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MATH / Photons of red light have a wavelength of approximately 7×10^(−7) meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as…

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problem

Photons of red light have a wavelength of approximately 7×10−77\times 10^{-7} meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as a⋅10ba\cdot 10^b meters, where 1≤a<101\le a < 10. (In other words, in scientific notation.) What is a+ba+b written as a decimal?
Plain-text mathematical notation (without MathML)
Photons of red light have a wavelength of approximately 7×10^(−7) meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as a⋅10^(b) meters, where 1≤a<10. (In other words, in scientific notation.)  What is a+b written as a decimal?
Original LaTeX notation
Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.)  What is $a+b$ written as a decimal?

level

Level 5

type

Algebra

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task_id
7c149f9e-e44f-5b1a-ae96-276b6a96165a
task_key
algebra--test--7c149f9e-e44f-5b1a-ae96-276b6a96165a
task_revision_id
1
config / split
algebra / test

Official source

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