An optical instrument can be defined as a device that either process light waves to enhance an image for viewing or analyzes light waves to determine one of a number of characteristic properties.
Optical Instruments
A photograph camera consists of a light proof box, at one end of which a converging lens system is fitted. A light-sensitive film is fixed at the other end of the box, opposite to the lens system. A real inverted image of the object is formed on the film by the lens system.
f-Number for a Camera: The f-number represent the size of the aperture.
f-number =Focal length of the lens (F) / Diameter of the lens(d)
Generally 2, 2.8, 4, 5.6, 8, 11, 22, 32 are f-numbers.
The amount of light (L) entering the camera is directly proportional to the area (A) of the aperture, i.e.,
L ∝A∝ d2
Brightness of Image ∝ (d2/f2)
where, d = diameter of the lens and F = focal length of the lens.
Exposure time is the time for which light is incident of photographic film.
It is used for observing magnified images of objects. It is consists of a converging lens of small focal length.
Magnifying Power
(i) When final image is formed at least distance of distinct vision (D), then M=1+d/f
where, f= focal length of the lens.
(ii) When final image is formed at infinity, then M = D/f
It is a combination of two convex lenses called objective lens and eye piece separated by a distance. Both lenses are of small focal lengths but fo < fe, where fo and fe are focal lengths of objective lens and eye piece respectively
Magnifying Power
M = vo / uo {1 + (D/fo)
Where vo= distance of image, formed by objective lens and
uo = distance of object from the objective
(ii) When final image is formed at infinity, then
M = vo/uo . D/fe
It is also a combination of two lenses, called objective lens and eye piece, separated by a distance. It is used for observing distinct images of heavenly bodies like stars, planets etc.
Magnifying Power
(i) When final image is formed at least distance of distinct vision (D), then M = fo/fe {1+ (D/fe)} where fo and fe are focal lengths of objective and eyepiece respectively.
Length of the telescope (L) = (fo + ue)
where, ue = distance of object from the eyepiece.
(ii) When final image is formed at infinity, then M = fo/fe
Length of the telescope (L) = fo + fe
For large magnifying power of a telescope fo should be large and fe should be small.
For large magnifying power of a microscope; fo < fe should be small.
Resolving Power
The ability of an optical instrument to produce separate and clear images of two near by objects, is called its resolving power.
Limit of Resolution
The minimum distance between two near by objects which can be just resolved by the instrument, is called its limit of resolution (d).
Resolving power of a microscope = 1/d = 2 μ sin θ / λ
where, d = limit of resolution, λ = wavelength of light used.
μ = refractive index of the medium between the objects and objective lens and θ = half of the cone angle.
Resolving power of a telescope = 1/dθ = d/1.22 λ
where, dθ = limit of resolution, A = wavelength of light used and
d = diameter of aperture of objective
Aberration of Lenses
The image formed by the lens suffer from following two main drawbacks:-
(i) Spherical Aberration: Aberration of the lens due to which the rays passes through the lens are not focussed at a single and the image of a point object placed on the axis is blurred. called spherical aberration.
It can be reduced by using
(ii) Chromatic Aberration: The image of a white object formed by lens is usually coloured and blurred. This defect of the image produced by lens is called chromatic aberration.
Human eye is an optical instrument which forms real image of the objects on retina.
Retina colours contains lakhs of cone and rod cells which of light and intensities of light respectively.
Ciliary muscles change the focal length of eye lens. This power of eye is called power of accommodation of eye.
Different defects of vision of human eye are described below:
(i) Myopia or Short-Sightedness It is a defect of eye due to which a person can see near by objects clearly but cannot see far away objects clearly.
In this defect, the far point of eye shifts from infinity to a nearer distance.
This defect can be removed by using a concave lens of appropriate power.
(ii) Hypermetropia or Long-Sightedness In this defect, a person can see far away objects clearly but cannot see near by objects clearly.
In this defect the near point of eye shifts away from the eye.
This defect can be removed by using a convex lens of appropriate power.
(iii) Astigmatism- In this defect, a person cannot focus on horizontal and vertical lines at the same distance at the same time.
This defect can be removed by using suitable cylindrical lenses.
(iv) Colour Blindness In this defect, distinguish between few colours. a person is unable to The reason of this defect is the absence few colours. of cone cells sensitive for
This defect cannot be removed.
(v) Cataract In this defect. an opaque white membrane is developed on cornea due to which person lost power of vision partially on completely.
This defect can be removed by removing this membrane through surgery.
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