Question

Wavelength Worksheet (Show all your work)h = 6.63 X 10 -34 (j) sec c = 3.00 X 10 8 m/secColor Wavelength FrequencyViolet shorter than 4.5 x 10 -7 m more then 6.7 x 10 14 1/secBlue 4.5 to 5.0 x 10 ^-7 6.7 to 6.0 x 10^ 14Green 5.0 to 5.7 x 10 ^-7 6.0 to 5.2 x 10^ 14Yellow 5.7 to 5.9 x 10 ^-7 5.2 to 5.1 x 10^ 14Orange 5.9 to 6.1 x 10 ^-7 5.1 to 4.9 x 10^ 14Red longer than 6.1 x 10^ -7 less than 4.9 x 10^ 141. Calculate the frequency of light that has a wavelength of 4.7 X 10 -7 meters. What is the color of that light?2. Calculate the wavelength and energy of light that has a frequency of 5.0 X 10 14 hertz. What is the color of that light?3. Calculate the wavelength and the frequency for a photon that has an energy of 2.4 X 10 -14 joules. Using your text book tell what type of electromagnetic radiation is involved?4. What color of light has a wavelength of 5.89 X 10 -5 centimeters?5. Calculate the frequency and energy for a wavelength of ultraviolet light that is 2.3 X 10 -8 m long .6. Calculate the wavelength and energy of a radio wave that has a frequency of 200 sec-1

Answer 1

The frequency of light with a wavelength of 4.7 x 10^-7 meters is approximately 6.38 x 10^14 Hz, which corresponds to blue light in the visible spectrum.

Step-by-step explanation:

The calculations relating to the wavelength, frequency, and energy of light are pivotal in understanding the properties of electromagnetic radiation in physics.

Frequency and Wavelength Calculation

To calculate the frequency of light with a given wavelength, the formula c = fλ, where c is the speed of light (3.00 × 108 m/s), f is the frequency, and λ is the wavelength, is used. For a light with a wavelength of 4.7 × 10-7 meters:

f = c / λ
f = (3.00 × 108 m/s) / (4.7 × 10-7 m)
f ≈ 6.38 × 1014 Hz

According to the given data, this frequency falls within the range for blue light.