Which statement regarding the relative energies of monochromatic light with with λ = 800 nm andmonochromatic light with λ = 400 nm is correct? (a) 800 nm light has half as much energy per mole of photons as 400 nm light.(b) 800 nm light has the same energy per mole of photons as 400 nm light.(c) 800 nm light has twice as much energy per mole of photons as 400 nm light.(d) no conclusion may be drawn regarding the relative energy per mole of photons without knowing the intensity of the light.

The correct answer is option A.

Explanation:

Energy of the photon of an electromagnetic radiation is give by Planck's equation:

Where:

h = Planck's constant

c = speed of light

= Wavelength of the photon's radiation

Energy of photon of 800 nm monochromatic light

Energy per mole of photons:

..[1]

Energy of photon of 400 nm monochromatic light

Energy per mole of photons:

..[2]

[1] ÷ [2]

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