Question

5 which color of visible light corresponds to the largest energy change (δe)? a yellow (590 nm) b red (700 nm) c violet (410 nm) d green (530 nm)

Explanation:

Step1: Recall energy - wavelength relationship

The energy of a photon is given by $E = h
u=\frac{hc}{\lambda}$, where $h$ is Planck's constant ($h = 6.626\times10^{-34}\ J\cdot s$), $c$ is the speed of light ($c = 3\times10^{8}\ m/s$) and $\lambda$ is the wavelength. Energy is inversely proportional to wavelength ($E\propto\frac{1}{\lambda}$).

Step2: Compare wavelengths

We are given: $\lambda_{yellow}=590\ nm = 590\times10^{-9}\ m$, $\lambda_{red}=700\ nm=700\times 10^{-9}\ m$, $\lambda_{violet}=410\ nm = 410\times10^{-9}\ m$, $\lambda_{green}=530\ nm=530\times10^{-9}\ m$.
Since $E\propto\frac{1}{\lambda}$, the smallest wavelength will correspond to the largest energy change. Among the given wavelengths, the violet light has the smallest wavelength.

Answer:

C. Violet (410 nm)