question_answer

A telescope of aperture \[3\times {{10}^{-2}}m\] diameter is focused on a window at 80 m distance fitted with a wire mesh of spacing \[2\times {{10}^{-3}}m\]. Given: \[\lambda =5.5\times {{10}^{-7}}m,\]which of the following is true for observing the mesh through the telescope?                    [JEE ONLINE 26-05-2012]

A) Yes, it is possible with the same aperture size.

B) Possible also with an aperture half the present diameter.

C) No, it is not possible.

D) Given data is not sufficient.

Correct Answer: A

Solution :

[a] Given:

Limit of resolution,

At a distance of 80 m, the telescope is able to resolve between two points which are separated by