Some instruments differentiate individual quanta of electromagnetic radiation based on their energies. Assume search and instrument has been adjusted to detect photons that have 1.00 x 10^-16 J of energy. What is the wavelength of the detected radiation? Give your answer in nanometers and in meters.

Question

Jasmin

Chemistry

28 June, 23:12

Some instruments differentiate individual quanta of electromagnetic radiation based on their energies. Assume search and instrument has been adjusted to detect photons that have 1.00 x 10^-16 J of energy. What is the wavelength of the detected radiation? Give your answer in nanometers and in meters.

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Answers (1)

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Lillie Sheppard · Answer 1

Well, you know that 3.25e-16J = 1/2mv^2 for the particle, the speed of the "particle" is c.

So, mv = 2 (3.25e-16) / c

= 2.168e-24 Kg m/s

Finding the De Broglie wavelength:

wavelength = h/mv

= 6.62606957e-34/2.168e-24

= 3.056e-10m or 0.3 nanometers