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Physics-

General

Easy

Question

In an interfrence arrangement similar to Young's double- slit experiment, the slits $S subscript 1 end subscript & S subscript 2 end subscript$ are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0 m and screen is at very large distance from slits. The intensity I(q) is measured as a function of $theta$ , where $theta$ is defined as shown. Screen is at a large distance. If $I subscript 0 end subscript$ is the maximum intensity then I ( $theta$ ) for $0 less or equal than theta less or equal than 90 to the power of ring operator end exponent$ is given by:

$I (θ) = \frac{I_{0}}{2} for θ = 30^{\circ}$
$I (θ) = \frac{I_{0}}{4} for θ = 90^{\circ}$
$I (θ) = I_{0} for θ = 0^{\circ}$
I ( $θ$ ) is constant for all values of $θ$

The correct answer is: $I left parenthesis theta right parenthesis equals fraction numerator I subscript 0 end subscript over denominator 2 end fraction text for end text theta equals 30 to the power of ring operator end exponent$

Related Questions to study

A parallel beam of light $left parenthesis lambda equals 5000 text Å end text right parenthesis$ is incident at an angle $alpha equals 30 to the power of ring operator end exponent$ with the normal to the slit plane in a young’s double slit experiment. Assume that the intensity due to each slit at any point on the screen is $I subscript 0 end subscript$ . Point O is equidistant from $S subscript 1 end subscript & S subscript 2 end subscript$ . The distance between slits is 1mm.

A parallel beam of light $left parenthesis lambda equals 5000 text Å end text right parenthesis$ is incident at an angle $alpha equals 30 to the power of ring operator end exponent$ with the normal to the slit plane in a young’s double slit experiment. Assume that the intensity due to each slit at any point on the screen is $I subscript 0 end subscript$ . Point O is equidistant from $S subscript 1 end subscript & S subscript 2 end subscript$ . The distance between slits is 1mm.

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An interference is observed due to two coherent sources 'A' & 'B' having phase constant zero separated by a distance 4 $lambda$ along the y - axis where $lambda$ is the wavelength of the source. A detector D is moved on the positive x - axis. The number of points on the x - axis excluding the points , $x equals 0 & x equals infinity$ sat which maximum will be observed is

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In the figure shown, a parallel beam of light is incident on the plane of the slits of Young's double slit experiment. Light incident on the slit, $S subscript 1 end subscript$ passes through a medium of variable refractive index $mu equals 1 plus a x$ (where 'X' is the distance from the plane of slits as shown), up to a distance ' $lambda$ ' before falling on $S subscript 1 end subscript$ . Rest of the space is filled with air. If at 'O' a minima is formed, then the minimum value of the positive constant a (in terms of l and wavelength ' $lambda$ ' in air) is:

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