Question

a student is setting up lights for the school talent show. she notices that increasing the amplitude of the light waves makes the lights appear brighter. she has two light bulbs—one produces a wavelength of 650 nm, and the other produces 450 nm. which color will the audience see from each light, and how will changing the amplitude affect what they see? 650 nm will look red, 450 nm will look violet, and increasing amplitude will make the lights brighter. 650 nm will look violet, 450 nm will look red, and increasing amplitude will change the color of the lights. 650 nm will look red, 450 nm will look violet, and increasing amplitude will change the frequency of the wave. 650 nm will look violet, 450 nm will look red, and increasing amplitude will make the lights dimmer.

Explanation:

1. Wavelength - Color Relationship: In the visible light spectrum, wavelengths around 650 nm correspond to red light, and wavelengths around 450 nm correspond to violet light. So 650 nm is red, 450 nm is violet.
2. Amplitude - Brightness Relationship: The amplitude of a light wave is related to its intensity (brightness). Increasing the amplitude of a light wave increases its intensity, making the light appear brighter. Changing amplitude does not change the color (which is determined by wavelength) or the frequency (frequency and wavelength are related by \( c = \lambda f \), and amplitude is independent of frequency). So increasing amplitude makes lights brighter.

Answer:

A. 650 nm will look red, 450 nm will look violet, and increasing amplitude will make the lights brighter.