An infinitely long positively charged straight thread has a linear charge density λ Cm − 1 . An electron revolves along a circular path having axis along the length of the wire. The graph that correct

Question

An infinitely long positively charged straight thread has a linear charge density λ Cm − 1 . An electron revolves along a circular path having axis along the length of the wire. The graph that correctly represents the variation of the kinetic energy of electron as a function of radius of circular path from the wire is :

TestHub · Accepted Answer

Electric field E at a distance r due to infinite long wire is E = r 2 kλ ​ Force of electron ⇒ F = e E ​ F = e ( r 2 kλ ​ ) F = r 2 kλ e ​ ​ This force will provide required centripetal force F v KE ​ = r m 2 ​ = r 2 k λ e ​ = m 2 k λ e ​ ​ = 2 1 ​ mv 2 = 2 1 ​ m ( m 2 k λ e ​ ) = k λ e ​

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