Chayse is working on analyzing the electromagnetic spectrum, focusing on ultraviolet rays. He determines that a UV ray has a frequency of #1.53 xx 10^16" Hz"# and a wavelength of #1.96 xx 10^-8" m"#. Are his results reasonable? Explain your answer.

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Answer 1 · 2018-03-15T15:46:58

Given #f = 1.53 xx 10^16" Hz"# and #lambda = 1.96 xx 10^-8" m"#

Verify whether #C = flambda#:

#(1.53 xx 10^16" Hz")(1.96 xx 10^-8" m")#

We know that an alternative unit for #"Hz"# is #s^-1#:

#(1.53 xx 10^16" s"^-1)(1.96 xx 10^-8" m") =2.9988 xx 10^8" m/s"#

The experimental results yield a consistent value.