In a simple microscope, the lens is held at a distance d from the eye and the image is formed at the least distance (D) of distinct vision from the eye. What is the magnifying power of the microscope?

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Q: 25 (NDA-I/2008)
In a simple microscope, the lens is held at a distance d from the eye and the image is formed at the least distance (D) of distinct vision from the eye. What is the magnifying power of the microscope?

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,5,18,4,5,8,6

keywords: 

{'simple microscope': [0, 0, 1, 0], 'microscope': [0, 0, 1, 0], 'focal length': [1, 0, 5, 7], 'lens': [0, 0, 0, 1], 'lense': [0, 0, 1, 0], 'least distance': [0, 0, 1, 0], 'power': [24, 3, 21, 61], 'eye': [11, 1, 6, 5], 'distinct vision': [0, 0, 1, 0], 'image': [0, 1, 3, 23]}

Option 1: D/f

This option suggests that the magnifying power of the microscope is equal to the ratio of the least distance of distinct vision (D) to the focal length of the lens (f). However, this is not a correct formula for finding the magnifying power.

Option 2: 1 + (D/f)

This is the correct formula for calculating the magnifying power of the simple microscope. It states that the magnifying power is equal to 1 plus the ratio of the least distance of distinct vision (D) to the focal length of the lens (f).

Option 3: 1 + {(D - d)/f}

This option suggests that the magnifying power is equal to 1 plus the ratio of the difference between the least distance of distinct vision (D) and the distance (d) at which the lens is held from the eye, to the focal length of the lens (f). However, this is not the correct formula for calculating the magnifying power.

Option 4: 1 + {(D + d)/f}

This option suggests that the magnifying power is equal to 1 plus the ratio of the sum of the least distance of distinct vision (D) and the distance (d) at which