Single Choice

When diameter of the aperture of the objective of an astronomical telescope if increased, its

AMagnifying power is increased and resolving power is decreased
BMagnifying power and resolving power both are increased
CMagnifying power remains the same but resolving power is increased
Correct Answer
DMagnifying power and resolving power both are decreased

Solution

Resolving Power ($$R.P$$) of an astronomical telescope is given by :
$$R.P=\dfrac{D}{1.22 \lambda}$$ , where $$\lambda$$ is the wavelength of incident light and $$D$$ is diameter of aperture of the lens($$objective$$).
So if diameter of the aperture ($$D$$) increased then $$R.P$$ is also increased.
Magnifying Power is given by $$m=\dfrac{- f_o}{f_e} (1 + \dfrac{f_e}{D})$$ where $$f_o$$ is focal length of objective and $$f_e$$ is the focal length of eye-piece and $$D$$ is the least Distance of clear vision.So increasing diameter of aperture doesn't change Magnifying power($$m$$).


SIMILAR QUESTIONS

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