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A horizontal parallel beam of light passes through a vertical convex lens of focal length 20 cm and is then reflected by a tilted plane mirror so that it converges to a point I. The distance PI is 10 cm.

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M is a point at which the axis of the lens intersects the mirror. The distance PM is 10 cm. The angle which the mirror makes with the horizontal is

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Important Questions on Geometrical Optics

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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 12
In a car, a rearview mirror having a radius of curvature 1.50 m forms a virtual image of a bus located 10.0 m from the mirror. The factor by which the mirror magnifies the size of the bus is close to
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 13
Monochromatic light passes through a prism. Compares to that in air inside the prism the light's
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 14
The flat face of a plano-convex lens of focal length 10 cm is silvered. A point source placed 30 cm in front of the curved surface will produce a:
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 15
A concave mirror of radius of curvature R has a circular outline of radius r. A circular disk is to be placed normal to the axis at the focus so that it collects all the light that is reflected from the mirror from a beam parallel to the axis. For r<<R, the area of this disc has to be at least
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 16
The angles of incidence and refraction of a monochromatic ray of light of wavelength λ at an air glass interface are i and r, respectively. A parallel beam of light with a small spread δλ in wavelength about a mean wavelength λ is refracted at the same air-glass interface. The refractive index μ of glass depends on the wavelength λ as μλ=a+bλ2 where a and b are constant. Then the angular spread in the angle of refraction of the beam is
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 17
An optical device is constructed by fixing three identical convex lenses of focal lengths 10 cm each inside a hollow tube at an equal spacing of 30 cm each. One end of the device is placed 10 cm away from a point source. How much does the image shift when the device is moved away from the source by another 10 cm?
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 18
An isosceles glass prism with angles 40° is clamped over a tray of water in a position such that the base is just dipped in water. A ray of light incident normally on the inclined face suffers total internal reflection at the base. If the refractive index of water is 1.33 then the condition imposed on the refractive index μ of the glass is
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Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 9 - Geometrical Optics>Exercise#2>Q 19
A point source of light is moving at a rate of 2 cm s-1 towards a thin convex lens of focal length 10 cm along its optical axis. When the source is 15 cm away from the lens the image is moving at