Home
Class 12
PHYSICS
Figure shows two coherent sources S1 and...

Figure shows two coherent sources `S_1 and S_2`which emit sound of wavelength `lamda` in phase. The separation between the sources is `3lamda`. A circular wire at large radius is placed in such a way that `S_1 S_2` lies in its plane and the middle point of `S_1 S_2`, is at the centre of the wire. Find the angular positions 0 on the wire for which constructive interference takes place.

Text Solution

Verified by Experts

The correct Answer is:
(i). `0^(@),60^(@),90^(@),120^(@),180^(@),240^(@),270^(@),300^(@),8`
(ii). `costheta=+-(1)/(8),+-(3)/(8),+-(5)/(8),+-(7)/(8)`

The position of maxima where the path difference between two ways is integral multiple of `lamda`. And position of minima where the path difference between two ways is odd multiple of `lamda//2`
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    ALLEN|Exercise Exercise 4 B (Conceptual subjective Exercise)|8 Videos

  • WAVE OPTICS

    ALLEN|Exercise Exercise 5 A (Previous Years Questions)|17 Videos

  • WAVE OPTICS

    ALLEN|Exercise Exercise 3 (Miscellaneous type Questions)|27 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

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

Similar Questions

Explore conceptually related problems

Two coherent point sources S_(1) and S_(2) vibrating in phase emit light of wavelength lambda . The separation between the sources is 2lambda . Consider a line passing through S_(2) and perpendicular to line S_(1) S_(2) . Find the position of farthest and nearest minima. .

Two coherent point sources S_1 and S_2 emit light of wavelength lambda . The separation between sources is 2lambda . Consider a line passing through S_2 and perpendicular to the line S_(1)S_(2) . What is the smallest distance on this line from S_2 where a minimum of intensity occurs?

Two identical light sources S_1 and S_2 emit light of same wavelength lambda . These light rays will exhibit interference if

Two coherent sources S_(1)" and "S_(2) are separated by a small distance d. The fringes obtained on the screen will be:

Two coherent point sources S_1 " and "S_2 vibrating in phase light of wavelength lambda . The separation between the sources is 2lambda . The smallest distance from S_(2) on a line passing through S_2 and perpendicular to s_(1)s_(2) where a minimum of intensity occurs is

Two coherent point sources S_1 and S_2 are separated by a small distance d as shown. The fringes obtained on the screen will be

Two coherent point sources S_1 and S_2 are separated by a small distance d as shown. The fringes obtained on the screen will be

The coherent point sources S_(1) and S_(2) vibrating in same phase emit light of wavelength lambda . The separation between the sources is 2lambda . Consider a line passingh through S_(2) and perpendicular to the line S_(1)S_(2) . What is the smallest distance from S_(2) where a minimum of intensity occurs due to interference of waves from the two sources?

The coherent point sources S_(1) and S_(2) vibrating in same phase emit light of wavelength lambda . The separation between the sources is 2lambda . Consider a line passing through S_(2) and perpendicular to the line S_(1)S_(2) . What is the smallest distance from S_(2) where a minimum of intensity occurs due to interference of waves from the two sources?

Two coherent point sources S_1 " and "S_2 vibrating in phase light of wavelength lambda . The separation between them is 2lambda as shown in figure. The first bright fringe is formed at .P. due to interference on a screen placed at a distance .D. from S_(1)" "(D gt gt lambda) , then OP is