Two coherent sources of intensity ratio x^2 interfere that in int… - Vidyadip

MCQ

Two coherent sources of intensity ratio $x^2$ interfere that in interference pattern

A
$\frac{{{I_{\max .}} - {I_{\min .}}}}{{{I_{\max .}} + {I_{\min .}}}} = \frac{{1 + {x^2}}}{{2\sqrt x }}$
B
$\frac{{{I_{\max .}} + {I_{\min .}}}}{{{I_{\max .}} - {I_{\min .}}}} = \frac{{1 + x}}{{2\sqrt x }}$
✓
$\frac{{{I_{\max .}} - {I_{\min .}}}}{{{I_{\max .}} + {I_{\min .}}}} = \frac{{2x}}{{1 + {x^2}}}$
D
$\frac{{{I_{\max .}} + {I_{\min .}}}}{{{I_{\max .}} - {I_{\min .}}}} = \frac{{2x}}{{1 + {x^2}}}$

✓

Answer

Correct option: C.

$\frac{{{I_{\max .}} - {I_{\min .}}}}{{{I_{\max .}} + {I_{\min .}}}} = \frac{{2x}}{{1 + {x^2}}}$

c
$\frac{\mathrm{I}_{\max }-\mathrm{I}_{\min }}{\mathrm{I}_{\max }+\mathrm{I}_{\min }}=\frac{4 \sqrt{\mathrm{I}_{1} \mathrm{I}_{2}}}{2\left(\mathrm{I}_{1}+\mathrm{I}_{2}\right)}$

$=\frac{2 \sqrt{\mathrm{I}_{1} \mathrm{I}_{2}}}{\left(\mathrm{I}_{1}+\mathrm{I}_{2}\right)}$

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