A telescope of diameter 2 m uses light of wa | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The minimum angular separation (limit of resolution) $\Delta 	heta$ for a telescope is given by the formula: $\Delta 	heta = \frac{1.22 \lambda}

Vedclass · Accepted Answer

$0.31 	imes 10^{-6} \ rad$

Vedclass · Answer

(C) The minimum angular separation (limit of resolution) $\Delta 	heta$ for a telescope is given by the formula: $\Delta 	heta = \frac{1.22 \lambda}{d}$.Here,the wavelength $\lambda = 5000 \ \mathring{A} = 5000 	imes 10^{-10} \ m = 5 	imes 10^{-7} \ m$.The diameter of the telescope aperture $d = 2 \ m$.Substituting these values into the formula:$\Delta 	heta = \frac{1.22 	imes 5 	imes 10^{-7}}{2} \ rad$.$\Delta 	heta = 0.61 	imes 5 	imes 10^{-7} \ rad = 3.05 	imes 10^{-7} \ rad$.Rounding to the nearest provided option,we get $\Delta 	heta \approx 0.31 	imes 10^{-6} \ rad$.

$A$ telescope of diameter $2 \ m$ uses light of wavelength $5000 \ \mathring{A}$ for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

Similar Questions

Two parallel pillars are $11 \, km$ away from an observer. The minimum distance between the pillars so that they can be seen separately will be.....$m$

Wavelengths of light used in an optical instrument are $\lambda_1 = 4000 \; \mathring{A}$ and $\lambda_2 = 5000 \; \mathring{A}$. The ratio of their respective resolving powers (corresponding to $\lambda_1$ and $\lambda_2$) is:

The separation between two microscopic particles is measured as $P_A$ and $P_B$ by two different lights of wavelength $2000 \; \mathring{A}$ and $3000 \; \mathring{A}$ respectively. Then:

According to Abbe,in the formula for the resolving power of a microscope,the numerical aperture is represented by:

If the wavelengths of light used in an optical instrument are $\lambda_1 = 4000 \, \mathring A$ and $\lambda_2 = 5000 \, \mathring A$,what will be the ratio of their resolving powers?

Vedclass Test Series

Exam Paper Generator

Online Exam Module