A dipole of dipole moment p is kept at origin along x direction and fixed. A bead of mass m, charge q can slide on fixed smooth rod kept along line x = c . Bead is given a gentle push so that it start

Question

A dipole of dipole moment p is kept at origin along x direction and fixed. A bead of mass m, charge q can slide on fixed smooth rod kept along line x = c . Bead is given a gentle push so that it starts moving along +y direction from point P as shown. Whole arrangement is kept in gravity free space. [c is very large in comprision to length of dipole].

TestHub · Accepted Answer

Normal zero where E due to dipole along y-direction. For A : y-direction

$tan α = \frac{1}{2} tan (θ) tan θ = 2$

So, co-ordinate $(c, 2 c)$ For B :

$\frac{1}{2} m v^{2} = q [\frac{k p}{c ^{2}} - \frac{k p cos θ}{[ c ^{2} + 2 c ^{2} ]}] = \frac{k pq}{c ^{2}} [1 - \frac{1}{3 3}] v = \frac{pq}{2 π ε _{0} m c ^{2}} [1 - \frac{1}{3 3}]$

For C :

$E = \frac{kp}{3 3 c ^{3}} 1 + \frac{3 c ^{2}}{3 c ^{2}} = \frac{2}{3 3} \frac{kp}{c ^{3}} acc . = \frac{2 pq}{12 π ε _{0} 3 c ^{3} m}$

For D :

$N = \frac{2 kpq}{c ^{3}} = \frac{pq}{2 π ε _{0} c ^{3}}$

Physics - Electrostatics Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion