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Prove that for spherical mirrors the pro...

Prove that for spherical mirrors the product of the distance of the object and the image to the
principal focus is always equal to the square of the principal focal length.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D


Using `1/v+1/u=1/f`
`:. (1)/(-(y+f))+(1)/(-(x+f))=(1)/(-f)`
Solving this equation , we get
`xy=f^(2)`.
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DC PANDEY-REFLECTION OF LIGHT-Exercise Level 1 Subjective
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  10. A ball is dropped from rest 3.0 m directly above the vertex of a conca...

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  11. An object 6.0 mm is placed 16.5 cm to the left of the vertex of a conc...

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  12. An object 9.0 mm tall is placed 12.0 cm to the left of the vertex of a...

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  13. How far should an object be from a concave spherical mirror of radius ...

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  14. An object is placed 42 cm, in front of a concave mirror of focal lengt...

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  15. Prove that for spherical mirrors the product of the distance of the ob...

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  16. Convex and concave mirrors have the same radii of curvature R. The dis...

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  17. A spherical mirror is to be used to form on a screen 5.0 m from the ob...

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