Question

. Determine what emission line-width would be required to have a temporal coherence length of 5 m for a source with frequency 100 MHz.

Answer 1

Concept Introduction: Emission Line Width is the width of the spectrum of certain frequency or wavelength.

Given:

We have been Given: Temporal Coherence Length is

$5 \: m$

frequency is

$100mhz = 100 \times {10}^{6} hz$

To Find:

We Have to Find: The Emission Line Width.

Solution:

According to the problem, Emission Line Width is given by

$\frac{ {(temporal \: coherence \: length)}^{2} \times frequency}{c}$

Therefore putting the values in place,

$\frac{ {5}^{2} \times {10}^{8} }{3 \times {10}^{8} } = \frac{25 \times {10}^{8} }{3 \times {10}^{8} } = \frac{25}{3} = 8.33 \: m$

Final Answer: The Emission Line Width of the given Frequency is

$8.33 \: m$

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