Question 432: Waves Optics

Question

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer 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 $$\mathop A\limits^ \circ  $$, is of the order of

Accepted Answer

Here, $${x \over {1000}} = {{1.22\lambda } \over D}$$
$$ \Rightarrow $$ x = $${{1.22 	imes 5 	imes {{10}^3} 	imes {{10}^{ - 10}} 	imes {{10}^3}} \over {10 	imes {{10}^{ - 2}}}}$$
$$ \Rightarrow $$ x = 1.22 $$ 	imes $$ 5 $$ 	imes $$ 10
-3
m = 6.1 mm
$$ 	herefore $$ x is of the order of 5 mm.

Answer

0.5 m

Answer

5 m

Answer

5 mm

Answer

5 cm

Waves Optics

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer 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 $\mathop A\limits^ \circ $, is of the order of

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