JEE Main2012PhysicsRay OpticsActual
A telescope of aperture 3 10⁻² ~m diameter is focused on a window at 80 ~m distance fitted with a wire mesh of spacing 2 10⁻³ ~m . Given: =5.5 10⁻⁷ ~m , which of the following is true for observing the mesh through the telescope?
Options
- AYes, it is possible with the same aperture size.
- BPossible also with an aperture half the present diameter.
- CNo, it is not possible.
- DGiven data is not sufficient.
Correct answer
A. Yes, it is possible with the same aperture size.
Step-by-step solution
Given : d=3 10⁻² ~m =5.5 10⁻⁷ ~m Limit of resolution, = 1.22 d = 1.22 5.5 10⁻⁷ 3 10⁻² =2.23 10⁻⁵ rad At a distance of 80 ~m , the telescope is able to resolve between two points which are separated by 2.23 10⁻⁵ 80 ~m =1.78 10⁻³ ~m