Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1. which of the following best describes the relationship between wavel…

Question

  1. which of the following best describes the relationship between wavelength and energy of light? a. the longer the wavelength, the higher the energy b. the shorter the wavelength, the lower the energy c. the longer the wavelength, the lower the energy d. the shorter the wavelength, the higher the energy

Explanation:

Brief Explanations

The energy of a photon of light is given by the formula $E = h
u$, where $h$ is Planck's constant and $
u$ is the frequency. Since $
u=\frac{c}{\lambda}$ (where $c$ is the speed of light and $\lambda$ is the wavelength), we can rewrite the energy formula as $E=\frac{hc}{\lambda}$. This shows that energy is inversely - proportional to wavelength. So, shorter wavelengths mean higher energy and longer wavelengths mean lower energy.

Answer:

C. The longer the wavelength, the lower the energy; D. The shorter the wavelength, the higher the energy