figure shows three equidistant slits illuminated by a monochromatic parallel beam of light. Let `BP_0 -AP_0 = lambda/3` and `Dgtgtlambda`.

(a) Show that d = `sqrt ((2lambdaD)//3)`
(b) Show that the intensity at `P_0` is three times the intensity due to any of the three slits
individually.

Three narrow slits A, B and C are illuminated by a parallel beam of light of wavelength lambda , P is a point on the screen exactly in front of point A. Slit plane is at a distance D from the screen (D gtgt lambda) . It is know that "BP – AP ="(1)/(3) (a) Find d in terms of D and lambda (b) Write the phase difference between waves reaching at P from C and A. (c) If intensity of P due to any of the three slits individu- ally is I_(0) , find the resultant intensity at P.

Figure shows a narrow slit S illuminated b a monochromatic light of wavelength lambda in a double-slit experiment. In the path of the rays reaching the upper slit S_(1) , a tube to length L is interposed in which the index of reflection of the medium varies linearly as shown in figure . The position of the central maximum in the interference pattern on the screen was displaceed by N fringes. Find the value of N in terms of mu_(0) , L and lambda .

A monochromatic light source of wavelength lamda is placed at S. three slits S_(1),S_(2) and S_(3) are equidistant from the source S and the point P on the screen S_(1)P-S_(2)P=lamda//6 and S_(1)P-S_(3)P=2lamda//3 . if I be the intensity at P when only one slit is open the intensity at P when all the three slits are open is-

Consider the situation shown in figure-6.35. The two slits S_(1) and S_(2) placed symmetrically around the central line are illuminated by a monochromatic light of wavelength lambda . The separation between the slits is d. The light transmitted by the slits falls on a screen E_(1) placed at a distance D from the slits. The slit S_(3) is at the central line and the slit S_(4) is at a distance z from S_(3) . Another screen E_(2) is placed a further distance D away from E_(1) . Find the ratio of the maximum to minimum intensity observed on E_(2) if z is equal is : (a) (lambdaD)/(2d) " "(b) (lambdaD)/(d)" " (c )(lambdaD)/(4d)

A Young's double slit experiment uses a monochromatic light of wavelength lambda . The intensity of each slit is same and is equal to I_(0) . What will be the resultant intensity at a point where waves interfere at a path difference of (lambda)/2 ?

In a Young's double slit set up using monochromatic light of wavelength lambda the intensity of light at a point, where path difference is 2lambda is found to be I_(0) What will be the intensity at a point when path different is lambda//3 ?

There are three forces F_(1) , F_(2) and F_(3) acting on a body , all acting on a point P on the body . The body is found to move with uniform speed. (a) Show that the forces are coplanar. (b) Show that the torque acting on the body about any point due to these three forces is zero.