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Following figures shows sources S1 and S...

Following figures shows sources `S_1` and `S_2` that emits light of wavelength `lambda` in all directions. The sources are exactly in phase and are separated by a distance equal to `1.5lambda`. If we start at the indicated start point and travel along path 1 and 2, the interference produce a maxima all along

A

Path 1

B

Path 2

C

Any path

D

None of these

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The correct Answer is:
A
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Figure shows two point sources S_1 and S_2 that emit sound of wavelength lamda = 3.00 m. The emissions are isotropic and in phase, and the separation between the sources is d = 16.0 m. At any point P on the x axis, the wave from S_1 and the wave from S_2 interfere. When P is very far away ( x ~~ 0) , what are (a) the phase difference between the arriving waves from S_1 and S_2 and (b) the type of interference they produce? Now move point P along the x axis toward S_1 . (c ) Does the phase difference between the waves increase or decrease? At what distance x do the waves have a phase difference of (d) 0.50lamda,( e) 1.00lamda , and (f) 1.50lamda ?

Two coherent point sources S_1 and S_2 vibrating in phase emit light of wavelength lamda . The separation between them is 2lamda . The light is collected on a screen placed at a distance Dgt gt lamda from the slit S_1 as shown. The minimum distance, so that intensity at P is equal to the intensity at O

Knowledge Check

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

    A
    (a) Their phase differences remain constant
    B
    (b) Their phases are distributed randomly
    C
    (c) Their light intensities remain constant
    D
    (d) Their light intensities change randomly

  • Two coherent point sources S_1 and S_2 vibrating in phase emit light of wavelength lamda The separation between the sources is 2lamda . The smallest distance from S_2 on a line passing through S_2 and perpendicular to S_1S_2 where a minimum intensity occurs is

    A
    `(7lamda)/12`
    B
    `(15lamda)/4`
    C
    `lamda/2`
    D
    `(3lamda)/4`

  • Choose the most appropriate option. Two coherent point sources S_(1) and S_(2) vibrating in phase emit light of wavelength lambda . The separation between them is 2lambda . The light is collected ona screen placed at a distance D gt gt lambda from the slit S_(1) as shown. The minimum distance, so that intensity at P is equal to intensity at O.

    A
    `sqrt(2)D`
    B
    `sqrt(3)D`
    C
    `sqrt(8)D`
    D
    `sqrt(5)D`

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