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What is the frequency of an electromagnetic radiation which makes 2 x 106 waves per 50 cm

Question

What is the frequency of an electromagnetic radiation which makes 2 x 10^6 waves per 50 cm?

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Solution

The frequency of an electromagnetic radiation can be calculated using the formula:

Frequency (f) = Speed of Light (c) / Wavelength (λ)

However, in this case, we are given the number of waves per distance (50 cm), not the wavelength. So, we first need to find the wavelength.

1 wave has a length of 50 cm / 2 x 10^6 = 2.5 x 10^-8 cm

But the speed of light is usually measured in meters per second, so we should convert the wavelength to meters:

2.5 x 10^-8 cm = 2.5 x 10^-10 m

Now we can find the frequency:

f = c / λ = 3 x 10^8 m/s / 2.5 x 10^-10 m = 1.2 x 10^18 Hz

So, the frequency of the electromagnetic radiation is 1.2 x 10^18 Hz.

This problem has been solved

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