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find the position of the image of a candle flaws located 40cm in front of a concave mirror of radius of convature 64cm​

Sagot :

Explanation:

Given that,

Object distance, u = -40 cm (negative for concave mirror)

The radius of curvature of the mirror, R = 64 cm

Radius of curvature = 2(Focal length)

f = -32 cm (negative for concave mirror)

Using mirror's formula,

[tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(-32)}-\dfrac{1}{(-40)}\\\\v=-160\ cm[/tex]

So, the image will form at a distance of 160 cm from the mirror.