Question #98649
1) What is the wavelength of radiation with a frequency of 7.30 x 10^15 sec^-1?
2) Find the frequency of radiation that has energy of 3.8 x 10^-10 J.
1
Expert's answer
2019-11-14T06:17:07-0500

Q98649


Solution:

1.λ=?;ν=7.301015s1\lambda =?; \nu=7.30*10^{15}s^{-1}

We know; λ=c/ν;\lambda=c/ \nu; where c=3108ms1c=3*10^8 ms^{-1} (speed of light)

=3108/(7.301015)=3*10^8/(7.30*10^{15})

=4.109108m.=4.109*10^{-8}m.

=41.096nm.=41.096 nm.

2.ν=?;E=3.81010J\nu =?; E=3.8*10^{-10}J

We know ; E=hνE=h\nu ; where h=6.6261034Jsh=6.626*10^{-34} Js (Planck's constant)

    ν=E/h\implies \nu=E/h

=3.81010/(6.6261034)=3.8*10^{-10}/(6.626*10^{-34})

=5.7351023s1=5.735*10^{23}s^{-1} .


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