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An opaque sphere of radius a is just immersed in a transparent liquid as shown in figure. A point source is placed on the vertical diameter of the sphere at a distance a/2 from the top of the sphere. One ray originating from the point source after refraction from the air liquid interface forms tangent to the sphere. The angle of refraction for that particular ray is 30°. The refractive index of the liquid is
The correct answer is:
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A glass sphere of index 1.5 and radius 40 cm has half its hemispherical surface silvered. The point where a parallel beam of light, coming along a diameter, will focus (or appear to) after coming out of sphere, will be:
A glass sphere of index 1.5 and radius 40 cm has half its hemispherical surface silvered. The point where a parallel beam of light, coming along a diameter, will focus (or appear to) after coming out of sphere, will be:
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A beam of diameter ‘d’ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to d, then the diameter of the beam at the base of the hemisphere will be:
A beam of diameter ‘d’ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to d, then the diameter of the beam at the base of the hemisphere will be:
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The correct conclusion that can be drawn from these figures is
The correct conclusion that can be drawn from these figures is
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A concave spherical surface of radius of curvature 10cm separates two medium x & y of refractive index 4/3 & 3/2 respectively. If the object is placed along principal axis in medium X then
A concave spherical surface of radius of curvature 10cm separates two medium x & y of refractive index 4/3 & 3/2 respectively. If the object is placed along principal axis in medium X then
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Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other. Two parallel rays of light are incident on this system as shown. The distance of the point where the rays converge from the prism is :
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When a pin is moved along the principal axis of a small concave mirror, the image position coincides with the object at a point 0.5 m from the mirror, refer figure. If the mirror is placed at a depth of 0.2 m in a transparent liquid, the same phenomenon occurs when the pin is placed 0.4 m from the mirror. The refractive index of the liquid is
When a pin is moved along the principal axis of a small concave mirror, the image position coincides with the object at a point 0.5 m from the mirror, refer figure. If the mirror is placed at a depth of 0.2 m in a transparent liquid, the same phenomenon occurs when the pin is placed 0.4 m from the mirror. The refractive index of the liquid is
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A beam of light has a small wavelength spread about a central wavelength . The beam travels in vaccum until it enters a glass plate at an angle relative to the normal to the plate, as shown in figure. The index of refraction of the glass is given by n(). The angular spread dq' of the refracted beam is given by
A beam of light has a small wavelength spread about a central wavelength . The beam travels in vaccum until it enters a glass plate at an angle relative to the normal to the plate, as shown in figure. The index of refraction of the glass is given by n(). The angular spread dq' of the refracted beam is given by
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A parallel sided block of glass of refractive index 1.5 which is 36 mm thick rests on the floor of a tank which is filled with water (refractive index = 4/3). The difference between apparent depth of floor at A & B when seen from vertically above is equal to
A parallel sided block of glass of refractive index 1.5 which is 36 mm thick rests on the floor of a tank which is filled with water (refractive index = 4/3). The difference between apparent depth of floor at A & B when seen from vertically above is equal to
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Look at the ray diagram shown, what will be the focal length of the 1st and the 2nd lens, if the incident light ray passes without any deviation?
Look at the ray diagram shown, what will be the focal length of the 1st and the 2nd lens, if the incident light ray passes without any deviation?
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A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n2. A beam of light is incident on vertical face of the block (see figure). After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle . The value of is given by :
A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n2. A beam of light is incident on vertical face of the block (see figure). After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle . The value of is given by :
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From the figure shown establish a relation between, , , .
From the figure shown establish a relation between, , , .
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An object is placed 20 cm in front of a 4 cm thick plane mirror. The image of the object finally is formed at 45 cm from the object itself . The refractive index of the material of the unpolished side of the mirror is (considering near normal incidence)
An object is placed 20 cm in front of a 4 cm thick plane mirror. The image of the object finally is formed at 45 cm from the object itself . The refractive index of the material of the unpolished side of the mirror is (considering near normal incidence)
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In the figure shown is equal to
In the figure shown is equal to
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A long rectangular slab of transparent medium is placed on a horizontal table with its length parallel to the x-axis and width parallel to the y-axis as shown in the figure. A ray of light travelling in air makes a normal incidence on the slab. The refractive index m of the medium varies as
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The figure shows the path of a ray of light as it passes through three different materials with refractive indices n1, n2 and n3. The figure is drawn to scale. The refractive indices of the material satisfy relation
The figure shows the path of a ray of light as it passes through three different materials with refractive indices n1, n2 and n3. The figure is drawn to scale. The refractive indices of the material satisfy relation
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