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TS EAMCET · Physics · Ray Optics

With the help of a telescope that has an objective of diameter \(200 \mathrm{~cm}\), 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

  1. A \(39 \times 10^8 \mathrm{deg}\)
  2. B \(39 \times 10^8 \mathrm{rad}\)
  3. C \(19.5 \times 10^8 \mathrm{rad}\)
  4. D \(19.5 \times 10^8 \mathrm{deg}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(39 \times 10^8 \mathrm{rad}\)

Step-by-step Solution

Detailed explanation

The limit of resolution of a telescope is \[ \theta=\frac{1.22 \lambda}{d} \] where, \(\lambda=\) wavelength of light rays \(d\) = aperture of objective lens of telescope. Here, \(\lambda=6400 Å=6400 \times 10^{-10} \mathrm{~m}\) \[ d=200 \mathrm{~cm}=2 \mathrm{~m} \]…
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