MEDIUM
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An object in a denser medium when viewed from a rarer medium appears to be raised. The shift is maximum for :

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Important Questions on Light

HARD

A small coin is fixed at the center of the base of an empty cylindrical steel container having radius R=1 m and height d=4 m. At time t=0 s, the container starts getting filled with water at a flowrate of Q=0.1 m3/s without disturbing the coin. Find the approximate time when the coin will first be seen by the observer "O" from the height of H=5.75 m above and L=1.5 m radially away from the coin as shown in the figure. Refractive index of water is n=1.33.

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EASY

A diver, 30 m below water surface is trying to shine a torch light towards the point O which is horizontally 30 m away. The amount and direction in which diver has to swim (in the figure) so that the light can not travel outside the surface of water is (Refractive index of water =43)

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EASY
To a fish under water, viewing obliquely a fisher-man standing on the bank of a lake, does appear as
MEDIUM
A ray of light falls normally on a rectangular glass slab. Draw a ray diagram showing the path of the ray till it emerges out of the slab.
 
HARD
The angles of incidence and refraction of a monochromatic ray of light of wavelength λ at an air-glass interface are i and r, respectively. A parallel beam of light with a small spread δλ in wavelength about a mean wavelength λ is refracted at the same air-glass interface. The refractive index μ of glass depends on the wavelength λ as μλ=a+bλ2 where a and b are constants. Then the angular speed in the angle of refraction of the beam is
EASY
A converging lens forms a real image I on its optic axis. A rectangular glass slab of refractive index μ and thickness t is introduced between the lens and the image I. The image I will move
HARD
A glass beaker is filled with water up to 5 cm. It is kept on top of a 2 cm thick glass slab. When a coin at the bottom of the glass slab is viewed at the normal incidence from above the beaker, its apparent depth from the water surface is d. Value of d is close to (the refractive indices of water and glass are 1.33 and 1.5, respectively)
MEDIUM
Depth of a completely filled well is 11 m and refractive index of water is 1.33. If viewed normally from the top, by how much height would the bottom of the well appears to be shifted up?
HARD
A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2>n1,  as shown in the figure. A ray of light is incident with angle θi from medium 1 and emerges in medium 2 with refraction angle θf with a lateral displacement l . Which of the following statement(s) is (are) true?
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MEDIUM
A vessel of depth 2h is half filled with a liquid of refractive index 22 and the upper half with another liquid of refractive index 2 . The liquids are immiscible. The apparent depth of the inner surface of the bottom of the vessel will be
MEDIUM
A pond appears to be 2.7 m deep. If the refractive index of water is 43, find the actual depth of the pond.
HARD
A girls sees through a circular glass slab (refractive index 1.5) of thickness 20 mm and diameter 60 cm to the bottom of a swimming pool. The refractive index of water is 1.33. The bottom surface of the slab is in contact with the water surface.
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The depth of the swimming pool is 6 m. The area of the bottom of the swimming pool that can be seen through the slab is approximate-
MEDIUM

Complete the path of the ray AB through the glass prism in PQR till it emerges out of the prism. Given the critical angle of the glass as 42°.

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EASY
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water μ=43 into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled ?
EASY

The position of fish in a pond is not same as it is observed from outside. Why? Explain with diagram.

MEDIUM

In the case of refraction, if the angle of incidence and the angle of refraction are 45and 30, respectively, then what will be the angle of deviation?

MEDIUM

The refractive index of a medium with respect to air is 2. If the angle of incidence of a ray of light in air is 45 determine the angle of deviation for that ray in case of refraction.

EASY
A beaker contains oil upto a height of 28 mm and water upto height of 26 mm. Find the apparent shift in position of the bottom of the beaker when viewed from the top nwater =1.33, noil=1.4
HARD

A cubical vessel has opaque walls. An observer (dark circle in the figure below) is located, such that she can see only the wall, CD, but not the bottom. Nearly to what height should water be poured, so that she can see an object placed at the bottom at a distance of, 10 cm, from the corner, C? Refractive index of water is, 1.33.

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MEDIUM
A horizontal parallel beam of light passes through a vertical convex lens of focal length, 20 cm and is then reflected by a tilted plane mirror so that it converges to a point I . The distance PI is 10 cm.
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M is a point at which the axis of the lens intersects the mirror. The distance PM is 10 cm. The angle which the mirror makes with the horizontal is,