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  • What is the wavelength of a photon with energy <img alt="3.0 \times 10^{-19} \text{ J}" src="https://entrancecorner.oncodecogs.com/gif.latex?3.0%20%5Ctimes%2010%5E%7B-19%7D%20%5Ctext%7B%2

What is the wavelength of a photon with energy 3.0 \times 10^{-19} \text{ J}, according to Planck's quantum theory?

Option: 1

1.15 \times 10^{-7} \text{ m}


Option: 2

2.50 \times 10^{-7} \text{ m}


Option: 3

5.56 \times 10^{-7} \text{ m}


Option: 4

9.23 \times 10^{-7} \text{ m}


Answers (1)

best_answer

According to Planck's quantum theory, the energy of a photon is given by the equation E = \dfrac{hc}{\lambda}, where E is the energy of the photon, h is Planck's constant \mathrm{(6.626 \times 10^{-34} \text{ J s}), c} is the speed of light \mathrm{(3.0 \times 10^8 \text{ m/s})}\mathrm{(3.0 \times 10^8 \text{ m/s})}, and \mathrm{\lambda} is the wavelength of the photon.

Rearranging this equation gives \mathrm{\lambda = \dfrac{hc}{E}}.

Plugging in the given values, we get \mathrm{\lambda = \dfrac{(6.626 \times 10^{-34} \text{ J s})(3.0 \times 10^8 \text{ m/s})}{3.0 \times 10^{-19} \text{ J}} \approx 2.50 \times 10^{-7} \text{ m}}.

The correct option is 2.

Posted by

rishi.raj

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