Singly charged positive ions are kept on a circular orbit in a cyclotron. the magnetic field inside the cyclotron is 1.981 t. the mass of the ions is 3.67×10-26 kg, and speed of the ions is 2.75 percent of the speed of the light. what is the diameter of the orbit? (the speed of the light is 3.00×108 m/ m)

At 20∘c, the hole in an aluminum ring is 2.800 cm in diameter. you need to slip this ring over a steel shaft that has a room-temperature diameter of 2.804 cm . 1. to what common temperature should the ring and the shaft be heated so that the ring will just fit onto the shaft? coefficients of linear thermal expansion of steel and aluminum are 12×10−6 k−1 and23×10−6 k−1 respectively.