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Q.

A dipole consists of two particles one with charge +1 $μ$ C and mass 1kg and the other with charge –1 $μ$ C and mass 2kg separated by a distance of 3m. For small oscillations about its equilibrium position, the angular frequency, when placed in a uniform electric field of 20kV/m is____10^–1rad/s

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Detailed Solution

About a point 1m from 1kg particle

The torque acting on both of the particles is given by $τ = qE 2 sinθ + qEsinθ = 3 qEsinθ$

$Iα = 3 qEθ$

$ω = \sqrt{\frac{3 qE}{I}} = \sqrt{\frac{3 \times 1 \times 10^{- 6} \times 20 \times 10^{3}}{6}} = 0.1$

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A dipole consists of two particles one with charge +1 μC and mass 1kg and the other with charge –1 μC and mass 2kg separated by a distance of 3m. For small oscillations about its equilibrium position, the angular frequency, when placed in a uniform electric field of 20kV/m is____10–1rad/s