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  • Two ideal electric dipoles , having their dipole moment <img alt="\mathrm{p}_{1}$ and $\mathrm{p}_{2}" src="https://entrancecorner.codecogs.com/gif.latex?%5Cmathr

Two ideal electric dipoles A$ and $B, having their dipole moment \mathrm{p}_{1}$ and $\mathrm{p}_{2} respectively are placed on a plane with their centres at \mathrm{O} as shown in the figure. At point C on the axis of dipole A, the resultant electric field is making an angle of 37^{\circ} with the axis. The ratio of the dipole moment of A and \mathrm{B}, \frac{\mathrm{p}_{1}}{\mathrm{p}_{2}} is :\left(\right.$ take $\left.\sin 37^{\circ}=\frac{3}{5}\right)
Option: 1 \frac{3}{8}
Option: 2 \frac{3}{2}
Option: 3 \frac{2}{3}
Option: 4 \frac{4}{3}

Answers (1)

best_answer


pt.c is at the axial position for dipole p_{1} and equational position for p_{2}
E_{1}= \frac{2kp_{1}}{r^{3}}
E_{2}= \frac{kp_{2}}{r^{3}}
\tan 37^{\circ}= \frac{E_{2}}{E_{1}}= \frac{p_{2}}{2p_{1}}
                    \frac{3}{4}= \frac{p_{2}}{2p_{1}}
                    \frac{p_{1}}{p_{2}}=\frac{2}{3}
The correct option is (3)
 

Posted by

vishal kumar

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