Question

directions: sort the statement as a true or false declaration about wave properties.
wavelength is indirectly related to the energy of an em wave (as wavelength increases, energy decreases)
true statement false statement

Explanation:

Step1: Recall EM wave energy formula

The energy \( E \) of an electromagnetic (EM) wave is given by \( E = hf \), where \( h \) is Planck's constant and \( f \) is frequency. Also, the speed of light \( c = \lambda f \) (where \( \lambda \) is wavelength), so \( f=\frac{c}{\lambda} \). Substituting into energy formula: \( E = \frac{hc}{\lambda} \).

Step2: Analyze the relationship

From \( E = \frac{hc}{\lambda} \), as \( \lambda \) (wavelength) increases, \( E \) (energy) decreases (since \( h \) and \( c \) are constants). So wavelength and energy are indirectly related (inverse relationship).

Answer:

True Statement