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Optics
A beam of Monochromatic light of wavelength 582 nm falls normally on a glass wedge with the wedge angle 20'' of arc. If the refractive index of the glass is 1.5, find the number of dark fringes per cm of the wedge length.
Optics
Q: An object is placed at a distance of 25cm from the pole of a convex mirror and a plane mirror is set so that the virtual images formed by the two mirrors don't have any parallax. The plane mirror is 20 cm from the object. The focal length of mirror is
A. 37.5cm
B. 30 cm
C. 75 cm
D. 60 cm
A. 37.5cm
B. 30 cm
C. 75 cm
D. 60 cm
Optics
Determine:
a) The thinnest soap film (n = 1.33) in air that will result in constructive interference for
reflected light of wavelength 656 nm.
b) What is the next thinnest soap film?
c) Your answers to a) and b) assumed that the rays were normal to the interface. Given
the same film thickness: If you looked at the film from increasing angles of incidence,
would the maximally enhanced wavelength be longer, shorter, or does it stay the same?
Explain very briefly, using a diagram.
a) The thinnest soap film (n = 1.33) in air that will result in constructive interference for
reflected light of wavelength 656 nm.
b) What is the next thinnest soap film?
c) Your answers to a) and b) assumed that the rays were normal to the interface. Given
the same film thickness: If you looked at the film from increasing angles of incidence,
would the maximally enhanced wavelength be longer, shorter, or does it stay the same?
Explain very briefly, using a diagram.
Optics
Obtain the conditions for observing maxima and minima in a Young two-slit
interference pattern. Show that these conditions change when a thin transparent
sheet of thickness t and refractive index μ is introduced in the path of one of the
superposing beams.
interference pattern. Show that these conditions change when a thin transparent
sheet of thickness t and refractive index μ is introduced in the path of one of the
superposing beams.
Optics
What would happen to the intensity of light as the angle between the polarizer and the analyzer increases?
Optics
A double slit interference pattern is produced by a parallel beam of light passing
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima.
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima.
Optics
4. a) A plane wave of wavelength 600 nm falls on a long narrow slit of width 0.6 mm.
(i) Calculate the angles of diffraction for the first two minima. (ii) How are these
angles influenced if the width of slit is changed to 0.2 mm? (iii) If a convex lens of
focal length 0.2 m is now placed after the slit, calculate the separation between the
second minima on either side of the central maximum. (10)
4
b) For the arrangement described in 4(a) above, repeat the calculations for the first two
maxima on either side of the central maximum. (5)
c) Use Fresnel construction to discuss diffraction pattern produced by a circular
opaque disc.
(i) Calculate the angles of diffraction for the first two minima. (ii) How are these
angles influenced if the width of slit is changed to 0.2 mm? (iii) If a convex lens of
focal length 0.2 m is now placed after the slit, calculate the separation between the
second minima on either side of the central maximum. (10)
4
b) For the arrangement described in 4(a) above, repeat the calculations for the first two
maxima on either side of the central maximum. (5)
c) Use Fresnel construction to discuss diffraction pattern produced by a circular
opaque disc.
Optics
A double slit interference pattern is produced by a parallel beam of light passing
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima
Optics
A double slit interference pattern is produced by a parallel beam of light passing
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima.
through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the
wavelength of the light used. The distance between the centres of the slits is
1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ),
calculate the separation of two adjacent maxima.
Optics
A spherical black body of diameter 20cm emits radiant energy of a particular temperature T, calculate the temperature if the rate of emission is 192w
