Verified Solution • 2025–26 Session moderate

QJEEM21Ph3d9c: JEE Main 2021 Physics - Class 12 JEEM21Ph3d9c Solution: Given below are two statements : one is labeled as Assertion A…

Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.

Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image.

Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle.

In the light of the above statements, choose the most appropriate answer from the options given below :

Multiple Choice Options

  • A A is true but R is false
  • B A is false but R is true
  • C Both A and R are true and R is the correct explanation of A
  • D Both A and R are true but R is NOT the correct explanation of A

Step-by-Step Verified Solution

The formation of image with simple microscope is shown below.

JEE Main 2021 (Online) 26th February Evening Shift Physics - Geometrical Optics Question 134 English Explanation 1

JEE Main 2021 (Online) 26th February Evening Shift Physics - Geometrical Optics Question 134 English Explanation 2

Here, θ′=hu0=h′D=h′25\theta ' = {h \over {{u_0}}} = {{h'} \over D} = {{h'} \over {25}}

where, D = 25 cm (least distance of distinct vision)

Here, θ\theta ' is same for both object and image, hence Assertion is true.

Magnification, m=θ′θ=Du0m = {{\theta '} \over \theta } = {D \over {{u_0}}}

Hence, if u0 < D (25 cm), hence, the value of θ\theta ' will obtain large.

So, option (c) is the correct.

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