When observed from the earth the angular diameter of the sun is 0.5 degree. The diameter of the image of the sun when formed in a concave mirror of focal length 0.5 m will be about :
Given,
Understand the angle subtended by the common tangents with Sun and its image are vertically opposite
angles. Hence they are equal to each other and is equal to 0.5 degrees.
Thus the angle ∠BOA=0.5o
Also the distance r=OA=OB=50cm
Hence the distance AB is
AB=θr=0.5o(π180o)×r
AB=0.5o(π180o)×50=0.44cm
Hence, diameter of sun on image is 4.4mm