(a) In young’s double slit experiment, deduce the conditions for obt

1.	(a) In young’s double slit experiment, deduce the conditions for obtaining constructive and destructive interference fringes. Hence, deduce the expression for the fringe width. (b)Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit. (c) What should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm? OR (a) Two thin convex lenses L1and L2 of focal lengths f1andf2 respectively, are placed coaxially in contact. An object is placed at a point beyond the focus of lens L1 . Draw a ray diagram to show the image formation by the combination and hence derive the expression for the focal length of the combined system. (b) A ray PQ incident on the face AB of a prism ABC, as shown in the figure, emerges from the face AC such that AQ = AR Draw the ray diagram showing the passage of the ray through the prism. If the angle of the prism is 600 and refractive index of the material of prism is √3. Determine the angle of incidence and angle of deviation
Answer» (a) In young’s double slit experiment, deduce the conditions for obtaining constructive and destructive interference fringes. Hence, deduce the expression for the fringe width. (b)Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit. (c) What should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm? OR (a) Two thin convex lenses $L_{1}$ and $L_{2}$ of focal lengths $f_{1}$ and $f_{2}$ respectively, are placed coaxially in contact. An object is placed at a point beyond the focus of lens $L_{1}$ . Draw a ray diagram to show the image formation by the combination and hence derive the expression for the focal length of the combined system. (b) A ray PQ incident on the face AB of a prism ABC, as shown in the figure, emerges from the face AC such that AQ = AR Draw the ray diagram showing the passage of the ray through the prism. If the angle of the prism is $60^{0}$ and refractive index of the material of prism is $\sqrt{3}$ . Determine the angle of incidence and angle of deviation

(a) In young’s double slit experiment, deduce the conditions for obtaining constructive and destructive interference fringes. Hence, deduce the expression for the fringe width. (b)Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit. (c) What should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm? OR (a) Two thin convex lenses L1and L2 of focal lengths f1andf2 respectively, are placed coaxially in contact. An object is placed at a point beyond the focus of lens L1 . Draw a ray diagram to show the image formation by the combination and hence derive the expression for the focal length of the combined system. (b) A ray PQ incident on the face AB of a prism ABC, as shown in the figure, emerges from the face AC such that AQ = AR Draw the ray diagram showing the passage of the ray through the prism. If the angle of the prism is 600 and refractive index of the material of prism is √3. Determine the angle of incidence and angle of deviation

Answer»

(a) In young’s double slit experiment, deduce the conditions for obtaining constructive and destructive interference fringes. Hence, deduce the expression for the fringe width.

(b)Show that the fringe pattern on the screen is actually a superposition of slit diffraction from each slit.

(c) What should be the width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern, for green light of wavelength 500 nm, if the separation between two slits is 1 mm?

(a) Two thin convex lenses $L_{1}$ and $L_{2}$ of focal lengths $f_{1}$ and $f_{2}$ respectively, are placed coaxially in contact. An object is placed at a point beyond the focus of lens $L_{1}$ . Draw a ray diagram to show the image formation by the combination and hence derive the expression for the focal length of the combined system.

(b) A ray PQ incident on the face AB of a prism ABC, as shown in the figure, emerges from the face AC such that AQ = AR

Draw the ray diagram showing the passage of the ray through the prism. If the angle of the prism is $60^{0}$ and refractive index of the material of prism is $\sqrt{3}$ . Determine the angle of incidence and angle of deviation

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