What is the intensity ratio of the used light sources if intensity ratio of the maxima and minima in an interference pattern produced by these sources is 9:1

Question

What is the intensity ratio of the used light sources if intensity ratio of the maxima and minima in an interference pattern produced by these sources is 9:1 (A) 3:1 (B) 4:1 (C) 9:1 (D) 10:1

Tardigrade Admin · Accepted Answer

(Im a x/Im a x)=((A + B)2/(A - b)2) ∴ (9/1)=((A + B)2/(A + B)2)or(3/1)=(A + B/A - B) Or 2A=4B Longrightarrow (A/B)=2 ∴ (I1/I2)=(A2/B2)=(4/1)

Q. What is the intensity ratio of the used light sources if intensity ratio of the maxima and minima in an interference pattern produced by these sources is $9 : 1$

$3 : 1$

$4 : 1$

$9 : 1$

$10 : 1$

$\frac{I _{ma x}}{I _{ma x}} = \frac{( A + B ) ^{2}}{( A - b ) ^{2}}$
$∴ \frac{9}{1} = \frac{( A + B ) ^{2}}{( A + B ) ^{2}} or \frac{3}{1} = \frac{A + B}{A - B}$
Or $2 A = 4 B ⟹ \frac{A}{B} = 2$
$∴ \frac{I _{1}}{I _{2}} = \frac{A ^{2}}{B ^{2}} = \frac{4}{1}$

Q. What is the intensity ratio of the used light sources if intensity ratio of the maxima and minima in an interference pattern produced by these sources is 9:1

3:1

4:1

9:1

10:1