Home
Class 12
PHYSICS
Figure shows two coherent sources S(1) a...

Figure shows two coherent sources `S_(1)` and `S_(2)` vibrating in same phase. AB in an irregular wire lying at a far distance from the sources `S_(1)` and `S_(2). `Let `(lambda)/(d) = 10^(-3) /_ BOA = 0.12^(@)`. How many bright spots will be seen on the wire, including points A and B?

Text Solution

Verified by Experts

The correct Answer is:
3
Say `'n'` fringes are present in the region shown by `'y'`
`rArr y=nbeta =(nlambdaD)/(d)`
`rArr (y)/(D) approx tan (0.06^(@)) approx (0.06xxpi)/(180)=(nlambda)/(d)`
`rArr n =(10^(3)xxpi)/(180)xx0.06=(pi)/(3) gt 1.`
Hence, only one maxima above and below point `O.` So total `3` bright spots will be present (including point `'O'i.e.` the central maxima).
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-3)|5 Videos

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-4)|8 Videos

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-1)|10 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

Similar Questions

Explore conceptually related problems

Figure shows two coherent sources S_(1)-S_(2) vibrating in same phase. AB is an irregular wire lying at a far distance from the sources S_(1) and S_(2) . Let (lamda)/d=10^(-3)m,/_BOA=0.12^(@) . How many bright spots will be seen on the wire, including points A and B

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

Knowledge Check

  • In the case of light waves from two coherent sources S_(1) and S_(2) , there will be constructive interference at an arbitrary point P, the path difference S_(1)P - S_(2)P is

    A
    `(n+(1)/(2))lambda`
    B
    `n lambda`
    C
    `(n- (1)/(2))lambda`
    D
    `(lambda)/(2)`

    • Similar Questions

    Explore conceptually related problems

    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

    Two coherent sources S_1" and "S_2 produce interference fringes. If a thin mica plate is introduced in the path of light from S_(1) then the central maximum

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

    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) 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. .

    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?

    Home
    Profile