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Physics Part-II

Ray Optics and Optical Instruments

A person with a normal near point (25 cm) using a compound mic

Physics Part-II

Class 12

NCERT

Chapter 1: Ray Optics and Optical Instruments

41 questions

A compound microscope consists of an objective lens of focal length

2.0 c m

and an eyepiece of focal length

6.25 c m

separated by a distance of

15 c m

. How far from the objective should an object be placed in order to obtain the final image at:
(a) the least distance of distinct vision

(25 c m)

, and
(b) at infinity? What is the magnifying power of the microscope in each case?

A person with a normal near point (25 cm) using a compound microscope with objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm can bring an object placed at 9.0 mm from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope.

A small telescope has an objective lens of focal length 144cm and an eyepiece of focal length 6.0 cm. What is the magnifying power of the telescope? What is the separation between the objective and the eyepiece?

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Medium

Solving time: 5 mins

A person with a normal near point (25 cm) using a compound microscope with objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm can bring an object placed at 9.0 mm from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope.

Name: Video solution 2: [Solved] A person with a normal near point (25 cm) using a compound microscope with objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm can bring an object placed at 9.0 mm from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope. - Physics Part-II
Uploaded: 2023-01-29T05:57:40.000Z
Duration: 11 min
Description: Video solution 2: [Solved] A person with a normal near point (25 cm) using a compound microscope with objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm can bring an object placed at 9.0 mm from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope. - Physics Part-II

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Updated on: Dec 14, 2023

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Text solutionVerified

Focal length of the objective lens,

f_{o} = 8 mm = 0.8 c m

Focal length of the eyepiece

, f_{e} = 2.5 c m

Object distance for the objective lens,

μ_{o} = - 9 mm = - 0.9 c m

Least distance of distant vision

d = 25 c m

Image distance for the eyepiece,

v_{e} = - d = - 25 c m

Object distance for the eyepiece =

u_{e}

Using the lens formula, we can obtain the value of

u_{e}

\frac{1}{v _{e}} - \frac{1}{u _{e}} = \frac{1}{f _{e}}

\frac{1}{- 25} - \frac{1}{u _{e}} = \frac{1}{2.5}

So,

u_{e} = - 2.27 c m

We can also obtain the value of the image distance for the objective lens

v_{o}

using the lens formula.

\frac{1}{v _{o}} - \frac{1}{u _{o}} = \frac{1}{f _{o}}

\frac{1}{v _{o}} - \frac{1}{- 0.9} = \frac{1}{0.8}

v_{o} = 7.2 m

Distance between the objective lens and the eye piece is

∣ u_{e} ∣ + v_{o}

so separation is

2.27 + 7.2 = 9.47 c m

The magnifying power of the microscope is calculated as

m = \frac{v _{o}}{∣ u _{o} ∣} (1 + d / f_{e})

\Rightarrow \frac{7.2}{0.9} (1 + \frac{25}{2.5}) = 88

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Practice more questions from Physics Part-II (NCERT)

A compound microscope consists of an objective lens of focal length

2.0 c m

and an eyepiece of focal length

6.25 c m

separated by a distance of

15 c m

. How far from the objective should an object be placed in order to obtain the final image at:
(a) the least distance of distinct vision

(25 c m)

, and
(b) at infinity? What is the magnifying power of the microscope in each case?

View all

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Question Text	A person with a normal near point (25 cm) using a compound microscope with objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm can bring an object placed at 9.0 mm from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope.
Updated On	Dec 14, 2023
Topic	Ray Optics and Optical Instruments
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	310
Avg. Video Duration	9 min

Text solutionVerified

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