The wavelengths of visible light vary from about 300 nm to 700 nm. What is the range of frequencies of visible light in a vacuum?(1 point)

Question

Responses

a) 9⋅10¹⁰ Hz to 2.1⋅10¹¹ Hz
9⋅10¹⁰ Hz to 2.1⋅10¹¹ Hz

b) 4.28⋅10⁵ Hz to 1⋅10⁶ Hz
4.28⋅10⁵ Hz to 1⋅10⁶ Hz

c) 4.29⋅10¹⁴ Hz to 1⋅10¹⁵ Hz
4.29⋅10¹⁴ Hz to 1⋅10¹⁵ Hz

d) 90 Hz to 210 Hz

Answer 1

c) 4.29⋅10¹⁴ Hz to 1⋅10¹⁵ Hz.

The frequency of visible light can be calculated using the formula:

frequency = speed of light / wavelength

In a vacuum, the speed of light is constant at 3.00 x 10^8 m/s. Converting the given wavelength range from nm to m:

300 nm = 3.00 x 10^-7 m
700 nm = 7.00 x 10^-7 m

Using the formula above:

frequency (min) = 3.00 x 10^8 m/s / 7.00 x 10^-7 m = 4.29 x 10^14 Hz

frequency (max) = 3.00 x 10^8 m/s / 3.00 x 10^-7 m = 1.00 x 10^15 Hz

Therefore, the range of frequencies of visible light in a vacuum is 4.29 x 10^14 Hz to 1.00 x 10^15 Hz.