1.

Two waves having intensities in the ratio 9:1 produce interference. What will be the ratio of intensity of maximumto minima ?

Answer»

Solution :LET `I_1` and `I_2` be the INTENSITIES of two BEAMS having amplitudes `a_1` and `a_2.`
`I_1/I_2=9/1`
But,`I_1/I_2=a_1^2/a_2^2 `
`therefore a^2_1/a_2^2=9/1` or, `a_1/a_2=3/1`
If `a_max` and `a_min` are the amplitudes are MAXIMA and minima.
`a_max/a_min =a_1+a_2/a_1-a_2=3+1/3-1=4/2=2/1`
`I_max/I_min=a^2_max/a^2_min=4/1`


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