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Home Q & A Board Science-Related Homework Help Physics
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micaht25 micaht25
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11 years ago
What is the wavelength (in nanometers) associated with a photon which has an energy content of 4.86X10^-24?

Please write the answer in scientific notation with correct significant figures and please show work/steps on how to do this problem. Thank you so much!!!
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#1
11 years ago
energy = (planck's constant x speed of light) / wavelength

i am pretty sure that formula is in your textbook.

4.86 x 10^24 = (6.63 x 10^-34 x 3 x 10^8) / wavelength

wavelength = 4.09 x 10^50 nanometers
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#2
11 years ago
You use the planck relation E=hv where E is energy, h is planck's constant, 6.626 x 10^(-34), and v is frequency, which can then be combined with the wavelength relation c=(lamda)v, with c as the speed of light in the medium(assuming a vacuum 3.0x10^8 m/s) and lamda is the wavelength to create the relation E=hc/lamda or lamda=hc/E.

Plugging in the known values(Assuming you are given the energy in joules) gives you the equation
lamda=(6.626 x 10^(-34))(3.0x10^8 m/s)/(4.86X10^-24)= .040901m X 10^9

=4.09 X 10^7 nm
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