Three equal negative charges q each form the vertices of an equilateral triangle A particle of mass m and a positive charge q2

Question

Three equal negative charges q each form the vertices of an equilateral triangle A particle of mass m and a positive charge q2 is constrained to move along a line perpendicular to the plane of triangle and through its centre which is at a distance from each of the negative charges as shown in the figure The whole system is kept in gravity free space Find the time period of vibration of the particle for small displacement from equilibrium position 9 9 A 4neomr 239192 B 2 C 2T D 2T Teomr 39192 Solution A 4 eomr 9192 3 omr 49192 Let the charge q2 is moved a distance a perpendicular to the plane of the triangle a a charge q2 from one of the vertices of triangle R 2 Let the angle between a and R is 0 Net force perpendicular to plane of triangle is 3F cos 0 Here 3kq192 x Fuet 3F cos 0 R2 R here ve sign indicates that force is opposite to displacement r a T 2TA 9 3kq192x m x 72 3 59142 4 com3 4 Mr 39192 Distance of x ma 2 as for small a i e

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