Error analysis - focal length

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In 2006,there was a question in the JEE abt a u - v plot of a lens for finding focal length,the %age error or something similar was asked,how to find it?i have no clue!

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Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-04-08 10:04:28

for any error analysis first take log of the eqn...and then differentiate

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Vivek ·2009-04-08 10:08:46

^^^

?????????????

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eureka123 ·2009-04-08 11:26:27

1/f=1/v-1/u
diff the eqn to get......
Î”f/f²=Î”v/v²-Î”u/u²
put the given values now.....[1]

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skygirl ·2009-04-09 04:49:58

well another way: [abhirup has alredy told]

f = uv/ u+v

=> lnf = lnu + ln v - ln(u+v)

differentiating...

=> df/f = du/u + dv/v - d(u+v)/u+v

=> Î”f/f = Î”u/u + Î”v/v - (Î”u + Î”v)/(u+v)

this is a std method to find error in all places ...

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AARTHI ·2009-04-10 23:55:40

yup i agree wid skyy n abhi

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Error analysis - focal length

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