Converting Wavelength to Nanometers

[jcvince17]

Homework Statement

i just need to convert 2.8*10¹⁴ into nano meters

Homework Equations

\lambda = v / f

The Attempt at a Solution

\lambda = v / f

\lambda = 2.0*10⁸ / 700*10^-9 (nanometers)

\lambda = 2.8*10¹⁴

i am backwards on my conversion, i am horrible at it.

is it:

A - 2.80000000 nm

or

B - .00000028 nm

it wants my answer to three sig fig's

 

[mgb_phys]

I'm guessing it's a frequency of 2.8^14 hz the OP wants to convert into a wavelegnth.

wavelength * frequency = speed.
so wavelength = c/f = 3e8 m/s / 2.8E14 /s = 1.07e-6m = 1070 e-9m

 

[jcvince17]

yes that got the first problem correct.

thanks