Two identical electric point dipoles have dipole have dipole moments p → 1 = p i ^ and p → 2 =…

Two identical electric point dipoles have dipole have dipole moments p1=pi^ and p2=pi^ and are held on the x-axis at distance 'a' from each other. When released, they move along the x-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is 'm', their speed when they are infinitely far apart is :
  1. Pa1πε0ma
  2. Pa12πε0ma
  3. Pa2πε0ma
  4. Pa32πε0ma

Solution

  

ki+ui=kf+uf

0-2kpr3p2·cos180°=12mv2+12mv2+0

mv2=2kp1p2r3

θ=2kp1p2mr3

p1=p2=p&r=a

v=pa12πϵ0ma

Asked in: JEE Main 2020 (06 Sep Shift 2)

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