4. Eight identical spherical raindrops are each at a potential V. They coalesce to make one spherical raindrop whose potential is:

(A) V/8

(B) V/2

(C) 2V

(D) 4V

(E) 8V

11. Eight identical spherical raindrops are each at a potential V, relative to the potential far away. They coalesce to make one spherical raindrop whose potential is: (A) V/8 (B) V/2 (C) 2V (D) 4V.

5. A parallel plate capacitor, with air dielectric, is charged by a battery after which the battery is disconnected. A slab of glass dielectric is then slowly inserted between the plates. As it is being inserted,(A) a force repels the glass out of the capacitor.(B) the glass makes the plates repel each other.(C) no force acts on the glass.(D) a net charge appears on the glass.(E) a force attracts the glass into the capacitor.

6. An uncharged 2.0-μF capacitor is connected in series with a 50-kΩ resistor, an ideal 10.0-V battery, and an open switch. What is the voltage across the capacitor 100ms after closing the switch?(A) 2.0V(B) 3.7V(C) 5.0V(D) 6.3V(E) 10.0V

7. A 1500-m-wide dam holds back a lake 95 m deep. The torque that the water exerts about the bottom edge of the dam is(A) 2.1×10¹² N·m(B) 1.3×10¹¹ N·m(C) 2.1×10¹⁰ N·m(D) 1.3×10¹⁰ N·m(E) 2.1×10⁹ N·m

8. A solid cylinder of mass M and radius R is mounted on a axle through its center. The axle is attached to a horizontal spring of constant k, and the cylinder rolls back and forth without slipping. The angular frequency of the motion is (A) (B)(C)(D)(E)

9. The mass of a deuteron is about 2 u, compared with a neutron's 1u. The fraction of a neutron's kinetic energy that's transferred to an initially stationary deuteron in a head-on collision is(A) 11%(B) 25%(C) 50%(D) 75%(E) 89%

10. A gas mixture contains monatomic argon and diatomic oxygen. Suppose the temperature range is such that the numbers of degrees of freedom are 3 for the monatomic argon and 5 for the diatomic oxygen. An adiabatic expansion that doubles its volume results in the pressure dropping to one-third of its original value. What fraction of the molecules are argon?(A) 45%(B) 62%(C) 79%(D) 85%(E) 93%

11. A satellite is in circular orbit at an altitude of 1500 km above the surface of a non-rotating planet with an orbital speed of 9.2 km/s. The minimum speed needed to escape from the surface of the planet is 14.9 km/s. The orbital period of the satellite is closest to(A) 72 min.(B) 65 min.(C) 58 min.(D) 51 min.(E) 44 min.

12. A constant current is sent through a helical coil. The coil:(A) tends to rotate about its axis(B) tends to get longer(C) tends to get shorter(D) produces zero magnetic field at its center(E) none of the above

13. Electrons (mass m, charge −e) are accelerated from rest through a potential difference V and are then deflected by a perpendicular magnetic field B. The radius of the resulting electron trajectory is:(A)(B)(C)(D) (E)

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