A compound microscope has an objective lens of focal length \(1~\text{cm},\) a tube length of \(20~\text{cm},\) and forms a magnified virtual image \(25~\text{cm}\) from the eyepiece; if its total magnification is \(100,\) the focal length of the eyepiece is:
1. \(3\) cm
2. \(6.25\) cm
3. \(10\) cm
4. \(15\) cm
Given below are two statements
| 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. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | (A) is false but (R) is true. |