Physics, asked by yoganshbhatt, 1 year ago

what is the derivation of formula m=f/f+u

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Answered by saikrishna1021
3

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Answered by sonu567859
1

The required formula is obtained from mirror formula .

Mirror formula

The mirror formula is the relationship between the focal length f of the mirror, the distance u of the object from the pole of the mirror, and the distance v of the image from the pole.

The mirror formula:

                                              $\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$

The derivation of mirror formula

$\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$

$\Rightarrow \frac{1}{v}=\frac{1}{f}-\frac{1}{u}$

$=\frac{u-f}{f u} \\\Rightarrow v=\frac{f u}{u-f}

$m=\frac{-v}{u}

Put value in the equation

$ m = -\frac{(f u / (u-f))}{u}$

$m=\frac{f u}{f-u} \times \frac{1}{u}$

$m=\frac{f}{f-u}$

Thus the required formula is derived.

Learn mire about The mirror formula here,

https://brainly.in/question/10007584?msp_poc_exp=1

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