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Question

An electromagnetic wave going through vacuum is described by E=E0sin(kxωt). Which of the following is/are independent of the wavelength?

A
ω
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B
k ω
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C
kω
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D
k
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Solution

The correct option is C kω
We know that:
Wave number, k=2πλ
and ω=2πcλ

So, both ω and k depends upon the wavelength of the wave.

Now, kω=2πλ×λ2πc

kω=1c

Also, k ω=2πλ×2πcλ

k ω=(2π)2cλ2

Only kω is independent of the wavelength of the wave.

Hence, option (C) is correct.

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