1) Express the image distance s i of a convex mirror in terms of the object dist

Question

1) Express the image distance si of a convex mirror in terms of the object distance so and the radius of curvature of the mirror R. Keep in mind that the focal length is considered negative for a convex mirror.

2) Express the image distance si of a convex mirror in terms of the object distance so and the radius of curvature of the mirror R. Keep in mind that the focal length is considered negative for a convex mirror.

Hint: The image is virtual for 0 < so < f and real for so > f.

What are the corresponding ranges for si?

soluation  by uploding an image plz !!

Explanation / Answer

For concave mirror, focal length is negative.

f = - R/2

u, object distance = -so

v, object distance, si = to be calculated

Using MIrror;s formula:

1/v + 1/u = 1/f

1/si - 1/so = -2/R

1/si = 1/so - 2/R

si = R*si/(R - 2so)

Thus, si = R*so/(R - 2so)

For real image, 0 < si < f and virtual for si > f

For convex mirror, focal length is positive.

f = R/2

u, object distance = -so

v, object distance, si = to be calculated

Using MIrror;s formula:

1/v + 1/u = 1/f

1/si - 1/so = 2/R

1/si = 1/so + 2/R

si = R*si/(R + 2so)

Thus, si = R*so/(R + 2so)

For virtual image, 0 < si < f and real for si > f

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