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Find the covered by the particles,in the...

Find the covered by the particles,in the following figures,(i) and (ii) while a particle travels from A to B as shown by the arrows.

Text Solution

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(i)Actual of the path traversed is =AC+CD+BD
`tob+l+(1)/(2)sqrt(l^(2)+b^(2))[becauseDB=(1)/(2)xx"Diagonal AD"]`
(ii)Actuallength of the path traversed
=AC+CD+DB`impliesa+(pia)/(2)+a`
[`because` Circumference of a circle=`pixx"diameter"=2a+(pia)/(2)`]
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Knowledge Check

  • Two particles A and B of mass m_(A) and m_(B) respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are v_(A) and v_(B) respectively, and the trajectories are as shown in the figure. Then

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