Ray Optics and Optical Instruments-Quiz-17

RAY OPTICS AND OPTICAL INSTRUMENTS QUIZ-17

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. An object 15 cm high is placed 10 cm from the optical centre of a thin lens. Its image is formed 25 cm from the optical center on the same side of the lens as the object. The height of the image is

•  2.5 cm
•  0.2 cm
•  16.7 cm
•  37.5 cm

Solution

Q2. Consider an equiconvex lens of radius of curvature R and focal length f. If f > R, the refractive index μ of the material of the lens

•  Is greater than zero but less than 1.5
•  Is greater than 1.5 but less than 2.0
•  Is greater than 1 but less than 1.5
•  None of these

Solution

Q3. The velocity of light in a medium is half its velocity in air. If a ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is

•  15°
•  30°
•  45°
•  60°

Solution

Q4. 

•  θ₂ also increases slightly
•  θ₂ is unchanged
•  θ₂ decreases slightly
•  θ₂ changes abruptly, since the ray experiences total internal reflection

Solution

Q5. A spherical surface of radius of curvature R separates air (refractive index 1.0) from glass (refractive index 1.5). The centre of curvature is in the glass. A point object P placed in air is found to have a real image Q in the glass. The line PQ cuts the surface at a point O, and PO=OQ. The distance PO is equal to

•  5 R
•  3 R
•  2 R
•  1.5 R

Solution

Q6. A ray of light travelling in glass ( μ = 3/2 ) is incident on a horizontal glass-air surface at the critical angle θ_C. If a thin layer of water ( μ = 4/3 ) is now poured on the glass-air surface, the angle at which the ray emerges into air at the water-air surface is

•  60°
•  45°
•  90°
•  180°

Solution

Q7. Consider an equiconvex lens of radius of curvature R and focal length f. If f>R, the refractive index μ of the material of the lens

•  Is greater than zero but less than 1.5
•  Is greater than 1.5 but less than 2.0
•  Is greater than 1.0 but less than 1.5
•  None of these

Solution

Q8. If a prism having refractive index √2 has angle of minimum deviation equal to the angle of refraction of the prism, then the angle of refraction of the prism is

•  30°
•  45°
•  60°
•  90°

Solution

Q9. A car is fitted with a convex mirror of focal length 20 cm. A second car 2 m broad and 1.6 m high is 6 m away from the first car. The position of the second car as seen in the mirror of the first car is

•  19.35 cm
•  17.45 cm
•  21.48 cm
•  5.49 cm

Solution

Q10. A small piece of wire bent into an L shape, with upright and horizontal portions of equal lengths, is placed with the horizontal portion along the axis of the concave mirror whose radius of curvature is 10 cm. If the bent is 20 cm from the pole of the mirror, then the ratio of the lengths of the images of the upright and horizontal portions of the wire is

The final image is virtual,formed at 25 cm to left of the vertex of surface S_4
•  1 : 2
•  3 : 1
•  1 : 3
•  2 : 1

Solution