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. The current $I$ in the conductor wire $X$ is decreasing which induces currents both in loops $Y$ and $Z$. The conductor wire and the loops lie in the same plane.

What is the direction of the induced currents in loop $Y$ and loop $Z$?

3. 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 $P$?

4. A proton and another object with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

5. 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?

6. 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.

7. 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?

8. 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?

9. 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?

10. 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?

11. 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?

12. 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?

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. An electron enters a region of magnetic field with a velocity as shown in the diagram. The path followed by the electron is shown by the dotted line. What is the direction of the magnetic field in this region?

15. 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?

16. 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 $X$?

17. 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?

18. The centers of three masses lie on the same line. The centers of the masses are separated as shown.

The net gravitational force on m2​ is zero when the value of $d$ is one third of $x$. What is the ratio m1/m3​​?

19. 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.

20. 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 $Y$?

21. 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.

22. 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?

23. 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?

24. 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?

25. 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?