Question

Determine the frequency of radiation whose wavelength is 7.67 x 10^-7 cm. Then, determine the amount of energy in the radiation.

Answer 1

Answer:

They frequency = 3.9 * 10^16 Hz

The amount of energy E = 2.58 *10^-17 J

Explanation:

Step 1: Data given

wavelength is 7.67 * 10^-7 cm

Step 2: Calculate the frequency

f = c / λ

⇒ with  λ = the wavelength in nm = 7.67 nm

⇒ with c = the speed of light  = 3.00 * 10^8 m/s

⇒ f = the frequency = TO BE DETERMINED

f = (3.00 * 10^8 m/s) / 7.67 * 10^-9 m

f = 3.9 * 10 ^16 /s = 3.9 * 10^16 Hz

They frequency is 3.9 * 10^16 Hz

Step 3: Calculate the amount of energy

E  =  h *f

⇒ with E = the amount of energy (in joule)

⇒ h = Planck's constant =  6.626  *10^-34 J*s

⇒ with f = the frequency

E =  6.626  *10^-34 J*s * 3.9 * 10^16 Hz

E = 2.58 *10^-17 J