1. See Fig.1, the wall of an enclosed tank is drilled a small hole whose diameter is much smaller than the diameter of the tank. The hole is open to the atmosphere of pressure P0. The air above the liquid is maintained at a pressure P1. While the speed of the leaking fluid from the hole is V0, please derive the liquid density in terms of gravitational constant g, the depth H from liquid top to the hole, and depth B from the hole to the tank bottom, P1 and P0. (A)(B)(C)(D)

10. Figure 5 illustrates a particle accelerator called cyclotron. It is composed of two hollow metal semicircular containers D1 and D2, and a source of charged particle, e.g., proton, at the center. A high frequency alternating electric potential is applied to D1 and D2, which will generate an alternating electric field in the gap between D1 and D2. A uniform and static magnetic field B is applied vertically to bend the trajectory of a charged particles in a cyclotron. In order to accelerate the charged particle, at each time when the particle passes the gap, one has to change the direction of . Please calculate the angular frequency of the alternating electric voltage in terms of particle mass m, charge e, magnitude of the static magnetic field . (A)(B)(C)(D)

相關試題

相關試卷