anonymous
  • anonymous
suppose you have a convex lens with focal length 17 cm.if an object is place p cm away from the lens,its image will appear to be q cm from the lens, where p,q and 17 cm are related by the following equation:- 1/17=1/p + 1/q This is known as lens equation. what the rate of change of p with respect to q?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
You might want to differentiate this. Did you attempt it?
anonymous
  • anonymous
differentiate all or what? i don't know..please help me
anonymous
  • anonymous
Differentiate the \(\frac{1}{17}=\frac{1}{p}+\frac{1}{q}\) wrt to q. Like this: \(\frac{d(\frac{1}{17})}{dq}=\frac{d(p^{-1})}{dq}+\frac{d(q^{-1})}{dq}\) \(0=-p^{-2}p'-q^{-2}\) So \(p'=- \frac{p^2}{q^2}\) Now sub \(p=(\frac{1}{17}-\frac{1}{q})^{-1}\) into that and you've got it.

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anonymous
  • anonymous
what meaning of p' ?
anonymous
  • anonymous
\(p'=\frac{dp}{dq}\)
anonymous
  • anonymous
yes i got it..thanks a lot..:)
anonymous
  • anonymous
You're welcome :)

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