Physics-
General
Easy
Question
Three right angled prisms of refractive indices
and
are fixed together using an optical glue as shown in figure. If a ray passes through the prisms without suffering any deviation, then
![](data:image/png;base64,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)
The correct answer is: ![1 plus n subscript 2 end subscript superscript 2 end superscript equals n subscript 1 end subscript superscript 2 end superscript plus n subscript 3 end subscript superscript 2 end superscript](data:image/png;base64,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)
Related Questions to study
physics-
In n similar thin prisms of same material and refractive index are arranged in series as shown :
![](data:image/png;base64,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)
In n similar thin prisms of same material and refractive index are arranged in series as shown :
![](data:image/png;base64,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)
physics-General
physics-
Figure shows the graph of angle of deviation
versus angle of incidence i for a light ray striking a prism. The prism angle is :
![](data:image/png;base64,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)
Figure shows the graph of angle of deviation
versus angle of incidence i for a light ray striking a prism. The prism angle is :
![](data:image/png;base64,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)
physics-General
physics-
A vertical light ray strikes a plane mirror kept inclined at an angle of 45° to the horizontal. The reflected ray is horizontal as shown in fig. A glass prism with refracting angle 6° is placed in the path of the reflected ray. In what way and by how much should the mirror be rotated, if the total deviation of the light ray is to be 90° ?
![](data:image/png;base64,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)
A vertical light ray strikes a plane mirror kept inclined at an angle of 45° to the horizontal. The reflected ray is horizontal as shown in fig. A glass prism with refracting angle 6° is placed in the path of the reflected ray. In what way and by how much should the mirror be rotated, if the total deviation of the light ray is to be 90° ?
![](data:image/png;base64,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)
physics-General
physics-
A fixed cylindrical tank of height H=4 m and area
, is filled up with a liquid. An observer through a telescope fitted at the top of the wall of the tank and inclined at
with the vertical. When the tank is completely filled with liquid, he notices an insect, which is at the centre of the bottom of the tank. At t=0, he opens a cork of area a at the bottom of the tank. The insect moves in such a way that it is visible for a certain time. Find the refractive indexof the liquid
![](data:image/png;base64,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)
A fixed cylindrical tank of height H=4 m and area
, is filled up with a liquid. An observer through a telescope fitted at the top of the wall of the tank and inclined at
with the vertical. When the tank is completely filled with liquid, he notices an insect, which is at the centre of the bottom of the tank. At t=0, he opens a cork of area a at the bottom of the tank. The insect moves in such a way that it is visible for a certain time. Find the refractive indexof the liquid
![](data:image/png;base64,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)
physics-General
physics-
A medium (M) having refractive index 2 is placed in air. Its pole is at origin. A point object at (-10 cm,0) starts moving towards the surface with velocity
at 45° with principal axis. [R=20 cm]
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556744/1/1047187/Picture127.png)
Velocity of image along '
' direction is ___________ ms–1
A medium (M) having refractive index 2 is placed in air. Its pole is at origin. A point object at (-10 cm,0) starts moving towards the surface with velocity
at 45° with principal axis. [R=20 cm]
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556744/1/1047187/Picture127.png)
Velocity of image along '
' direction is ___________ ms–1
physics-General
physics-
The time required for the light to go from A to B, when a ray of light goes from point A in a medium where the speed of light is
to a point
in a medium where the speed of light is
as shown in figure, is:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556743/1/1047186/Picture125.png)
![](data:image/png;base64,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)
The time required for the light to go from A to B, when a ray of light goes from point A in a medium where the speed of light is
to a point
in a medium where the speed of light is
as shown in figure, is:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556743/1/1047186/Picture125.png)
![](data:image/png;base64,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)
physics-General
physics-
It is found that electromagnetic signals sent inside glass sphere from A towards B reach point C. The speed of electromagnetic signals in glass cannot be:
![](data:image/png;base64,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)
It is found that electromagnetic signals sent inside glass sphere from A towards B reach point C. The speed of electromagnetic signals in glass cannot be:
![](data:image/png;base64,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)
physics-General
physics-
In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of
so that light incident normally on the face AB does not cross the face BC is (given ![open s i n to the power of negative 1 end exponent invisible function application left parenthesis 3 divided by 5 right parenthesis equals 37 to the power of ring operator end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of
so that light incident normally on the face AB does not cross the face BC is (given ![open s i n to the power of negative 1 end exponent invisible function application left parenthesis 3 divided by 5 right parenthesis equals 37 to the power of ring operator end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. What is the radius of curvature of the convex mirror?
physics-General
physics-
A long rectangular slab of transparent medium of thickness 'd' placed such a table with its length parallel to the x-axis and width parallel to the y-axis. A ray of light travelling in air makes a near normal
incidence on the slab as shown. Taking the point of incidence as origin (0,0,0). The refraction index
of the medium varies as
, where
and r(>d) are constants. The refractive index of air is 1
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556725/1/1047168/Picture119.png)
The
-coordinate of the point A where the ray intersects the upper surface of the slab air boundary is
A long rectangular slab of transparent medium of thickness 'd' placed such a table with its length parallel to the x-axis and width parallel to the y-axis. A ray of light travelling in air makes a near normal
incidence on the slab as shown. Taking the point of incidence as origin (0,0,0). The refraction index
of the medium varies as
, where
and r(>d) are constants. The refractive index of air is 1
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/556725/1/1047168/Picture119.png)
The
-coordinate of the point A where the ray intersects the upper surface of the slab air boundary is
physics-General
physics-
A point source S is placed midway between two converging mirrors having equal focal length as shown in figure. Find the values of d for which only one image is formed.
![](data:image/png;base64,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)
A point source S is placed midway between two converging mirrors having equal focal length as shown in figure. Find the values of d for which only one image is formed.
![](data:image/png;base64,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)
physics-General
physics-
A U-shaped wire is placed before a concave mirror having radius of curvature 20 cm as shown in figure. Find the total length of the image.
![](data:image/png;base64,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)
A U-shaped wire is placed before a concave mirror having radius of curvature 20 cm as shown in figure. Find the total length of the image.
![](data:image/png;base64,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)
physics-General
physics-
A convex mirror of focal length 10an is shown in the figure. A linear object AB=5 cm is placed along the optic axis. Point
is at a distance of 25 cm from the pole of mirror. The length of image of AB is
![](data:image/png;base64,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)
A convex mirror of focal length 10an is shown in the figure. A linear object AB=5 cm is placed along the optic axis. Point
is at a distance of 25 cm from the pole of mirror. The length of image of AB is
![](data:image/png;base64,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)
physics-General
physics-
A reflecting surface is represented by the equation
A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is
![](data:image/png;base64,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)
A reflecting surface is represented by the equation
A ray travelling horizontally becomes vertical after reflection. The coordinates of the point (s) where this ray is incident is
![](data:image/png;base64,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)
physics-General
physics-
.Two bodies A and B are moving towards a plane mirror with speeds
and
respectively as shown in fig. The speed of image of A respect to the body B is
![](data:image/png;base64,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)
.Two bodies A and B are moving towards a plane mirror with speeds
and
respectively as shown in fig. The speed of image of A respect to the body B is
![](data:image/png;base64,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)
physics-General