AP EAMCET20227 Jul 2022Evening ShiftPhysicsRay OpticsActual
A monochromatic light of wavelength 6000 Å coming from a star is detected in a 100 inch telescope. The limit of resolution of the telescope is approximately
Options
- A3.4 10⁻⁷ rad
- B6.7 10⁻⁷ rad
- C2.9 10⁻⁷ rad
- D1.54 10⁻⁷ rad
Correct answer
C. 2.9 10⁻⁷ rad
Step-by-step solution
For a telescope, limit of resolution is given by Q_R= 1.22 a Here, aligned & = wavelength of light =600 Å & a= apperture size =100 inch & =100 2.54 ~cm =254 ~cm aligned So, Limit of resolution aligned Q_R & = 1.22 6000 10⁻¹⁰ 254 10⁻² =28.8 10⁻⁸ rad & =2.9 10⁻⁷ rad aligned