Question

a as wavelength increases, energy increases.
b as wavelength increases, energy decreases.
c as wavelength decreases, energy decreases.
d there is no relationship between wavelength and energy.

Explanation:

The relationship between the energy ($E$) of a photon and its wavelength ($\lambda$) is given by the formula $E = \frac{hc}{\lambda}$, where $h$ is Planck's constant and $c$ is the speed of light. From this formula, we can see that energy and wavelength are inversely proportional. So, as wavelength ($\lambda$) increases, energy ($E$) decreases, and as wavelength decreases, energy increases.

• Option A is incorrect because energy and wavelength are inversely proportional, so energy should decrease with increasing wavelength.
• Option B is correct as it follows the inverse relationship from the formula $E = \frac{hc}{\lambda}$.
• Option C is incorrect because if wavelength decreases, energy should increase (since they are inversely proportional).
• Option D is incorrect because there is a well - defined inverse relationship between wavelength and energy for photons (and electromagnetic radiation in general).

Answer:

B. As wavelength increases, energy decreases.