1. Two objects A and B are separated by a distance $r$. The mass of A is much larger than that of B.

Which of the following is correct about magnitude and direction of the gravitational force exerted by A on B compared to that exerted by B on A?

2. A wire is carrying a current $I$ is placed in a region of uniform magnetic field B1. The magnitude of the magnetic field is $B$, and its direction is into the page. The force acting on the wire is $F$, as shown in the diagram.

The wire, carrying the same current $I$, is now placed with the orientation shown into another region of uniform magnetic field B2. The magnitude of the magnetic field is $B$, and its direction is out of the page.

What is the correct direction and magnitude of the force acting on the wire in field B2?

	Direction	Magnitude
A.		$F$
B.		$F$
C.		$F\sin \theta$
D.		$F\sin \theta$

3. A satellite is orbiting a planet at a height $h$ from the surface of the planet. The satellite settles on a lower orbit.

What is correct about the changes to its kinetic energy and the centripetal force acting on the satellite in its new orbit?

4. Equipotential lines representing the corresponding potentials are shown in the diagram, in an electric field.

Which of the following is a correct statement regarding this electric field?

5. A positive charge Q and four points on equipotential lines are represented in the diagram shown.

A negative ion is moved from location 1 to 2, then to 3 and finally to 4. Which of the following gives the correct nature of the net work done on the ion during each section of this movement?

6. The gravitational field strength on the surface of the moon is gE/6. Two objects of different masses $m$ and $2m$ are released with zero speed on the moon from heights of $h$ and $2h$, respectively, where $h$ is small compared to the radius of the moon.

What are the magnitudes of the accelerations of these objects right after release?

7. A conducting rod of length $L$ is moved in a region of uniform magnetic field $B$ to light the filament bulb with a resistance of $R$. The direction of the magnetic field is out of plane.

What is the maximum output power of the bulb?

8. A bar magnet is aligned along the axis of a conducting loop. The magnet and the loop move with velocities as given situations $K,L,$ and $M$. The distance between the bar and loop is the same in all scenarios.

Which is correct about the magnitudes of induced emf, $\epsilon$, at the instant shown in each situation?

9. Planet $A$ has a gravitational field strength $g$ at its surface. Planet $B$ has twice the density and twice the radius of planet $A$.

What is the gravitational field strength at the surface of B?

10. A satellite of mass $40kg$ is moved from one point in space to another for experimental purposes. The graph below shows how the gravitational potential $V$ of the points that the satellite moves through varies with time $t$.

The change in gravitational potential energy of the satellite is $600MJ$. Which of the following gives the magnitude of the gravitational potential Vf at the final location of the satellite?

11. A bar magnet and a metal ring are located as shown

The metal ring is supported by weightless threads, so it is free to move. The bar magnet is being moved to right and left. Which of the following correctly matches the direction of force on the metal ring for the given motions of the bar magnet?

12. A satellite is in a circular orbit of radius $R$ around a planet of mass $M$. Which of the following graphs represents the relationship between the centripetal acceleration of the satellite and its orbital radius?

A.				B.
C.				D.

13. Two charges, separated by a large distance, are shown below, along with the electric field lines around each charge.

Which of the following statements is correct?

• I.  The charge $q$ is positive.
• II.  The charge $q$ is equal in magnitude to +Q.
• III.  The electric field magnitude near the charge $q$ is greater than the magnitude of the field near the charge +Q.

14. A plastic rod carrying a uniformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at point $P$?

15. Which of the following correctly lists the fundamental forces in decreasing order of strength?

16. A current-carrying wire is at right angles to a uniform magnetic field. The magnetic force per unit length on the wire is F/L. The length of the wire, the magnitude of the magnetic field strength, and the current of the wire are all doubled. Which of the following is the magnetic force per unit length on the wire after these changes?

17. Which of the following is equivalent to the unit of electric potential difference?

18. The diagram below shows a circuit connected to an iron rod $XY$. The connecting wires are flexible. The rod is placed in a magnetic field directed perpendicularly into the page as shown.

In what direction will the resultant force act on the rod when the current is switched on in the circuit?

19. Satellite $A$ of mass $M$ orbits a planet with an orbital speed $v$ and orbital radius $R$. Another satellite B with mass $3M$ orbits the same planet with the same orbital speed.

Knowing that the ratio Centripetal force of satellite A /entripetal force of satellite B =1/ 3 what is the orbital radius of satellite $B$?

20. Planet $X$ has radius $R$ and density $\rho$. The gravitational field strength at the surface of Planet $X$ is $g$.

What is the ratio of the gravitational field strength at the surface of planet Y, which has radius 0.25$R$ and density 3ρ, to that at the surface of Planet X?

21. A positive and a negative charge of equal magnitude are located on the same horizontal line.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

22. A beam of electrons enters a uniform electric field, as shown.

What effect does this field have on the horizontal and vertical components of the electrons' velocity?

23. Two sections of current-carrying wires, $X$ and $Y$, that lie in the plane of the paper are shown below. The arrow in wire $X$ shows the direction of conventional current. Which response gives possible directions of current in wire $Y$ and electromagnetic force acting on $Y$?

24. A circular disc magnet and a conducting ring are located as shown.

The circular disc magnet turns around the vertical axis with a constant angular frequency of $\omega$. Which of the following graphs could show the variation of induced current in the conducting ring with time for one revolution of the magnet?

A.			B.
C.			D.

25. A satellite is in an orbit around a planet of radius $R$. The graph shows the variation of different energy quantities against r, which is the distance from the center of the planet. The graph origin represents the surface of the planet.

Which one of the following statements may be correct about the energies of this satellite?

I. A shows the variation of kinetic energy of the satellite.
II. B shows the variation of the total energy of the satellite.
III. C shows the variation of the sum of kinetic and potential energies of the satellite