To find the wavelength of light, we can use the formula for the energy of a photon, which is E = h*c/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

We can rearrange this formula to solve for λ: λ = h*c/E.

Given that E = 2.89 x 10^-19 J, h = 6.626 x 10^-34 J*s, and c = 3.00 x 10^8 m/s, we can substitute these values into the formula:

λ = (6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / 2.89 x 10^-19 J

This gives us λ = 6.87 x 10^-7 m.

However, the answer choices are given in nanometers, and 1 m = 10^9 nm, so we need to convert our answer to nm:

λ = 6.87 x 10^-7 m * 10^9 nm/m = 687 nm.

So, the answer is D. 688 nm.

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To find the wavelength of light, we can use the formula for the energy of a photon, which is E = h*c/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

We can rearrange this formula to solve for λ: λ = h*c/E.

Given that E = 2.89 x 10^-19 J, h = 6.626 x 10^-34 J*s, and c = 3.00 x 10^8 m/s, we can substitute these values into the formula:

λ = (6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / 2.89 x 10^-19 J

This gives us λ = 6.87 x 10^-7 m.

However, the answer choices are given in nanometers, and 1 m = 10^9 nm, so we need to convert our answer to nm:

λ = 6.87 x 10^-7 m * 10^9 nm/m = 687 nm.

So, the answer is D. 688 nm.

Knowee AI · Accepted Answer

To find the wavelength of light, we can use the formula for the energy of a photon, which is E = h*c/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength.

We can rearrange this formula to solve for λ: λ = h*c/E.

Given that E = 2.89 x 10^-19 J, h = 6.626 x 10^-34 J*s, and c = 3.00 x 10^8 m/s, we can substitute these values into the formula:

λ = (6.626 x 10^-34 J*s * 3.00 x 10^8 m/s) / 2.89 x 10^-19 J

This gives us λ = 6.87 x 10^-7 m.

However, the answer choices are given in nanometers, and 1 m = 10^9 nm, so we need to convert our answer to nm:

λ = 6.87 x 10^-7 m * 10^9 nm/m = 687 nm.

So, the answer is D. 688 nm.

What is the wavelength of light with 2.89 10-19 J of energy? (The speed of light in a vacuum is 3.00 108 m/s, and Planck's constant is 6.626 10-34 J•s.)A.1310 nmB.764 nmC.1450 nmD.688 nm

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