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An infinitely long positively charged straight thread has a linear charge density 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 :

Correct answer

2

Step-by-step solution

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

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