Question

The distinctive green color is caused by the interaction of the radiation with oxygen and has a frequency of 5.38 x 1014 Hz. What is the wavelength of this light?

Answer 1

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The speed of light, c, is equal to the product of the wavelength, &lamda;, and the frequency, ν.

Therefore

λ = c/ν

λ = 3 x 10^8 m/sec / (5.38 × 10^14 Hz)

λ = 5.576 x 10^-7 m

1nm = 10^-9m

λ=557.6 nm

==>The wavelength of the green light is 5.576 x 10^-7m (or) 557.6nm

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Answer 2

Answer:

Explanation:

The Aurora Borealis is a night display in the Northern latitudes caused by ionizing radiation interacting with the Earth's magnetic field and the upper atmosphere. The distinctive green color is caused by the interaction of the radiation with oxygen and has a frequency of 5.38 x 1014 Hz. What is the wavelength of this light?

Solution:

The speed of light, c, is equal to the product of the wavelength, &lamda;, and the frequency, ν.

Therefore

λ = c/ν

λ = 3 x 108 m/sec/(5.38 x 1014 Hz)

λ = 5.576 x 10-7 m

1 nm = 10-9 m

λ = 557.6 nm

Answer:

The wavelength of the green light is 5.576 x 10-7 m or 557.6 nm.

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