A man 160 cm high stands in front of a plane mirror. His eyes are at a height of 150 cm from the floor. Then the minimum length of the plane mirror for him to see his full length image is
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Solution
The minimum length of the mirror is half the length of the man. This can be proved from the fact that ∠i = ∠r.
A vessel is half filled with a liquid of refractive index m. The other half of the vessel is filled with an immiscible liquid of refrative index 1.5 m. The apparent depth of the vessel is 50% of the actual depth.Then m is
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Solution
An air bubble in glass slab (m= 1.5) from one side is 6 cm and from other side is 4 cm.The thickness of glass slab is
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Solution
A glass slab of thickness 4 cm contains the same number of waves as 5 cm of water when both are traversed by the same monochromatic light. If the refractive index of water is 4/3,what is that of glass?
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Solution
Light passes through a glass plate of thickness d and refractive index m. For small angle of incidence i, the lateral displacement is
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Solution
A rectangular block of glass is placed on a mark made on the surface of the table and it is viewed from the vertical position of eye. If refractive index of glass be m and its thickness d,then the mark will appear to be raised up by
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Solution
A lamp is hanging along the axis of a circular table of radiusr. At what height should the lamp be placed above the table,so that the illuminance at the edge of the table is 1⁄8 of that at its centre?
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Solution
Two light sources with equal luminous intensity are lying at a distance of 1.2 m from each other. Where should a screen be placed between them such that illuminance on one of its faces is four times that on another face ?
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Solution
A man’s near point is 0.5 m and far point is 3 m. Power of spectacle lenses required for (i) reading purposes, (ii) seeing distant objects, respectively, are
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Solution
A ray incident at 15° on one refracting surface of a prism of angle 60° suffers a deviation of 55°. What is the angle of emergence ?
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Solution
Here, i1 = 15°, A = 60°, δ= 55°, i2= e = ?
As i1 + i2= A + δ
i2= A + δ – i1= 60° + 55° – 15° = 100°.