1
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0

Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II:

Column I Column II
(A) The force exerted by X on Y has a magnitude $$Mg$$. (P) IIT-JEE 2009 Paper 1 Offline Physics - Gravitation Question 4 English 1
Block Y of mass M left on a fixed inclined plane X, slides on it with a constant velocity.
(B) The gravitational potential energy of X is continuously increasing. (Q) IIT-JEE 2009 Paper 1 Offline Physics - Gravitation Question 4 English 2
Two rings magnets Y and Z, each of mass M, are kept in frictionless vertical plastic stand so that they repel each other. Y rests on the base X and Z hangs in air in equilibrium. P is the topmost point of the stand on the common axis of the two rings. The whole system is in a lift that is going up with a constant velocity.
(C) Mechanical energy of the system X + Y is continuously decreasing. (R) IIT-JEE 2009 Paper 1 Offline Physics - Gravitation Question 4 English 3
A pulley Y of mass $$m_0$$ is fixed to a table through a clamp X. A block of mass M hangs from a string that goes over the pulley and is fixed at point P of the table. The whole system is kept in a lift that is going down with a constant velocity.
(D) The torque of the weight of Y about point is zero. (S) IIT-JEE 2009 Paper 1 Offline Physics - Gravitation Question 4 English 4
A sphere Y of mass M is put in a non-viscous liquid X kept in a container at rest. The sphere is released and it moves down in the liquid.
(T) IIT-JEE 2009 Paper 1 Offline Physics - Gravitation Question 4 English 5
A sphere Y of mass M is falling with its terminal velocity in a viscous liquid X kept in a container.

A
$$\mathrm{(A)\to (T),(S);(B)\to (Q),(T);(C)\to(P),(R),(T);(D)\to(Q)}$$
B
$$\mathrm{(A)\to (T),(P);(B)\to (Q),(S),(T);(C)\to(P),(R),(T);(D)\to(Q)}$$
C
$$\mathrm{(A)\to (T),(Q);(B)\to (Q),(S),(T);(C)\to(P),(R),(T);(D)\to(S)}$$
D
$$\mathrm{(A)\to (P);(B)\to (S),(T);(C)\to(P),(R),(T);(D)\to(T)}$$
2
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0

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 $$\mu$$ 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) $$E=0$$ (P) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 12 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) $$V\ne 0$$ (Q) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 12 English 2
Charges are on a line perpendicular to PQ at equal intervals. M is the midpoint between the two innermost charges.
(C) $$B=0$$ (R) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 12 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) $$\mu \ne 0$$ (S) IIT-JEE 2009 Paper 1 Offline Physics - Electrostatics Question 12 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 12 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.

A
$$\mathrm{(A)\to(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(T),(S)}$$
B
$$\mathrm{(A)\to(P),(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(S);(D)\to(R),(S)}$$
C
$$\mathrm{(A)\to(P),(R),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(R),(S)}$$
D
$$\mathrm{(A)\to(P),(Q),(S);(B)\to(R),(S);(C)\to(P),(Q),(T);(D)\to(R),(S)}$$
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