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Two electric dipoles of moment P and 64P are placed in opposite direction on a line at a distance of 25 cm. The electric field will be zero at point between the dipoles whose distance from the dipole of moment P is

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a

5 cm

b

259 cm

c

10 cm

d

413 cm

answer is A.

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Detailed Solution

Suppose neutral point N lies at a distance x from dipole of moment. At N , IE. F. due to dipole (1)=∣E.F . due to dipole (2) ⇒14πε0·2px3=14πε0·2(64p)(25-x)3 ⇒1x3=64(25-x)3⇒x=5 cm

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