Question
When are two objects just resolved? Explain. How can the resolving power of a compound microscope be increased? Use relevant formula to support your answer.
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Answer
Two objects are said to be just resolved when, in their diffraction patterns, central maxima of one object coincides with the first minima, of the diffraction pattern of the second object. Limit of resolution of compound microscope.
$ \text{d}_{min}=\frac{1.22{\lambda}}{2\text{ }n\text{ }sin\text{ }{\beta}}$
Resolving power is the reciprocal of limit of resolution $( \text{d}_{min})$
Therefore, to increase resolving power $\lambda$ can be reduced and refractive index of the medium can be increased.
$ \text{d}_{min}=\frac{1.22{\lambda}}{2\text{ }n\text{ }sin\text{ }{\beta}}$
Resolving power is the reciprocal of limit of resolution $( \text{d}_{min})$
Therefore, to increase resolving power $\lambda$ can be reduced and refractive index of the medium can be increased.
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