Thre problem says this:
Your microwave oven cooks by agitating water molecules at a frequency of 2.45 gigahertrz(GHz) or 2.45*10^9 Hz. What is the wavelength of the microwaves's electromagnetic radiation in centimeters?
Now I know that you have to use the equation λ=c/f
I got up to this part λ=(3.00*10^8 m/s)/(2.45 Hz)
But then I got confused on the units? How exactly do I make them cancel out if I just want meters and Hz is cycle/second?
Please could you go step by step to show how I would be able to cancel out the units? I would really appreciate the help and I thank you very much in advance :)
Your microwave oven cooks by agitating water molecules at a frequency of 2.45 gigahertrz(GHz) or 2.45*10^9 Hz. What is the wavelength of the microwaves's electromagnetic radiation in centimeters?
Now I know that you have to use the equation λ=c/f
I got up to this part λ=(3.00*10^8 m/s)/(2.45 Hz)
But then I got confused on the units? How exactly do I make them cancel out if I just want meters and Hz is cycle/second?
Please could you go step by step to show how I would be able to cancel out the units? I would really appreciate the help and I thank you very much in advance :)
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λ [m] = c [m/s] / f [1/s], the units are automatically correct
λ = 3E8 [m/s] / 2.45E9 [1/s] = 0.122 m (E8 means x 10^8)
(m/s)/(1/s) = ( m s) / s = m
The unit for frequency is Hz or '..per second', 1/s
beats per second, revolutions per second etc etc
λ = 3E8 [m/s] / 2.45E9 [1/s] = 0.122 m (E8 means x 10^8)
(m/s)/(1/s) = ( m s) / s = m
The unit for frequency is Hz or '..per second', 1/s
beats per second, revolutions per second etc etc