The atmosphere of earth extends upto height H and its refractive index varies with depth y from the top as `mu = 1 + (y)/(H)` . Calculate the apparent thickness of the atmosphere as seen by an observer in space.
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Refractive index of glass for red and violet colours are 1.50 and 1.60, repectively. Find: a. The refractive index for yellow colour, approximately b.
(a) `mu_(Y) = (mu_(Y) + mu_(R))/(2) = (1.50+ 1.60)/(2) = 1.55` (b) `omega = (mu_(Y) + mu_(R))/(mu_(y) - 1) = (1.60+ 1.50)/(1.55 - 1) = 0.18`
2 Answers 1 views
A lens behaves as a converging lens in air and a diverging lens in water. The refractive index of the material is (refractive index of water `=1.33`)
Correct Answer - D Lens changes its behaviour if `R`.`I`. Of surrounding becomes greater than `R`.`I`. Of lens. `mu_("lens")lt1.33`
2 Answers 1 views
A biconcave lens made of transparent material of refractive index `1.25` is immersed in water of refractive index `1.33`. Will the lens behave as a co
`(1)/(f)=((mu_(i))/(mu_(s))-1) [(1)/(R_(1))-(1)/(R_(2))]` For concave lens `[(1)/(R_(1))-(1)/(R_(2))]=-ve` here `=1.25` `s=1.32` Then `((mu_(i))/(mu_(s))-1)=-ve` Then `(1)/(f)rarr(-ve)(-ve)` Thus it will behave like converging lens.
2 Answers 1 views
On a hot summer day in a desert the refractive index of the atmosphere changes with height (y) above the surface of the earth as `mu = m_(0) (1 + by)^
Correct Answer - 100m
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A plano-convex lens has thickness 4cm. When places on a horizontal table with the curved surface in contact with it, the apparent depth of the bottom-
Correct Answer - 75 cm
2 Answers 1 views
A luminous object O is located at the bottom of a big pool of liquid of refractive index `mu` and depth h. The object O emits rays upwards in all dire
Correct Answer - Rays beyond the circle are totally reflected into the liquid, Radius `=(h)/(sqrt(mu^(2)-1))` Area `=(pi h^(2))/(mu^(2)-1)`
2 Answers 3 views
A convex lens of refractive index 1.5 is immersed in a liquid of refractive index (i) 1.6 (ii) 1.3 and (iii) 1.5. what changes happens to the focal le
Correct Answer - (i) - 8f (ii) `+3.25f` (iii) `oo`
2 Answers 1 views
The radii of curvature of each surface of a convex lens is `20 cm` and the refractive index of the material of the lens is `3//2` (i) Calculate its fo
Correct Answer - (i) 20 cm (ii) 40 cm (iii) f remains
2 Answers 1 views
The length of a cuboid is 2 cm more than its height, whereas its breadth is 2 cm less than the height. Its height is equal to the side of a square hav
Correct Answer - 960 `cm^(3)`
2 Answers 3 views
The angle of depression of the top of the tower from the top of a building is `30^(@)` and angle of elevation of the top of the tower from the bottom
Correct Answer - `(20(1+sqrt3))/(sqrt3)m`
2 Answers 1 views