In Young's double slit experiment using monochromatic light of wavelength `lambda`, the intensity of light at a point on the screen where path diff. is `lambda` is `K` units. Find the intensity of light at a point where path difference is `lambda//3`.
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To solve the problem, we need to understand how the intensity of light in Young's double slit experiment is related to the path difference between the two waves arriving at a point on the screen.
### Step-by-step Solution:
1. **Understanding Intensity in Young's Double Slit Experiment**:
The intensity of light at a point on the screen in Young's double slit experiment can be expressed in terms of the path difference (Δx) between the two waves. The formula for intensity (I) is given by:
\[
I = I_0 \cos^2\left(\frac{\pi \Delta x}{\lambda}\right)
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(a) Why are coherent sources necessary to produce a sustained interference pattern ? (b) In Young's double slit experiment using monochromatic light of wavelength lamda , the intensity of light at a point on the screen where path difference is lamda , is K units. Find out the intensity of light at a point where path difference is lamda//3 .
(a) (i) Two independent mono chromatic sources of light cannot produced a sustained interference pattern'. Give reason. (ii) Light waves each of amplitude ''a'' and frequency ''w'', emanating from two coherent light sources superpose at a point. If the displacements due to these waves is given by y_(3)=a cos omega t and y_(2)=a cos(omega t+phi) where phi is the phase difference between the two, obtain the expression for the resultant intensity at the point. (b) In Young's double slit experiment, using monochromatic light of wavelength lambda , the intensity of light at a point on the screen where path difference is lambda , is K units. Find out the intensity of light at a point where path difference is lambda//3 .
In a Young's double slit experiment, using mono-chromatic light of wavelength lambda , the intensity of light at a point on the screen where the path defference is lambda is k units. Find the intensity at a point where the path difference is lambda//3 .
(a) Why are coherent sources necessary to produce a sustained interference pattern ? (b) In Young's double slit experiment using mono-chromatic light of wavelength lambda the intensity of light at a point on the screen where where path difference is lambda, is K units. Find out the intensity of light at a point where path difference is (2lambda)/(3)
In young's double slit experiment using monochromatic light of wavelengths lambda , the intensity of light at a point on the screen with path difference lambda is M units. The intensity of light at a point where path difference is lambda//3 is
A Young's double -slit experiment is performed using monochromatic light of wavelength lambda . The intensity of light at a point on the screen, where the path difference is lambda is K units. The intensity of light at a point where the path difference is lambda/6 is given by (nK)/12 , where n is an integer. The value of n is ____________
