Assertion (A): To increase the resolving powe | vedclass

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(C) The resolving power of a telescope is defined as the inverse of the minimum angular separation between two objects that can be just resolved by th

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If Assertion is true but Reason is false.

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(C) The resolving power of a telescope is defined as the inverse of the minimum angular separation between two objects that can be just resolved by the telescope.The formula for the resolving power of a telescope is $RP = \frac{a}{1.22 \lambda}$,where $a$ is the diameter of the aperture of the objective lens and $\lambda$ is the wavelength of light used.From the formula,it is clear that $RP \propto a$. Therefore,to increase the resolving power,the aperture $(a)$ of the objective lens should be large.Assertion $(A)$ is true because a larger aperture reduces the diffraction limit,allowing for better resolution.Reason $(R)$ states the formula as $\frac{2a}{1.22 \lambda}$,which is incorrect because the correct formula is $\frac{a}{1.22 \lambda}$.Thus,Assertion $(A)$ is true,but Reason $(R)$ is false.

Assertion $(A):$ To increase the resolving power of a telescope,the aperture $(a)$ of the objective lens should be large.
Reason $(R):$ The resolving power of a telescope is given by $\frac{a}{1.22 \lambda}$.

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Assertion $(A):$ To increase the resolving power of a telescope,the aperture $(a)$ of the objective lens should be large.Reason $(R):$ The resolving power of a telescope is given by $\frac{a}{1.22 \lambda}$.