Question #305e7

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Answer 1 · 2017-10-07T17:57:23

See my solution below

The relation between wavelength #lambda# and frequency, #f# is

#v=lambda * f#

where #v# is the speed of light, #3.0xx10^8# m/s.

In this case, #lambda = 805xx10^(-9)# m or #8.05xx10^(-7)# m in proper scientific notation.

So, the relation is

#3.0xx10^8=8.05xx10^(-7) *f#

#f=(3.0xx10^8)/(8.05xx10^(-7)) = 0.373xx10^15# Hz

To make this scientific notation, we increase the 0.373 by 10 times, then decrease the power of ten the same amount.

0.373 becomes 3.73 and #10^15# becomes #10^14#

Thus, the number becomes #3.73xx10^14# Hz