1. Four fixed charged point particles are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectangle?

2. 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?

3. Spaceship A orbits Earth with orbital speed vA and orbital radius $r$. Spaceship B orbits planet X that has a mass twice that of the earth.

What will be the orbital speed of spaceship B if it were to have the same orbital radius as spaceship A?

4. An electron enters an electric field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted line.

What is the path of an alpha particle entering the same field with the same velocity as the electron?

5. 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

6. Planet $X$ has half the mass and twice the diameter of planet $Y$. The escape speed from the surface of planet $X$ is given by $v$. What is the escape speed from the surface of planet $Y$ ?

7. 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?

8. 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 $B$?

9. 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 $Y$?

10. 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?

11. A point charge is moved between two parallel plates separated by a distance of $5cm$. The potential difference between the points is $50V$.

What is the average electric field $E$?

12. 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.

13. Which of the following graphs shows the variation of the gravitational field strength of a planet with distance $r$ from the surface of a planet?

A.			B.
C.			D.

14. 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?

15. 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?

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

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

18. 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?

19. 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?

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

Which of the following is correct?

21. 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?

22. An astronaut in a space station orbiting the earth experiences weightlessness.

The following are three statements about the astronaut and the space station:

• I.  The astronaut experiences no gravitational force.
• II.  The centripetal acceleration of the space station is equivalent to the gravitational field strength at that location
• III.  Both the astronaut and the space station have the same acceleration.

Which of these statements is correct?

23. 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?

24. 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?

25. 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?