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"A telescope resolves whereas a microscope magnifies." Justify this statement ?
Concept: Optical Instruments >> Telescope
Define its magnifying power and write the expression for it?
Concept: Optical Instruments >> Telescope
A compound microscope uses an objective lens of focal length 4 cm and eyepiece lens of focal length 10 cm. An object is placed at 6 cm from the objective lens. Calculate the magnifying power of the compound microscope. Also calculate the length of the microscope.
Concept: Optical Instruments >> Simple Microscope or a Reading Glass
A giant refracting telescope at an observatory has an objective lens of focal length 15 m. If an eyepiece lens of focal length 1.0 cm is used, find the angular magnification of the telescope. If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is 3.42 × 106 m and the radius of the lunar orbit is 3.8 × 108 m.
Concept: Optical Instruments >> Telescope
Use the mirror equation to show a convex mirror always produces a virtual image independent of the location of the object ?
Concept: Ray Optics - Mirror Formula
Calculate the speed of light in a medium whose critical angle is 30° ?
Concept: Total Internal Reflection
Find the radius of curvature of the convex surface of a plano-convex lens, whose focal length is 0.3 m and the refractive index of the material of the lens is 1.5.
Concept: Power of a Lens
Out of blue and red light which is deviated more by a prism? Give reason.
Concept: Dispersion by a Prism
Give the formula that can be used to determine refractive index of materials of a prism in minimum deviation condition ?
Concept: Dispersion by a Prism
Draw a ray diagram to show the working of a compound microscope. Deduce an expression for the total magnification when the final image is formed at the near point.
In a compound microscope, an object is placed at a distance of 1.5 cm from the objective of focal length 1.25 cm. If the eye piece has a focal length of 5 cm and the final image is formed at the near point, estimate the magnifying power of the microscope.
Concept: Optical Instruments >> Simple Microscope or a Reading Glass
What type of wavefront will emerge from a (i) point source, and (ii) distance light source?
Concept: Refraction at a Spherical Surface and Lenses >> Refraction at Spherical Surfaces
Trace the rays of light showing the formation of an image due to a point object placed on the axis of a spherical surface separating the two media of refractive indices n1 and n2. Establish the relation between the distances of the object, the image and the radius of curvature from the central point of the spherical surface.
Hence derive the expression of the lens maker’s formula.
Concept: Thin Lens Formula
Draw the labelled ray diagram for the formation of image by a compound microscope.
Derive the expression for the total magnification of a compound microscope. Explain why both the objective and the eyepiece of a compound microscope must have short focal lengths.
Concept: Optical Instruments >> Simple Microscope or a Reading Glass
An equilateral glass prism has a refractive index 1.6 in the air. Calculate the angle of minimum deviation of the prism, when kept in a medium of refractive index `4sqrt(2)"/"5.`
Concept: Dispersion by a Prism
How does the angle of minimum deviation of a glass prism vary if the incident violet light is replaced by red light?
Concept: Dispersion by a Prism
For paraxial rays, show that the focal length of a spherical mirror is one-half of its radius of curvature.
Concept: Ray Optics - Mirror Formula
When light travels from an optically denser medium to a rarer medium, why does the critical angle of incidence depend on the colour of light?
Concept: Rarer and Denser Medium
When a wave is propagating from a rarer to a denser medium, which characteristic of the wave does not change and why?
Concept: Rarer and Denser Medium
A point-object is placed on the principal axis of convex spherical surface of radius of curvature R, which separates the two media of refractive indices n1 and n2 (n2>n1). Draw the ray diagram and deduce the relation between the distance of the object (u), distance of the image (v) and the radius of curvature (R for refraction to take place at the convex spherical surface from rarer to denser medium.
Concept: Rarer and Denser Medium
Use the above relation to obtain the condition on the position of the object and the radius of curvature in terms of n1and n2 when the real image is formed.
Concept: Refraction at a Spherical Surface and Lenses >> Refraction at Spherical Surfaces
