Is magnification =f/f-u (or) f/u-f

Asked by hrushithagowda432 | 11th May, 2020, 06:32: PM

Expert Answer:

F o r space s p h e r i c a l space m i r r o r comma space

M i r r o r space f o r m u l a space i s comma space

1 over f space equals space 1 over v space plus space 1 over u space
1 over v equals 1 over f minus 1 over u space

1 over v space equals space fraction numerator u minus f over denominator u f end fraction

T h u s comma space v space equals space fraction numerator u f over denominator u minus f end fraction space... left parenthesis 1 right parenthesis

L i n e a r space m a g n i f i c a t i o n space f o r space s p h e r i c a l space m i r r o r s space i s space g i v e n space a s comma space

m space equals space fraction numerator negative space v over denominator u end fraction space.... left parenthesis 2 right parenthesis
S u b s t i t u t e space left parenthesis 1 right parenthesis space i n space left parenthesis 2 right parenthesis space

T h u s comma space m a g n i f i c a t i o n space left parenthesis m right parenthesis space equals negative space fraction numerator open parentheses begin display style fraction numerator u f over denominator u minus f end fraction end style close parentheses space over denominator u end fraction space equals fraction numerator negative space u f over denominator u space left parenthesis u minus f right parenthesis end fraction space equals fraction numerator space f over denominator negative u space plus f space end fraction space equals space fraction numerator f over denominator f space minus space u space end fraction

Answered by Shiwani Sawant | 11th May, 2020, 08:03: PM