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# Frequency and Wavelength Calculations

## Background

• Constant:   v = speed of light (3 x 108 m/s)
• Variable:   λ=wavelength (m)
• Variable:   f = frequency (Hz)
• Formula:   λ = v ÷ f
• Example:   λ = 300,000,000 m/s ÷ 1,110,000 Hz = 270 m

## Directions

For each problem write the formula, the formula populated with numbers, and the numeric answer with the proper units.

## Find the Wavelength

1. 3,000 Hz
2. 300 MHz (Mega = 1 x 106)
3. 1 THz (Tera = 1 x 1012)

## Find the Frequency

1. 390 nm (nano = 1 x 10-9)
2. 10 nm (nano = 1 x 10-9)
3. 10 pm (pico = 1 x 10-12)

SI prefixes. Derived from Wikipedia Prefix Symbol 10n Decimal Short scale
exa E 1018 1000000000000000000 Quintillion
peta P 1015 1000000000000000 Quadrillion
tera T 1012 1000000000000 Trillion
giga G 109 1000000000 Billion
mega M 106 1000000 Million
kilo k 103 1000 Thousand
100 1 One
centi c 10-2 0.01 Hundredth
milli m 10-3 0.001 Thousandth
micro µ 10-6 0.000001 Millionth
nano n 10-9 0.000000001 Billionth
pico p 10-12 0.000000000001 Trillionth
femto f 10-15 0.000000000000001 Quadrillionth
atto a 10-18 0.000000000000000001 Quintillionth