Question

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AB and CD ,two spherical Mirrors, form parts of a hollow spherical ball with its centre at O as shown in the diagram. If arc AB = ½ arc CD , what is the ratio of their focal lengths. State which of the two Mirrors will always form virtual image of an object placed in front of it and why.



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Answer 1

Focal length of both the mirror will be same. Their ratio will be 1 ratio 1. Mirror AB will always form virtual image as it is diverging or convex mirror.

Answer 2

hi.....there is two answer you can choose your choice
1.....The focal length will depend upon the radius of the sphere which forms the spherical mirror. In the above case since both the mirrors are made from the same sphere thus the radius of curvature for both of them will be same and hence the focal length will also be same.

Thus the ration for the two mirrors will be 1:1.

2...There's no use of the given information( i.e, AB = 1/2 CD)

The focal length of the given lenses will be same since the radii are same ( it depends on radius only and also they are part of the same ball)

Therefore, the ratio of their focal lengths is 1:1.




Hope this information will clear your doubts about