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Q.

A dipole is placed at point A at a large distance r from centre O of earthed metal sphere whose radius is R (R<r) . Angle of dipole moment is  θ1 with radius vector OA . Now dipole is rotated from θ=θ1  to  θ=θ2.

 Column – I  Column – II 
A)θ1=0  to   θ2=900P)Electrons flow from earth to sphere 
B)θ1=1800   to   θ2=00Q)Electrons flow from sphere to ground
C)θ1=600  to  θ2=1200R)There is no flow of net charge from sphere to ground
D)θ1=900   to   θ2=900S)Work done in the process is zero
  T)Work done in the process in non-zero

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a

Ar,t;Bq,s;Cp;Dr,s

b

Ar,t;Bq;Cp,s;Dr

c

At;Bq;Cp;Dr

d

Ap,t;Bq,s;Cp,s;Dr,s

answer is D.

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Detailed Solution

 Question Image                              
Work done in rotating the dipole equals change in potential energy of the system. Potential of the centre should be zero, as metal is earthed. Electrons will flow from or to earth to satisfy this.

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