1.prove mirror formula 1/f=1/u+1/v 2 f=R/2 3. ray diagram image formation by convex mirror.
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The figure shows an object AB at a distance u from the pole of a concave mirror. The image A1B1 is formed at a distance v from the mirror. The position of the image is obtained by drawing a ray diagram.
Consider the ΔA1CB1 and ΔACB
∠A1CB1=∠ACB (vertically opposite angles)
∠AB1C=∠ABC (right angles)
∠B1A1C=∠BAC (third angle will also become equal)
∴ΔA1CB1 and ΔACB are similar
∴A1B1AB=B1CBC
Similarly ΔFB1A1 and ΔFED are similar
∴A1B1ED=FB1EF
But ED=AB
A1B1AB=FB1
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see the pics the answers are there
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