Question

The sun of diameter (d) subtends an angle o radian at the pole of a concave mirror of focal
length f. What is the diameter of the image of the sun formed by the mirror?​

Answer 1

The diameter of the image of the sun formed by the mirror 2fθ

Given:

Diameter of the sun = d

Focal length of mirror = f

The subtend angle = θ radian

Explanation:

The distance between sun and mirror is basically infinity.

∴ u = ∞

Now, on using mirror law, we get,

-1/f = 1/v + 1/u

On substituting the given values, we get,

-1/f = 1/v + 1/∞

-1/f = 1/v + 0

-1/f = 1/v

∴ -f = v

The 'negative sign' indicates real, inverted and diminished.

The sun subtends an angle θ radian at the pole, we get,

θ = r/f

Where, r is radius of image

r = θf

∴ d = 2r = 2fθ

Answer 2

Hope this answer will be helpful to you dear.

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