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3 years ago

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

Chemistry

1 answer:

dimulka [17.4K]3 years ago

8 0

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

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