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aldrian1234

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Sample Problem:

Find the value of energy of a wave with a frequency of 5 Hz.

Given: h = 6.63 * 10 ^ 34 J

f=5Hx. or * 5 / s

E =?

Solution:

E = hf

E = 6.63 * 10 ^ 34 * J/ s * (5 / s)

E = 3.315 * 10 ^ 35 J

Solve the following problems.

1. What is the energy carried by a photon with a frequency of 1 * 10cycles/second?

2. The wavelength of green light from a traffic signal is centered at 5.2 * 10 ^ - 5cm. Calculate the frequency.

3. What is wavelength of radio wave with a frequency of 1.5 * 10 ^ 7 Hz?
 
1. To find the energy carried by a photon with a frequency of 1 * 10^10 cycles/second, we can use the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency.

E = (6.63 * 10^-34 J s) * (1 * 10^10 cycles/second)
E = 6.63 * 10^-24 J

Therefore, the energy carried by the photon is 6.63 * 10^-24 J.

2. To calculate the frequency of green light with a wavelength of 5.2 * 10^-5 cm, we can use the equation c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency.

First, we need to convert the wavelength from cm to meters:
wavelength = 5.2 * 10^-5 cm = 5.2 * 10^-7 m

Next, we can rearrange the equation to solve for the frequency:
f = c / λ

Using the speed of light, c = 3 * 10^8 m/s:
f = (3 * 10^8 m/s) / (5.2 * 10^-7 m)
f ≈ 5.77 * 10^14 Hz

Therefore, the frequency of the green light is approximately 5.77 * 10^14 Hz.

3. To find the wavelength of a radio wave with a frequency of 1.5 * 10^7 Hz, we can use the equation c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency.

Again, rearranging the equation to solve for the wavelength:
λ = c / f

Using the speed of light, c = 3 * 10^8 m/s:
λ = (3 * 10^8 m/s) / (1.5 * 10^7 Hz)
λ ≈ 20 m

Therefore, the wavelength of the radio wave is approximately 20 meters.
 

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