Table of contents

9. Quantum Mechanics

Wavelength and Frequency

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Multiple Choice

Determine the frequency, in hertz, of radiation having an energy of 8.66 x 10^-21 J/photon. (Use Planck's constant, h = 6.626 x 10^-34 J·s)

2.00 x 10^14 Hz

3.00 x 10^15 Hz

1.31 x 10^13 Hz

5.00 x 10^12 Hz

Verified step by step guidance

Start by recalling the relationship between energy and frequency for a photon, which is given by the equation:

E = h f

, where

E

is the energy of the photon,

h

is Planck's constant, and

f

is the frequency.

Rearrange the equation to solve for frequency

f

f = \frac{E}{h}

Substitute the given values into the equation:

E = 8.66 \times 10^{- 21} J

and

h = 6.626 \times 10^{- 34} J·s

Perform the division:

f = \frac{8.66 \times 10^{- 21}}{6.626 \times 10^{- 34}}

The result of this calculation will give you the frequency in hertz, which corresponds to the energy of the photon provided.

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