1. 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?

2. 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 $Y$?

3. 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.

4. 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?

5. 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?

6. 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.

7. 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?

8. 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​​?

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. 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 $B$?

11. 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?

12. 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?

13. 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.

14. 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?

15. 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.

16. 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?

17. 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?

18. 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.

19. 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?

20. 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 $Z$?

21. 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

22. 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?

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

Which of the following is correct?

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

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