Direction of the first secondary maximum in the Fraunhofer diffraction pattern at a single slit is given by (*a* is the width of the slit)

(1) $a\mathrm{sin}\theta =\frac{\lambda}{2}$

(2) $a\mathrm{cos}\theta =\frac{3\lambda}{2}$

(3) $a\mathrm{sin}\theta =\lambda $

(4) $a\mathrm{sin}\theta =\frac{3\lambda}{2}$

Concept Questions :-

Diffraction

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A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the edges of the slit is

(1) $0$

(2) $\frac{\pi}{2}$

(3) $\pi $

(4) 2$\pi $

Concept Questions :-

Diffraction

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A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 *mm*. The light is focused by a convex lens on a screen placed on the focal plane. The first minimum will be formed for the angle of diffraction equal to

(1) 0^{o}

(2) 15^{o}

(3) 30^{o}

(4) 60^{o}

Concept Questions :-

Diffraction

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In the far field diffraction pattern of a single slit under polychromatic illumination, the first minimum with the wavelength ${\lambda}_{1}$ is found to be coincident with the third maximum at ${\lambda}_{2}$. So

(1) $3{\lambda}_{1}=0.3{\lambda}_{2}$

(2) $3{\lambda}_{1}={\lambda}_{2}$

(3) ${\lambda}_{1}=3.5{\lambda}_{2}$

(4) $0.3{\lambda}_{1}=3{\lambda}_{2}$

Concept Questions :-

Diffraction

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The angle of polarisation for any medium is 60^{o}, what will be critical angle for this

(1) ${\mathrm{sin}}^{-1}\sqrt{3}$

(2) ${\mathrm{tan}}^{-1}\sqrt{3}$

(3) ${\mathrm{cos}}^{-1}\sqrt{3}$

(4) ${\mathrm{sin}}^{-1}\frac{1}{\sqrt{3}}$

Concept Questions :-

Polarization of light

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A beam of light *AO* is incident on a glass slab (μ = 1.54) in a direction as shown in figure. The reflected ray *OB* is passed through a Nicol prism on viewing through a Nicole prism, we find on rotating the prism that

(1) The intensity is reduced down to zero and remains zero

(2) The intensity reduces down some what and rises again

(3) There is no change in intensity

(4) The intensity gradually reduces to zero and then again increases

Concept Questions :-

Polarization of light

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In the propagation of electromagnetic waves, the angle between the direction of propagation and plane of polarisation is

(1) 0^{o}

(2) 45^{o}

(3) 90^{o}

(4) 180^{o }

Concept Questions :-

Polarization of light

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A light has amplitude *A* and the angle between analyzer and polariser is 60°. Light reflected by analyzer has amplitude

(1) $A\sqrt{2}$

(2) $A/\sqrt{2}$

(3) $\sqrt{3}A/2$

(4) *A*/2

Concept Questions :-

Polarization of light

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Light passes successively through two polarimeters tubes each of length 0.29*m*. The first tube contains dextro rotatory solution of concentration 60*kgm*^{–3} and specific rotation 0.01*rad m*^{2}*kg*^{–1}. The second tube contains laevo rotatory solution of concentration 30*kg*/*m*^{3} and specific rotation 0.02 *radm*^{2}*kg*^{–1}. The net rotation produced is** **

(1) 15°

(2) 0°

(3) 20°

(4) 10°

Concept Questions :-

Polarization of light

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Unpolarized light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the final transmitted light is one-third the maximum intensity of the first transmitted beam?

$Given:\phantom{\rule{0ex}{0ex}}\mathrm{cos}{75}^{0}=0.26\phantom{\rule{0ex}{0ex}}\mathrm{cos}{57}^{0}=0.57\phantom{\rule{0ex}{0ex}}\mathrm{cos}{35}^{0}=0.82\phantom{\rule{0ex}{0ex}}\mathrm{cos}{15}^{0}=0.96\phantom{\rule{0ex}{0ex}}$

(1) 75°

(2) 55°

(3) 35°

(4) 15°

Concept Questions :-

Polarization of light

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