Home
Class 12
PHYSICS
Two beams of light havin intensities I a...

Two beams of light havin intensities I and 4I interferer to produce a fringe pattern on a screen. The phase difference between the beam is`(pi)/(2)` at point A and `2pi` at point B. then find out the difference between the resultant intensities at A and B.

Text Solution

Verified by Experts

Resultant intensity `I=I_(1)+I_(2)+2sqrt(I_(1))sqrt(I_(1))cosphi`
Resultant intensity at point A is `I_(A)=I+4I+2sqrt(I)sqrt(4I)cos((pI)/(2))=5I`
Resultant intensity at point `B,I_(B)=I+4I+2sqrt(I)sqrt(4I)cos2pi=9I(becausecos2pi=1)thereforeI_(B)-I_(A)=91-51implies41`
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    ALLEN|Exercise Example 1|1 Videos

  • WAVE OPTICS

    ALLEN|Exercise Example 2|1 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is pi//2 at point A and pi at point B. then the difference between the resultant intensities at A and B is

Two beams of ligth having intensities I and 4I interface to produce a fringe pattern on a screen. The phase difference between the beams is (pi)/(2) at point A and pi at point B. Then the difference between the resultant intensities at A and B is

Two beam of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is (pi)/(2) at point A and pi at point B. Then the difference between resultant intensities at A and B is : (2001 , 2M)

Interference fringes are produced on a screen by using two light sources of intensities / and 9/. The phase difference between the beams pi/2 is at point P and pi at point Q on the screen. The difference between the resultant intensities at point P and Q is

Two coherent sources of light interfere and produce fringe pattern on a screen . For central maximum phase difference between two waves will be

Two coherent waves of intensities I and 4I interfere at a point. If the resultant intensity is 3I, then the phase difference between te two waves at the point is

Two coherent sources produce a dark fringe, when the phase difference between the intefering beams is

In interference of light, a point is bright if the path difference between the two beams arriving at that point is