Answer :
4.22 nm is the wavelength in nanometers of light when the energy of a mole of photons is 2. 83 × 10^7.
The light wavelength in nanometers is 4.22 nm.
As per the known facts the energy is calculated using the formula -
E = hc/lambda. E represents energy, h represents Planck's constant, c represents the speed of light, and lambda is wavelength.
So, wavelength of one mole of photon :
Wavelength = hc/energy
Wavelength = (6.626 × × 3 × 10⁸) ÷ 2.83 × 10⁷
Performing multiplication and division on Right Hand Side of the equation
Wavelength = 7.02 ×
Wavelength of light = 4.22 ×
As is equal to 1 nanometer
Wavelength of light = 4.22 nm
Hence, the wavelength of light is 4.22 nm.
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