Optics

anchit saini's Avatar
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23 Aug 2008 17:14:35 IST
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anchit saini's Avatar

Blazing goIITian

Joined: 1 Feb 2008
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23 Aug 2008 17:15:19 IST
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click on image to see the qn completely
Chirag Sangani's Avatar

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Joined: 12 Dec 2007
Posts: 611
23 Aug 2008 18:53:21 IST
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It is clear that the relative velocity will only be perpendicular to the axis


1 / v + 1 / u = 1 / f


so,


v = uf / u+f


I = O v / u


I = (0.5 cm) f / (f + u)


dI/dt = -(0.5cm) f / (f + u)^2 * du/dt


Putting f = 40 cm and u = -30 cm, du/dt = 4cm/s,


|dI/dt| = 0.8 cm/s = v


This is the speed with which one image will approach the principal axis. However, since we want relative velocity, we need the double of v which is 1.6 cm/s

anchit saini's Avatar

Blazing goIITian

Joined: 1 Feb 2008
Posts: 1251
23 Aug 2008 19:02:37 IST
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i took u =+ 30 , damn damn

anyways thanks



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