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Question

An electric dipole has 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 a torque T2=T1. The angle θ is

A
90o
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B
30o
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C
45o
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D
60o
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Solution

The correct option is D 60o
T=p×E
p=px^i+py^j
T^k=(px^i+py^j)×(E^i)
py=TE
Also,
T^k=(px^i+py^j)×(3E^j)
px=T3E
tan θ=pypx=3
θ=600

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