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Plane wave fronts are incident on a spherical mirror as shown in the figure. The reflected wave fronts will be

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The correct answer is:


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    In the figure an arrangement of young's double slit experiment is shown. A parallel beam of light of wavelength blank to the power of ´ end exponent lambda to the power of ´ end exponent (in medium n subscript 1 end subscript ) is incident at an angle blank to the power of ´ end exponent theta to the power of ´ end exponentas shown. Distance S subscript 1 end subscript O equals S subscript 2 end subscript O. Point 'O' is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index n subscript 1 end subscript and n subscript 2 end subscript respectively. Distance between the slits is d. The distance between the screen and the plane of slits is D Using D equals 1 m comma d equals 1 m m comma theta equals 30 to the power of ring operator end exponent comma lambda equals 0.3 m m comma n subscript 1 end subscript equals fraction numerator 4 over denominator 3 end fraction comma n subscript 2 end subscript equals fraction numerator 10 over denominator 9 end fraction comma answer the following

    The y-coordinate of the point where the total phase difference between the interefering waves is zero, is

    In the figure an arrangement of young's double slit experiment is shown. A parallel beam of light of wavelength blank to the power of ´ end exponent lambda to the power of ´ end exponent (in medium n subscript 1 end subscript ) is incident at an angle blank to the power of ´ end exponent theta to the power of ´ end exponentas shown. Distance S subscript 1 end subscript O equals S subscript 2 end subscript O. Point 'O' is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index n subscript 1 end subscript and n subscript 2 end subscript respectively. Distance between the slits is d. The distance between the screen and the plane of slits is D Using D equals 1 m comma d equals 1 m m comma theta equals 30 to the power of ring operator end exponent comma lambda equals 0.3 m m comma n subscript 1 end subscript equals fraction numerator 4 over denominator 3 end fraction comma n subscript 2 end subscript equals fraction numerator 10 over denominator 9 end fraction comma answer the following

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    Statement–1: Two point coherent sources of light S1 and S2 are placed on a line as shown. P and Q are two points on that line. If at point P maximum intensity is observed then maximum intensity should also be observed at Q

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    Statement–2: In the figure of statement 1, the distance |S1 P – S2 P| is equal to distance |S2Q – S1Q|.

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    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:

    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:

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    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:

    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:

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    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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    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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