It is the 400 nm photon that has the greater energy by a factor of 1.77.
We know that the wavelength has to do with the horizontal distance that is covered by a wave. We know that the longer the distance that is covered then the weaker the wave. In other words, the wavelength of the wave is inversely proportional to the to the energy of the wave. The greater the wavelength, the lesser the energy.
Let us now find the energy of each of the wavelengths;
E = hc/λ
E = energy of the light
h = Plank's constant
c = speed of light
λ = wavelength
For the 700 nm photon;
E = 6.6 * 10^-34 * 3 * 10^8/ 700 * 10^-9
E = 2.8 * 10^-19 J
For the 400 nm photon;
E = 6.6 * 10^-34 * 3 * 10^8/ 400 * 10^-9
E= 4.95 * 10^-19 J
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