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(B) The sun is at a very large distance,so its image is formed at the focus of the concave mirror. The distance of the image from the pole of the mirr

Vedclass · Accepted Answer

$0.87$

Vedclass · Answer

(B) The sun is at a very large distance,so its image is formed at the focus of the concave mirror. The distance of the image from the pole of the mirror is equal to the focal length,$f = 100 \ cm$.Let $x$ be the diameter of the image of the sun.The angle subtended by the sun at the mirror is $	heta = 30' = (30/60)^\circ = 0.5^\circ$.Converting the angle into radians:$	heta = 0.5 	imes (\pi / 180) \ rad = \pi / 360 \ rad$.Using the relation $	ext{Angle} = 	ext{Arc} / 	ext{Radius}$,where the arc is the diameter $x$ and the radius is the focal length $f$:$	heta = x / f$$x = f 	imes 	heta = 100 	imes (\pi / 360) \ cm$.$x = 100 	imes 3.14159 / 360 \approx 0.872 \ cm$.Thus,the diameter of the image is approximately $0.87 \ cm$.

$A$ concave mirror of focal length $100 \ cm$ is used to obtain the image of the sun,which subtends an angle of $30'$. The diameter of the image of the sun will be.....$cm$.

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