Question

Cobalt-60 is a type of gamma ray that is used to treat cancer patients. If the wavelength of the gamma radiation emitted from Cobalt-60 is 0.001 nm, find the frequency of the radiation.

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Answer to a math question Cobalt-60 is a type of gamma ray that is used to treat cancer patients. If the wavelength of the gamma radiation emitted from Cobalt-60 is 0.001 nm, find the frequency of the radiation.

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Madelyn
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1. Convert the wavelength from nanometers to meters:

0.001 \, \text{nm} = 0.001 \times 10^{-9} \, \text{m}

2. Use the formula for frequency:

\nu = \frac{c}{\lambda}

3. Substitute the values for speed of light and the converted wavelength:

\nu = \frac{3 \times 10^8 \, \text{m/s}}{0.001 \times 10^{-9} \, \text{m}}

4. Perform the division to find the frequency:

\nu=3\times10^{20}\,\text{Hz}

Answer: 3\times10^{20}\,\text{Hz}

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