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Find the radius of curvature of a concave mirror. If the object is at d1 distance away from Pole and image formed is at d2 distance away from Pole

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Find the radius of curvature of a concave mirror. If the object is at d1 distance away from Pole and image formed is at d2 distance away from Pole

(a) \(\frac{2d_1d_2}{d_1 + d_2}\)

(b) \(\frac{d_1d_2}{d_1 + d_2}\)

(c) \(\frac{d_1d_2}{2d_1 + d_2}\)

(d) \(\frac{d_1d_2}{d_1 + 2d_2}\)

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Correct answer:(a) \(\frac{2d_1d_2}{d_1 + d_2}\)

Explanation:

Using Newton’s formula, we have

xy = f2

(d1 − f)(d2 − f) = f2

f = \(\frac{d_1d_2}{d_1 + d_2}\)

Radius of curvature,

Roc = 2f = \(\frac{2d_1d_2}{d_1 + d_2}\)

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