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Question
1 rank the following wavelengths by photon energy (highest → lowest): 400 nm, 530 nm, 650 nm. 400 nm 530 nm 650 nm
Step1: Recall energy - wavelength relation
The energy of a photon is given by $E = \frac{hc}{\lambda}$, where $h$ is Planck's constant, $c$ is the speed of light and $\lambda$ is the wavelength. Energy and wavelength are inversely proportional.
Step2: Compare the wavelengths
We have $\lambda_1 = 400\ nm$, $\lambda_2=530\ nm$, $\lambda_3 = 650\ nm$. Since $400\ nm<530\ nm < 650\ nm$, the photon energy relation will be opposite.
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400 nm > 530 nm > 650 nm