Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • An astronaut is looking down on Earth's surface from a space shuttle at an altitude of <img alt="\mathrm{400 \mathrm{~km}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B400%

An astronaut is looking down on Earth's surface from a space shuttle at an altitude of \mathrm{400 \mathrm{~km}}. Assuming that the astronaut's pupil diameter is 5 \mathrm{~mm} and the wavelength of visible light is \mathrm{500 \mathrm{~nm}}, the astronaut will be able to resolved linear objects of the size of about:

Option: 1

0.5 m


Option: 2

5 m


Option: 3

50 m


Option: 4

500 m


Answers (1)

best_answer

\mathrm{\begin{aligned} & \text { As } \mathrm{d} \theta=\frac{\mathrm{x}}{\mathrm{d}}=\frac{1.22 \lambda}{\mathrm{D}}, \quad \therefore \quad \mathrm{x}=\frac{1.22 \lambda \mathrm{d}}{\mathrm{D}} \\\\ & =\frac{1.22\left(500 \times 10^{-9} \mathrm{~m}\right)\left(400 \times 10^3 \mathrm{~m}\right)}{\left(5 \times 10^{-3} \mathrm{~m}\right)}=48.8 \mathrm{~m} \approx 50 \mathrm{~m} \end{aligned}}

Posted by

Ritika Kankaria

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 application correction begins on jeemain.nta.nic.in; edit details by December 2
anam-khan

JEE Mains 2026 LIVE: NTA to conduct session 1 from January 21 to 30; exam pattern, syllabus
anam-khan

JEE Main 2026 correction window opens tomorrow; NTA allows exam city change

Latest Question