Electromagnetic spectrum calculation practice problems

Calculate the frequency of electromagnetic radiation that has a wavelength of 92.2 pm.

Give your answer in Hertz (cycles per second) to 3 significant figures with the most appropriate metric prefix.

Hz

Show equation

C = λ × f

E = h * C / λ

Show constants

C = 3×10⁸ms^-1

h = Planck's constant = 4.13566733×10^-15 eVHz^-1

Show metric prefix table

Power of 10	Prefix	Symbol
10^-18	atto	a
10^-15	femto	f
10^-12	pico	p
10^-9	nano	n
10^-6	micro	μ
10^-3	milli	m
10⁰	(base unit)
10³	kilo	k
10⁶	mega	M
10⁹	giga	G
10¹²	tera	T
10¹⁵	peta	P
10¹⁸	exa	E

Hint
It is easy to get the right number but be off by or more orders of magnitude. Be sure that all of your numbers are in the same base unit before performing the necessary multiplication and devision. The speed of light is given in m/s and Planck's constant is given in eV/Hz.

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