QQuestionPhysics
QuestionPhysics
How do you convert a wavelength of 500 nanometers into energy in joules?
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Answer
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Step 1:I'll solve this problem step by step using the appropriate LaTeX formatting:
Step 2:: Recall the relationship between wavelength and energy
- $$\lambda$$ is the wavelength
The energy of a photon is given by the Planck-Einstein relation: Where:
Step 3:: Convert wavelength to meters
\lambda = 500~\mathrm{nm} = 500 \times 10^{-9}~\mathrm{m}
Step 4:: Substitute values into the equation
E = \frac{(6.626 \times 10^{-34}~\mathrm{J \cdot s})(3.00 \times 10^{8}~\mathrm{m/s})}{500 \times 10^{-9}~\mathrm{m}}
Step 5:: Calculate the energy
E = \frac{(6.626 \times 10^{-34})(3.00 \times 10^{8})}{500 \times 10^{-9}} = 3.98 \times 10^{-19}~\mathrm{J}
Final Answer
3.98 \times 10^{- 19}~\mathrm{J}
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