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A Simple Microscope is Rated 5 X for a Normal Relaxed Eye. What Will Be Its Magnifying Power for a Relaxed Farsighted Eye Whose Near Point is 40 Cm? - Physics

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प्रश्न

A simple microscope is rated 5 X for a normal relaxed eye. What will be its magnifying power for a relaxed farsighted eye whose near point is 40 cm?

संक्षेप में उत्तर

उत्तर

For a simple microscope,
Magnification for a normal relaxed eye, m = 5
Least distant of distinct vision, D = 25 cm
Now,
Let the focal length be f.
The image will form at infinity, as the eye is relaxed.
The magnifying power  (m) of a simple microscope in normal adjustment is given by

`m =D/f`

`=> 5 = 25/f`

⇒ f= 5 cm

For the relaxed far-sighted eye, D = 40 cm.
Magnification (m):

`m=D/f =40/5 =8`

The magnifying power for a simple microscope is 8X.

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अध्याय 19: Optical Instruments - Exercise [पृष्ठ ४३२]

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एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
अध्याय 19 Optical Instruments
Exercise | Q 5 | पृष्ठ ४३२

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