Two identical electric point dipoles have dipole moments p₁ = pî and p₂ = −pî 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:
Two identical electric point dipoles have dipole moments p₁ = pî and p₂ = −pî 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:
Option 1 -
(p/a) * √(1/(πɛ₀ma))
Option 2 -
(p/a) * √(1/(2πɛ₀ma))
Option 3 -
(p/a) * √(2/(πɛ₀ma))
Option 4 -
(p/a) * √(3/(2πɛ₀ma))
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1 Answer
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Correct Option - 2
Detailed Solution:By conservation of energy
(K.E. + P.E.)? = (K.E. + P.E.)?
0 + (1/ (4πε? a³) * 2P * P = 2 * (1/2)mv² + 0
v = √ (p² / (2πε? ma³) = (P/a) * √ (1 / (2πε? ma)
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