Assume the speed of light as 3x108 m/s. if the frequency of an electromagnetic wave is 1,000,000 GHz (GHz=gigaherz=109), what is the wavelength of the radiation? Express the answer in micrometers and interpret the result.
Answers
Answer:
Look first of all you have to know exactly the formula we are using here which is so simple.....Please read explanation and try to gasp the formula
Explanation:
Now the formula or you can say relation between wavelength(lambda) and frequency is given by
c(speed of light)= f(frequency)× lambda(wavelength)
Now, lambda = c÷f
just we have to put values now
where c is given as 3×10^8 m/s.
Convert Gigahertz(GHz) to hertz(Hz), as 1GHz = 10^9 Hz
so..... 10^6 GHz will be equal to 10^15 Hz
Now after solving(you can easily do that i hope) you will get lambda value as 3×10^-7 metres.....but we want answer in micrometre so
1 metre= 10^ 6 micrometre
so 3×10^-7 metre will be equals to 3×10^-7 × 10^6 = 3 × 10^-1 micrometre or 0.3 micrometre...
(^)----> denoting raised to power on 10......
I hope it helps for any query feel free to ask
... I am here to solve it...