A light ray enters a solid glass sphere of refractive index \(\mu=\sqrt{3}\) at an angle of incidence \(60^\circ\). The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is:
1. \(30\)
2. \(60\)
3. \(90\)
4. \(180\)

Subtopic:  Refraction at Curved Surface |
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A parallel beam of light is allowed to fall on a transparent spherical globe of diameter \(30~\text{cm}\) and refractive index \(1.5\). The distance from the centre of the globe at which the beam of light can converge is:
1. \(200~\text{mm}\)
2. \(350~\text{mm}\)
3. \(250~\text{mm}\)
4. \(225~\text{mm}\)
Subtopic:  Refraction at Curved Surface |
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Which of the following statement is correct?
 
1. in primary rainbow, observer sees red colour on the top and violet on the bottom.
2. in primary rainbow, observer sees violet colour on the top and red on the bottom.
3. in primary rainbow, light wave suffers total internal reflection twice before coming out of water drops.
4. primary rainbow is less bright than secondary rainbow.

 
Subtopic:  Refraction at Curved Surface |
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An object of height \(h\) is placed in front of a convex mirror (radius of curvature \(=20~\text{cm}\)). The height of the image is:
                     
1. \(h/2\)
2. \(h/3\)
3. \(h/6\)
4. \(h/4\)
Subtopic:  Refraction at Curved Surface |
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Two point objects \(O_{1}\) and \(O_{2}\) are placed on principle axis of the concave mirror of radius of curvature \(40\) cm. The distance between the two images is:
  
1. \(160\) cm
2. \(40\) cm
3. \(100\) cm
4. \(80\) cm
Subtopic:  Refraction at Curved Surface |
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In the given diagram image forms at a distance of \(15~\text{cm}\) inside the medium of refractive index \(1.5.\) Find the object distance (in \(\text{cm}\)) from point \(P.\)
     

1. 15
2. 30
3. 12
4. 10
Subtopic:  Refraction at Curved Surface |
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An point sized object is placed 4 cm from the double convex lens of focal length 8 cm. The change in the position of image, when the object is moved 2 cm towards the lens, is
1. \(8 ~cm\)
2. \({8\over 3} ~cm\)
3. \({16\over 3} ~cm\)
4. \({32\over 3} ~cm\)
Subtopic:  Refraction at Curved Surface |
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For the thin convex lens, the radii of curvature are at 15 cm and 30 respectively. The focal length the lens is 20 cm. The refractive index of the material is :
1. 1.4
2. 1.2
3. 1.5
4. 1.8
Subtopic:  Refraction at Curved Surface |
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Given below are two statements :
Statement I: When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement II: Concave lens always forms a virtual and erect image.
 
In the light of the above statements, choose the correct answer from the options given below: 
1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is false but Statement II is true
4. Statement I is true, but Statement II is false.
Subtopic:  Refraction at Curved Surface |
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