HARD
JEE Main
IMPORTANT
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At what value of the angle of incidence θ1 is the shaft of light reflected from the surface of water perpendicular to the refracted shaft?

Important Questions on OPTICS

HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.16.
Two optical media have a plane boundary between them. Suppose θ1cr is the critical angle of incidence of a beam and θ1 is the angle of incidence at which the refracted beam is perpendicular to the reflected one (the beam is assumed to come from an optically denser medium). Find the relative refractive indices of these media, if sinθ1crsinθ1=η=1.28.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.17.
A light beam falls upon a plane-parallel glass plate, d=6.0 cm in thickness. The angle of incidence is θ=60°. Find the value of the lateral shift of the beam which passed through that plate.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.18.
A man standing on the edge of a swimming pool looks at a stone lying on the bottom. The depth of the swimming pool is equal to h. At what distance from the surface of the water is the image of the stone formed, if the line of vision makes an angle θ with the normal to the surface?
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.19.
Demonstrate that in a prism with small refracting angle θ, the shaft of light deviates through the angle α≃(n-1)θ regardless of the angle of incidence, provided that the latter is also small.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.20.
A shaft of light passes through a prism with refracting angle θ and refractive index n. Let α be the diffraction angle of the shaft. Demonstrate that if the shaft of light passes through the prism symmetrically,
(a) the angle α is the least;
(b) the relationship between the angles α and θ is defined by sinα+θ2=nsinθ2.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.21.
The least deflection angle of a certain glass prism is equal to its refracting angle. Find the latter assuming the prism made up of glass with η=1.5.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.22.
Find the minimum and maximum deflection angles for a light ray passing through a glass prism with refracting angle θ=60° assuming the refractive index of glass is 1.5.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 5 - OPTICS>PHOTOMETRY AND GEOMETRICAL OPTICS>Q 5.23.
A trihedral prism with refracting angle 60° provides the least deflection angle 37° in air. Find the least deflection angle of that prism in water.Given, sin-1(0.5639)=34.326°.