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  • According to Planck's quantum theory, the energy of a quantum of radiation is given by:  Option: 1 <img alt="\mathrm{E =

According to Planck's quantum theory, the energy of a quantum of radiation is given by:

 

Option: 1

\mathrm{E = hv }


Option: 2

\mathrm{E = \dfrac{hc}{\lambda} }


Option: 3

\mathrm{E = \dfrac{hc}{2\lambda} }


Option: 4

\mathrm{E = \dfrac{h}{\lambda} }


Answers (1)

best_answer

Correct option a)\mathrm{E = hv}

According to Planck's quantum theory, the energy of a quantum of radiation is directly proportional to its frequency. This is given by the equation\mathrm{E = hv}, where E is the energy of the quantum, h is Planck's constant

\mathrm{ (6.626 \times 10^{-34} \text{ J s})}, and v is the frequency of the radiation.

Option b) \mathrm{ E = \dfrac{hc}{\lambda}} is the equation for the momentum of a photon, not its energy. Option c) \mathrm{E = \dfrac{hc}{2\lambda}} is an incorrect equation.

Option d)\mathrm{ E = \dfrac{h}{\lambda} }is the equation for the energy per unit wavelength, not the energy of a single quantum.

 

Posted by

shivangi.bhatnagar

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