Atomic Emissions 3

Question

Your microwave oven emits radiation at 2.45 MHz (which can interfere with your WiFi). What is its wavelength?

Answer 1

NOTE: Microwaves do not have frequencies in the range of 2.45 MHz. They are generally in the range of 2450 MHz. But I'll do the problem as you stated just to show you how to go about it. When you find the correct frequency (maybe it was supposed to be 2.45 GHz, not MHz), then do it the same way.

Use c = λν where c is speed of light (3x108 m/sec), λ is wavelength in m and ν is frequency in s^-1 (Hz)

Rearranging and solving for wavelength after changing GHz to Hz (2.45 MHz x 10⁶ Hz/1 MHz)

λ = c/ν = 3x10⁸ ms^-1/2.45x10⁶ s^-1)

λ = 1.22x10² m (a ridiculously long wavelength)