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What is the frequency of a 1.31 x 10-22 J wave? What is its wavelength?

Sagot :

Explanation and Answer:

  • Recall the formula: [tex]E=hf[/tex]
    [tex]E=energy\\h= 6.606 (10^{-34})J.s. \\f=frequency[/tex]
    Note: h is Planck's constant
  • Substitute all of the given values.
    [tex]E=hf\\1.31(10^{-22})J= 6.606(10^{-34})J.s. (f)\\f=\frac{1.31(10^{-22})J}{6.606(10^{-34})J.s.} \\f=1.98(10^{11})Hz[/tex]
  • To find its wavelength, we use: c=λf
    c= speed of light [tex]3(10^8)m/s[/tex]
    λ= wavelength
    f= frequency
  • Substitute all of the given values.
    c=λf
    [tex]3(10^8)m/s[/tex]=λ × [tex]1.98(10^{11})Hz[/tex]
    λ =[tex]\frac{3(10^8)m/s}{1.98(10^{11})Hz}[/tex]
    λ=[tex]6.6(10^2)m[/tex]