The sun subtends an angle of 0.5^o at the ear | vedclass

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(B) The angular diameter of the sun is given as $\alpha = 0.5^o$.To use this in calculations,we convert the angle into radians:$\alpha = 0.5 	imes \f

Vedclass · Accepted Answer

$4.36$

Vedclass · Answer

(B) The angular diameter of the sun is given as $\alpha = 0.5^o$.To use this in calculations,we convert the angle into radians:$\alpha = 0.5 	imes \frac{\pi}{180} 	ext{ radians}$.The focal length of the convex lens is $f = 50 cm = 500 mm$.The diameter of the image $d$ formed at the focal plane is given by the relation $d = f 	imes \alpha$ (for small angles).Substituting the values:$d = 500 	imes (0.5 	imes \frac{\pi}{180})$$d = 500 	imes (0.5 	imes 0.01745)$$d = 500 	imes 0.008727$$d \approx 4.36 mm$.Thus,the diameter of the image is $4.36 mm$.

The sun subtends an angle of $0.5^o$ at the earth's surface. Its image is formed by a convex lens of focal length $50 cm$. The diameter of the image will be......$mm$.

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