a ...

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  9. Threshold wavelength for a metal having work function w(0) is lambda. ...

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  10. The work function for metals A , B and C are respectively 1.92 eV , 2....

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  11. The wavelength of the matter wave is independent of

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  12. If E(1), E(2), E(3), E(4) are the respective kinetic energies of elect...

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  13. What is de-Broglie wavelength assciated with electron moving under a ...

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  14. The minimum energy required by an electron to..........form the metal ...

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  15. The maximum kinetic energy of emitted photoelectrons depends on the......

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  16. The ratio of number of photoelectrons ejected to the number of the pho...

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  17. For given photosenstive material, the photoelectric current is...........

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  18. An increase in the frequency of the incident light.............the vel...

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  19. The minimum energy required to ejected an electron from the surface of...

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  20. In photoelectric effect the energy of the free electron does not depen...

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  21. Photon is not a..........but it is a.......... .

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