Question

wave properties review
directions: sort the statement as a true or false declaration about wave properties
wavelength is directly related to the energy of an em wave (as wavelength increases, energy increases)
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 relationship between wavelength \( \lambda \) and frequency \( f \) is \( c = \lambda f \) (where \( c \) is the speed of light), so \( f=\frac{c}{\lambda} \). Substituting into the energy formula, we get \( E = \frac{hc}{\lambda} \).

Step2: Analyze the relationship

From \( E = \frac{hc}{\lambda} \), energy \( E \) is inversely proportional to wavelength \( \lambda \) (since \( h \) and \( c \) are constants). So as wavelength increases, energy decreases, not increases. Thus the statement is false.

Answer:

False Statement