1. Tardigrade
  2. Question
  3. Physics
  4. Two coherent sources of equal intensity produce maximum intensity of 100 units at a point. If the intensity of one of the sources is reduced by 36 % reducing its width, then the intensity of light at the same point will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two coherent sources of equal intensity produce maximum intensity of 100 units at a point. If the intensity of one of the sources is reduced by $36 \%$ reducing its width, then the intensity of light at the same point will be

Wave Optics

Solution:

Intensity of each source $=I_{0}=\frac{100}{4}=25$ unit
If the intensity of one of the source is reduced by $36 \%$ then $I_{1}=25$ unit and
$I_{2}=25-25 \times \frac{36}{100}=16($ unit $)$
Hence resultant intensity at the same point will be
$I=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}}$
$=25+16+2 \sqrt{25 \times 16}=81$ unit