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Geometric optics question Plz help me to understand how can i Solve it with using diffrentiation Formula was something like Dv^2 = ....something I dont know what is that d used in mirror formula and why is it used

Geometric optics question
Plz help me to understand how can i 
Solve it with using diffrentiation 
Formula was something like
Dv^2  = ....something
I dont know what is that d used in mirror formula and why is it used
 

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Grade:11

1 Answers

Arun
25750 Points
3 years ago
1​+u1​=f1​⟶(1)

Differentiating, we get  

⇒−υ−2dv−u−2du=0

or ∣dυ∣=∣∣∣∣∣∣​u2υ2​∣∣∣∣∣∣​du ⟶(2)         

Here ∣dv∣=size of image,

∣du∣=size of object (=b)

From the equation 1, we write

vu​+1=fu​

Squaring both sides, we get

v2υ2​=(u−ff​)2

Substituting in equation 2 we get

Size of the image  dv=b(u−ff​)2

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