Question

analyze the statement: \as the frequency of an electromagnetic wave increases, the energy carried by the wave decreases.\ what evidence would you use to evaluate this claim?

the statement is correct because higher frequency waves have shorter wavelengths and therefore less energy

the statement is incorrect because energy increases as frequency increases

the statement is correct only for radio waves and microwaves

none of the statements are accurate

Explanation:

To evaluate the claim, we use the formula for the energy of a photon (and thus an electromagnetic wave) \( E = hf \), where \( E \) is energy, \( h \) is Planck's constant, and \( f \) is frequency. This shows energy is directly proportional to frequency. So as frequency increases, energy should increase, meaning the original statement is incorrect. The second option states the statement is incorrect because energy increases as frequency increases, which aligns with the formula. The first option is wrong (shorter wavelength doesn't mean less energy; in fact, shorter wavelength means higher frequency and higher energy). The third option is incorrect as the relationship holds for all electromagnetic waves. The fourth option is wrong because the second option is accurate.

Answer:

B. The statement is incorrect because energy increases as frequency increases