Question

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled 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 $25cm$ and hence it subtends a large angle. In the light of the above statements, choose the most appropriate answer from the options given below:

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

Answer 1

Answer: (C)

${\theta }^{\prime }=\frac{h}{u_0};{\theta }^{\prime }$ is same for both object and image
$m=\frac{{\theta }^{\prime }}{\theta }=\frac{D}{{\mu }_0}$
$u_0<D$
Hence $m>1$