Question

Assertion $\left(A\right)$: The resolving power of both microscope and telescope depends on the wavelength used.

Reason $\left(R\right)$ : The resolving power of a lens is the ability to resolve the two images so that they are distinctly identified.

• A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
• B. Both $A$ and $R$ are true and $R$ is not the correct explanation of $A$.
• C. $A$ is true and $R$ is false.
• D. Both $A$ and $R$ are false

Answer 1

The correct option is B Both $A$ and $R$ are true and $R$ is not the correct explanation of $A$.

The resolving power of the microscope,

$R.P_{microscope}=\frac{2\mu \sin \beta }{1.22\lambda }$

and the resolving power of the telescope,

$R.P_{Telescope}=\frac{b}{1.22\lambda }$

$\therefore R.P_{microscope}\propto \frac{1}{\lambda }\text{and}R.P_{Telescope}\propto \frac{1}{\lambda }$

Hence, Assertion $\left(A\right)$ is true.

Resolving power of a lens is the power or ability of the lens to produce distinctly separate images of two closely spaced objects i.e., it is the ability of the instrument to resolve or to see as separate, the images of two closely spaced objects.

Hence, Reason $\left(R\right)$ is also true but Reason $\left(R\right)$ is not a correct explanation of Assertion $\left(A\right)$.

Hence,$\left(B\right)$ is the correct answer.