99 Percentile Qs Bank for JEE MainPhysicsRay Optics
With the help of a telescope that has an objective of diameter 200 ~cm , it is proved that light of wavelengths of the order of 6400 Å coming from a star can be easily resolved. Then, the limit of resolution is
Options
- A39 10^8 deg
- B39 10^8 rad
- C19.5 10^8 rad
- D19.5 10^8 deg
Correct answer
B. 39 10^8 rad
Step-by-step solution
The limit of resolution of a telescope is = 1.22 d where, = wavelength of light rays d = aperture of objective lens of telescope. Here, =6400 Å=6400 10⁻¹⁰ ~m d=200 ~cm =2 ~m Substitution of values gives aligned & = 1.22 6400 10⁻¹⁰ 2 & = 1.22 64 10⁻⁸ 2 & =1.22 32 10⁻⁸ & =39 10⁻⁸ rad aligned