Two waves having the intensities in the ratio 9: 1 produce interference. The ratio of maximum to minimum intensity is equal to

Question

Two waves having the intensities in the ratio 9: 1 produce interference. The ratio of maximum to minimum intensity is equal to (A) 10: 8 (B) 9: 1 (C) 4: 1 (D) 2: 1

Tardigrade Admin · Accepted Answer

As, (I1/I2)=(a2/b2)=(9/1) ∴ (a/b)=(3/1) ⇒ (I max /I min )=((a +b)2/(a-b)2)=((3+1/3-1))2=4: 1

Q. Two waves having the intensities in the ratio $9 : 1$ produce interference. The ratio of maximum to minimum intensity is equal to

10 : 8

9 : 1

4 : 1

2 : 1

As, $\frac{I _{1}}{I _{2}} = \frac{a ^{2}}{b ^{2}} = \frac{9}{1}$
$∴ \frac{a}{b} = \frac{3}{1}$
$\Rightarrow \frac{I _{m a x}}{I _{m i n}} = \frac{( a + b ) ^{2}}{( a - b ) ^{2}} = (\frac{3 + 1}{3 - 1})^{2} = 4 : 1$

Q. Two waves having the intensities in the ratio 9:1 produce interference. The ratio of maximum to minimum intensity is equal to