A telescope has an objective lens of 10, cm d | vedclass

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

Question

(C) The angular resolution of a telescope is given by $	heta = \frac{1.22 \lambda}{D}$,where $\lambda$ is the wavelength of light and $D$ is the diam

Vedclass · Accepted Answer

$5\, mm$

Vedclass · Answer

(C) The angular resolution of a telescope is given by $	heta = \frac{1.22 \lambda}{D}$,where $\lambda$ is the wavelength of light and $D$ is the diameter of the objective lens.Given: $\lambda = 5000\,\mathring{A} = 5 	imes 10^{-7}\,m$,$D = 10\,cm = 0.1\,m$,and distance $L = 1\,km = 10^3\,m$.The minimum distance $x$ between two objects that can be resolved is given by $x = L 	heta = \frac{1.22 \lambda L}{D}$.Substituting the values: $x = \frac{1.22 	imes (5 	imes 10^{-7}\,m) 	imes (10^3\,m)}{0.1\,m}$.$x = \frac{1.22 	imes 5 	imes 10^{-4}}{10^{-1}} = 1.22 	imes 5 	imes 10^{-3}\,m = 6.1 	imes 10^{-3}\,m = 6.1\,mm$.The order of magnitude is approximately $5\,mm$.

$A$ telescope has an objective lens of $10\, cm$ diameter and is situated at a distance of $1\, km$ from two objects. The minimum distance between these two objects which can be resolved by the telescope,when the mean wavelength of light is $5000\,\mathring{A}$,is the order of

Similar Questions

Assume that light of wavelength $6000\,\mathring{A}$ is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of $100\,\text{inch}$?

$A$ telescope has an objective lens of $10\; m$ diameter and is situated at a distance of $1\; km$ from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is $5000\; \text{\AA}$, is of the order of:

The ratio of resolving powers of an optical microscope for two wavelengths $\lambda_1 = 4000\,\mathring{A}$ and $\lambda_2 = 6000\,\mathring{A}$ is

The resolving power of a compound microscope will be maximum when

The resolving limit of a healthy human eye is about:

Vedclass Test Series

Exam Paper Generator

Online Exam Module