IIT-JEE 2007 Paper 2 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

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Column I describe some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situation in Column I with the characteristics in Column II and indicate your answer by darkening appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.

	Column I		Column II
(A)	The object moves on the x-axis under a conservative force in such a way that its "speed" and "position" satisfy $$v = {c_1}\sqrt {{c_2} - {x^2}} $$, where $$c_1$$ and $$c_2$$ are positive constants.	(P)	The object executes a simple harmonic motion.
(B)	The object moves on the x-axis in such a way that its velocity and its displacement from the origin satisfy $$v=-kx$$, where $$k$$ is a positive constant.	(Q)	The object does not change its direction.
(C)	The object is attached to one end of a massless spring of a given spring constant. The other end of the spring is attached to the ceiling of an elevator. Initially everything is at rest. The elevator starts going upwards with a constant acceleration a. The motion of the object is observed from the elevator during the period it maintains this acceleration.	(R)	The kinetic energy of the object keeps on decreasing
(D)	The object is projected from the earth's surface vertically upwards with a speed $$2\sqrt {GMe/{\mathop{\rm Re}\nolimits} } $$, where, M$$_e$$ is the mass of the earth and R$$_e$$ is the radius of the earth. Neglect forces from objects other than the earth.	(S)	The object can change its direction only once.

$$[\mathrm{A} \rightarrow(\mathrm{P}); \mathrm{B} \rightarrow(\mathrm{Q}, \mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{Q}, \mathrm{R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{Q, R}); \mathrm{B} \rightarrow(\mathrm{Q}, \mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{S}, \mathrm{R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{P, S}); \mathrm{B} \rightarrow(\mathrm{Q}, \mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{P, R}); \mathrm{B} \rightarrow(\mathrm{Q}, \mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{S})]$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

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Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.

	Column I		Column II
(A)	Point P is situated midway between the wires.	(P)	The magnetic fields (B) at P due to the currents in the wire are in same direction.
(B)	Point P is situated at the mid-point of the line joining the centers of the circular wires, which have same radii.	(Q)	The magnetic fields (B) at P due to the currents in the wires are in opposite directions.
(C)	Point P is situated at the mid-point of the line joining the centers of the circular wires, which have same radii.	(R)	There is no magnetic field at P.
(D)	Point P is situated at the common center of the wires.	(S)	The wires repel each other.

$$[\mathrm{A} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{B} \rightarrow(\mathrm{P}); \mathrm{C} \rightarrow(\mathrm{P}, \mathrm{R}); \mathrm{D} \rightarrow(\mathrm{Q, R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{Q}, \mathrm{R}) ; \mathrm{B} \rightarrow(\mathrm{P}); \mathrm{C} \rightarrow(\mathrm{Q}, \mathrm{R}); \mathrm{D} \rightarrow(\mathrm{Q})]$$

$$[\mathrm{A} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{B} \rightarrow(\mathrm{P}); \mathrm{C} \rightarrow(\mathrm{P}, \mathrm{R}); \mathrm{D} \rightarrow(\mathrm{Q})]$$

$$[\mathrm{A} \rightarrow(\mathrm{S}, \mathrm{R}) ; \mathrm{B} \rightarrow(\mathrm{P}); \mathrm{C} \rightarrow(\mathrm{P}, \mathrm{R}); \mathrm{D} \rightarrow(\mathrm{Q})]$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

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Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.

	Column I		Column II
(A)	Bimetallic strip	(P)	Radiation from a hot body
(B)	Steam engine	(Q)	Energy conversion
(C)	Incandescent lamp	(R)	Melting
(D)	Electric fuse	(S)	Thermal expansion

$$[\mathrm{A} \rightarrow(\mathrm{Q, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{R, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R, S})]$$

$$[\mathrm{A} \rightarrow(\mathrm{S}); \mathrm{B} \rightarrow(\mathrm{Q}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$

$$[\mathrm{A} \rightarrow(\mathrm{P, S}); \mathrm{B} \rightarrow(\mathrm{R}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$