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Electrostatics question

2009 · Shift 1 · Q60
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Electrostatics question

2009 · Shift 1 · Q60

JEE AdvancedPhysicsElectrostaticsMCQ+3 / −1

Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown. Let E be the electric field and V be the electric potential at M (potential at infinity is zero) due to the given charge distribution when it is at rest. Now, the whole system is set into rotation with a constant angular velocity about the line PQ. Let B be the magnetic field at M and μ\muμ be the magnetic moment of the system in this condition. Assume each rotating charge to be equivalent to a steady current.

Column I Column II
(A) E=0E=0E=0 (P) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 22 English 1
Charge are at the corners of a regular hexagon. M is at the centre of the hexagon. PQ is perpendicular to the plane of the hexagon.
(B) Ve0V e 0Ve0 (Q) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 22 English 2
Charges are on a line perpendicular to PQ at equal intervals. M is the midpoint between the two innermost charges.
(C) B=0B=0B=0 (R) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 22 English 3
Charges are placed on two coplanar insulating rings at equal intervals. M is the common centre of the rings. PQ is perpendicular to the plane of the rings.
(D) μe0\mu e 0μe0 (S) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 22 English 4
Charges are placed at the corners of a rectangle of sides a and 2a and at the mid points of the longer sides. M is at the centre of the rectangle. PQ is parallel to the longer sides.
(T) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 22 English 5
Charges are placed on two coplanar, identical insulating rings are equal intervals. M is the midpoint between the centres of the rings. PQ is perpendicular to the line joining the centres and coplanar to the rings.

  1. A
    (A)→(R),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(T),(S)\mathrm{(A)\to(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(T),(S)}(A)→(R),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(T),(S)
  2. B
    (A)→(P),(R),(S);(B)→(R),(S);(C)→(P),(Q),(S);(D)→(R),(S)\mathrm{(A)\to(P),(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(S);(D)\to(R),(S)}(A)→(P),(R),(S);(B)→(R),(S);(C)→(P),(Q),(S);(D)→(R),(S)
  3. C
    (A)→(P),(R),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(R),(S)\mathrm{(A)\to(P),(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(R),(S)}(A)→(P),(R),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(R),(S)
  4. D
    (A)→(P),(Q),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(R),(S)\mathrm{(A)\to(P),(Q),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(R),(S)}(A)→(P),(Q),(S);(B)→(R),(S);(C)→(P),(Q),(T);(D)→(R),(S)
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