❓ Help Assignment

[aldrian1234]

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 . 0* 10^6 cycles/second?

2. The wavelength of green light from a traffic signal is centered at 5.20 * 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, we can use the formula E = hf, where E is the energy, h is the Planck's constant (6.63 * 10^(-34) J), and f is the frequency.

Given:
f = 1.0 * 10^6 cycles/second

To convert cycles/second to Hz, we divide by 1. The frequency is therefore 1.0 * 10^6 Hz.

Using the formula, we can calculate the energy:
E = (6.63 * 10^(-34) J) * (1.0 * 10^6 Hz)
E = 6.63 * 10^(-28) J

Therefore, the energy carried by a photon with a frequency of 1.0 * 10^6 Hz is 6.63 * 10^(-28) J.

2. To calculate the frequency of green light, we can use the formula v = c / λ, where v is the frequency, c is the speed of light (3.00 * 10^8 m/s), and λ is the wavelength.

Given:
λ = 5.20 * 10^(-5) cm

To convert cm to m, we divide by 100. The wavelength is therefore 5.20 * 10^(-7) m.

Using the formula, we can calculate the frequency:
v = (3.00 * 10^8 m/s) / (5.20 * 10^(-7) m)
v ≈ 5.77 * 10^14 Hz

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

3. To find the wavelength of a radio wave, we can use the formula v = c / λ, where v is the frequency, c is the speed of light (3.00 * 10^8 m/s), and λ is the wavelength.

Given:
v = 1.5 * 10^7 Hz

Using the formula, we can rearrange it to solve for the wavelength:
λ = c / v
λ = (3.00 * 10^8 m/s) / (1.5 * 10^7 Hz)
λ = 20 m

Therefore, the wavelength of a radio wave with a frequency of 1.5 * 10^7 Hz is 20 meters.