Calculate the energy of a photon of electromagnetic radiation at each of the following wavelengths. a. 632.8 nm (wavelength of red lightfrom helium-neon laser)
b. 503 nm (wavelength of maximumsolar radiation)
c. 0.0520 nm (a wavelength contained inmedical X-rays)

A)566×10^-16J

B)711.99×10^-16J

C)688.69×10^-12J

Explanation:

A)

But we know that

1 nm = 10^-9 m

Then we can Convert from nanometer to metre which is SI unit

632.8 nm = 632.8×10^-9 m = 6.328×10^-7 m

The speed of light is c = 2.998×10^8 m/s

λ = 6.328×10^-7 m

But the frequency can be calculated as;

ƒ = c / λ

ƒ = (2.998×10^8 m/s) / (6.328×10^-7 m)

Then

ƒ = 4.738×10^14 s-1

To calculate Energy we use

Energy= hf

Where h is plank constant= 6.626× 10^-34

Energy= 6.626× 10^-34 × 4.738×10^14=566×10^-16J

B)

But we know that

1 nm = 10^-9 m

Then we can Convert from nanometer to metre which is SI unit

Then 503 nm = 503×10^-9 m = 5.03×10^-7 m

c = 2.998×10^8 m/s

λ = 5.03×10^-7 m

But the frequency can be calculated as;

ƒ = c / λ

ƒ = (2.998×10^8 m/s) / (5.03×10^-7 m)

ƒ = 5.960×10^14 s-1

Energy= 6.626× 10^-34 × 5.960×10^14 s-1= 711.99×10^-16J

C)

1 nm = 10^-9 m

0.0520 nm = 0.0520×10^-9 m = 5.20×10^-11 m

Where the speed of light is

c = 2.998×10^8 m/s

λ = 5.20×10^-11 m

But the frequency can be calculated as;

ƒ = c / λ

ƒ = (2.998×10^8 m/s) / (5.20×10^-11 m)

ƒ = 5.765×10^18 s-1

Energy= 6.626× 10^-34 × 5.765×10^18 s-1= 688.69×10^-12J