The wavelength of a photon that has an energy of 6.33*10^-18 j is m.

a) 3.79*10^-7
b) 3.10*10^-8
c) 2.38*10^23
d) 4.21*10^-24
e) 9.55 *10^15

The wavelength of a photon that has an energy of 6.33*10^-18 J is 3.1 × 10⁻⁸ m. The correct option is B) 3.10*10^-8

To determine the wavelength of a photon that has an energy of 6.33*10^-18 J (6.33×10⁻¹⁸ J)

We will consider the equation for energy of a photon.

The energy, E, of a photon is given by

Where is the Planck's constant (h = 6.626 × 10⁻³⁴Js)

and is the frequency

Recall that,

Where c is the speed of light (c = 3.0 × 10⁸ m/s)

and λ is the wavelength

Therefore,

Since, we are to determine the wavelength, we can write that

From the question,

E = 6.33×10⁻¹⁸ J

Putting the parameters into the equation, we get

m ≅ 3.1 × 10⁻⁸ m

Hence, the wavelength of a photon that has an energy of 6.33*10^-18 J is 3.1 × 10⁻⁸ m. The correct option is B) 3.10*10^-8

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B) 3.10*10^-8 m

Explanation:

The energy of a photon is given by:

where

is the Planck constant

is the speed of light

is the photon's wavelength

In this problem, we know the energy of the photon

So we can rearrange the equation to find the wavelength:

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