Two sources with intensity `I_(0)` and `4I_(0)` respectively, interfere at a point in a medium. Find the ratio of (i) maximum and minimum possible int

Question

Two sources with intensity `I_(0)` and `4I_(0)` respectively, interfere at a point in a medium. Find the ratio of (i) maximum and minimum possible int

Two sources with intensity `I_(0)` and `4I_(0)` respectively, interfere at a point in a medium. Find the ratio of
(i) maximum and minimum possible intensities,
(ii) ratio of amplitudes

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Maximum intensity `I_(max)=(sqrt(I_(1))+sqrtI_(2))^(2)`
Here, `I_(1)=I_(0) and I_(2)=4I_(0)`
`:.I_(max)=(sqrt(I_(0))+sqrt(4I_(0)))^(2)=9I_(0)`
and minimum intensity, `I_(min)=(sqrt(I_(1))-sqrtI_(2))^(2)=I_(0)`
`rArr(I_(max))/I_(min)=(9I_(0))/I_(0)=9:1`
(ii) Ratio of intensities, `(I_(max))/(I_(min))=((r+1)/(r-1))^(2)`
where, r=ratio of amplitudes
`rArr9/1=((r+1)/(r-1))^(2)rArr3=(r+1)/(r-1)`
`rArr3r-3=r+1 rArr2r=4 rArr=2:1`