1. 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?

2. 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?

3. 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​​?

4. 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?

5. 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?

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

Which of the following is correct?

7. A charge of $X$ and a charge of $20nC$ are held at a fixed distance.

A point where the electric field is zero can only be found in region 1. Which of the following statements is true about the charge on $X$?

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

9. 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.

10. 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 $E$?

11. 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?

12. 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?

13. 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?

14. 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?

15. 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?

16. 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 $Y$?

17. 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?

18. 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?

19. 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?

20. 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?

21. 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.		$F\sin \theta$

22. 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

23. 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.

24. 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?

25. 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 $P$?