The diameter of the objective lens of a micro | vedclass

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(C) The resolving power $(R.P.)$ of a microscope is defined as the ability to distinguish between two closely spaced objects. It is given by the formu

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increases with increasing value of $n \sin \beta$

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(C) The resolving power $(R.P.)$ of a microscope is defined as the ability to distinguish between two closely spaced objects. It is given by the formula:$R.P. = \frac{2n \sin \beta}{\lambda}$where:$n$ is the refractive index of the medium between the object and the objective lens.$\beta$ is the semi-vertical angle subtended by the objective lens at the object (often denoted as $	heta$ in textbooks).$\lambda$ is the wavelength of the light used.From the formula,it is clear that $R.P. \propto n \sin \beta$.Therefore,the resolving power increases as the value of $n \sin \beta$ increases.

The diameter of the objective lens of a microscope makes an angle $\beta$ at the focus of the microscope. Further,the medium between the object and the lens is an oil of refractive index $n$. Then the resolving power of the microscope

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