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Question

Which of the following options is correct?

fo is the focal length of the objective lens and fe is the focal length of the eyepiece of a compound microscope.

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Solution

The correct option is **C** The magnification depends on both fo and fe.

We know that,

(i) Magnification of the compound microscope when the final image is formed at the least distance of distinct vision is given by,

m=vo|uo|(1+Dfe)

(ii) Magnification of the compound microscope when the final image is formed at the infinity is given by,

m=vo|uo|(Dfe)

So, from (i) and (ii), we can see that, magnification depends on 1fe.

Also, from lens formula, 1−vouovo=1fo

So, vouo depends on 1fo.

Thus, again from (i) and (ii), magnification depends on 1fo.

Therefore, the magnification depends on both fo and fe.

Hence, option (C) is the correct answer.

We know that,

(i) Magnification of the compound microscope when the final image is formed at the least distance of distinct vision is given by,

m=vo|uo|(1+Dfe)

(ii) Magnification of the compound microscope when the final image is formed at the infinity is given by,

m=vo|uo|(Dfe)

So, from (i) and (ii), we can see that, magnification depends on 1fe.

Also, from lens formula, 1−vouovo=1fo

So, vouo depends on 1fo.

Thus, again from (i) and (ii), magnification depends on 1fo.

Therefore, the magnification depends on both fo and fe.

Hence, option (C) is the correct answer.

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