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What is the number of photons with a wavelength of 4000 pm that provide 1 J of energy?

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Wavelength of light, λ = 4000 pm = 4000 x 10-12 m

Energy provided, E = 1 J

Energy per photon = hc/λ

If N is the number of photons that provide 1 J energy, we can write

1 J = N x hc/λ

or, N = {1 J x λ}/{hc}

= {15 x 4000 x 10-12 m}/{6.626 x 10-34 Js x 3 x 108 m/s}

= 2.012 x 1016

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