Find the energy of each of the photons which (i) correspond to light of frequency $3×10^15$Hz. (ii) have a wavelength of 0.50 Å.

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Find the energy of each of the photons which (i) correspond to light of frequency $3×10^15$ Hz. (ii) have a wavelength of 0.50 Å.

Find the energy of each of the photons which (i) correspond to light of frequency $3×10^15$ Hz. (ii) have a wavelength of 0.50 Å.

(i)

The energy of a photon (E) can be calculated by using the following expression:

$E= h\nu$

Where, ‘h’ denotes Planck’s constant, which is equal to $6.626\times 10^{-34}\, Js\nuν$ (frequency of the light) = $3\times 10^{15}Hz$

Substituting these values in the expression for the energy of a photon, E:

$E=(6.626\times 10^{-34})(3\times 10^{15})$

$E=1.988\times 10^{-18}\, J$

(ii)

The energy of a photon whose wavelength is (\lambda) is:

$E= hc\nu$

Where,

h (Planck’s constant) = $6.626\times 10^{-34}Js$

c (speed of light) = $3\times 10^{8}\,m/s$

Substituting these values in the equation for ‘E’:

E= $\frac{(6.626\times 10^{-34})(3\times 10^{8})}{0.50\times 10^{-10}}=3.976\times 10^{-15}J$

∴ $E=3.98\times 10^{-15}J$

i

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