Light waves each pf amplitude 'a' and frequency `omega` emanating from two coherent light sources superpose at a point. If the displacement due to these waves are given by `y_(1) = a cos omegat` and `y_(2) = a cos (omegat + phi)`, where `phi` is the phase difference between the two, obtain the expression for the resultant intensity at the point.

(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 .

Two waves are given by y_(1) = a sin (omega t - kx) and y_(2) = a cos (omega t - kx) . The phase difference between the two waves is

If x=a sin(omegat+(pi)/6) and x= a cos omegat , then what is the phase difference between the two waves?

Two waves are given by y_(1)=asin(omegat-kx) and y_(2)=a cos(omegat-kx) . The phase difference between the two waves is -

Two waves are represented by Y_1=a_1 cos (omegat-kx) and Y-2 =a_2 sin (omegat-kx+pi//3) Then the phase difference between them is-

Two SHMs are respectively represented by y_(1)=a sin (omegat-kx) and y_(2)=b cos(omegat-kx) . The phase difference between the two is

Two equations of two SHM y = a sin (omegat-alpha) and y = a cos (omegat-alpha) . The phase difference between the two is

The displacement of two coherent light waves are given by y_(1)=a_(1)cosomegat and y_(2)=a_(2)cos(pi//2-omegat) . The resultant intensity is given by