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Question

A dipole of dipole moment 0.5 Cm ˆi is placed in an electric field 2ˆi+3ˆjNc. What is the net force and torque on the dipole?

A
0.5N,1.5Nmˆk
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B
Zero,1.5Nmˆj
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C
Zero,1.5Nmˆk
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D
None of these
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Solution

The correct option is C Zero,1.5Nmˆk
The net force on a dipole in a uniform electric field is zero as both the charges experience force in equal and opposite directions. The torque however may or may not be zero depending on the orientation of the dipole.
τ=p×E
Here, p=0.5ˆi E=2ˆi+3ˆj
So τ=0.5ˆi×(2ˆi+3ˆj)
=1.5ˆk(Nm)

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