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. 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?

3. The following statements are given about the forces acting on a satellite in orbit around a planet.

I. The gravitational force on the satellite is proportional to the mass of the planet and the mass of the satellite.
II. The strength of the gravitational field is equal to the weight of the satellite.
III. The centripetal force acting on the satellite is provided by the gravitational force between the planet and the satellite.

Which of these statements are correct?

4. 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?

5. 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?

6. 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.		$F\sin \theta$

7. A charged particle is moving horizontally when it enters an electric field between two parallel plates. The path followed by the particle when it passes through the plates is shown. Assume gravitational effects to be negligible.

Which statements are correct about the charged particle?

• I. The particle is positively charged.
• II. A magnetic field in a direction into the page could cause the charged particles to move horizontally without deflection.
• III. A magnetic field in a direction out of the page could cause the charged particles to move horizontally without deflection.

8. 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?

9. A loop of area 5.0cm^2 is placed in a uniform magnetic field of $10mT$. The loop rotates around the vertical axis with a period of $4.0s$.

What is the magnitude of the change in magnetic flux linkage after 2.0 s?

10. The diagram shows the equipotential surfaces of two charges.

Which of the following can be the directions of the electric field at points A and B?

11. The diagram shows the gravitational field between two masses m1​ and m2​.

Which of the following is correct?

12. Two positive charges q1​ and q2​ are separated by a distance $d$. A third positive charge $q$ is placed at a distance d/4​ from q1​ so that the charge $q$ is in equilibrium.

What is the ratio q1/q2​​?

13. 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

14. 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?

15. A hydrogen nucleus is held stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

16. 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?

17. 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 $Y$?

18. A conducting rod is moving in a magnetic field which is in the direction of out of the page as shown. It is moved in the direction of Side C (opposite to side A) by a force $F$

What is the direction of the electric field established in the conducting rod?

19. 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?

20. 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?

21. 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.

22. Which of the following pairs of graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

• A
  B
  C
  D

23. A spaceship orbits a planet at a distance of $d$ from the center of the planet. Later the spaceship moves and settles into a new orbit of d/2​. which of the following describes the change in kinetic energy, potential energy, and total energy of the spaceship?

24. The work done on a beta-minus particle when moving it from $Y$ to $X$ is found to be $-10eV$. Equipotential lines are represented by the dashed lines in the diagram.

What is the work done by the field on an electron when it is moved from $Z$ to $W$ in the field shown?

25. Which of the following is correct about the gravitational field strength at a point near a planet?