$A$ compound microscope has an objective of focal length $1.25 \ cm$ and an eyepiece of focal length $5 \ cm$ separated by a distance of $7.5 \ cm$. The total magnification produced by the microscope when the final image forms at infinity is

  • A
    $6.25$
  • B
    $30$
  • C
    $120$
  • D
    $72.5$

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The focal length of the objective and eye lenses of a microscope are $1.6 \, cm$ and $2.5 \, cm$ respectively. The distance between the two lenses is $21.7 \, cm$. If the final image is formed at infinity,what is the linear magnification?

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$(A)$ The objective lens forms a virtual and magnified image.
$(B)$ The objective lens has a very short focal length.
$(C)$ The eyepiece acts as a simple magnifying glass.
$(D)$ The eyepiece is a concave lens.

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