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Question
An electric dipole has a fixed dipole moment →p , which makes angle θ with respect to x -axis. When subjected to an electric field E1=E^i, it experiences a torque →T1=τ^k. When subjected to another electric field →E2=√3E1^j it experiences torque →T2=−→T1⋅ The angle θ is :
An electric dipole has a fixed dipole moment →p , which makes angle θ with respect to x -axis. When subjected to an electric field E1=E^i, it experiences a torque →T1=τ^k. When subjected to another electric field →E2=√3E1^j it experiences torque →T2=−→T1⋅ The angle θ is :
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Solution
The correct option is A 60∘
Torque τ=¯pׯE Given ¯p=px^1+py^ȷ&τ=γ^k∼^k=(pk^i+py^ȷ)×E^iτ^k=0+PyE(−^k)Py=−γE Torque =↑^k,¯E=√3E^j
−γ^k=Pn√3E^kPx=−↑√3Etanθ=PyPn=δ3
⇒θ=60∘ Hence option A is correct
Torque τ=¯pׯE Given ¯p=px^1+py^ȷ&τ=γ^k∼^k=(pk^i+py^ȷ)×E^i
τ^k=0+PyE(−^k)Py=−γE Torque =↑^k,¯E=√3E^j
−γ^k=Pn√3E^kPx=−↑√3Etanθ=PyPn=δ3
⇒θ=60∘ Hence option A is correct
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