Consider two inertial reference frames. When an observer in each frame measures the following quantities, which measurements made by the two observers must yield the same results? (Select all that apply.)

Assume that the train shown in Figure 1-15 is 1.0 km long as measured by the observer at C ' and is moving at 150 km/h. (The point C ' is midway along this train.) What time interval between the arrival of the wave fronts at C ' is measured by the observer at C in S?

Enter a number.

1 s

Fig. 1-15

We wish to use a mass spectrometer to separate ¹⁹⁷Au from ¹⁹⁸Hg in a sample of material. Using the isotopic masses listed in Appendix A and assuming that each singly ionized atom enters the spectrometer at a speed of 4.5 10⁵ m/s, answer the following:

Figure 3-3

(a) What uniform magnetic field perpendicular to ¹⁹⁷Au's velocity is needed for the orbits to have a radius of 2.1 m?

Enter a number.

1 T
(b) What will be the separation R of the two impact points after the ions have covered half a complete circle? (See Figure 3-3.)

Enter a number.

2 mm
(c) What would your answers to (a) and (b) change to if the atoms were all doubly ionized?

Enter a number.

3 T

Enter a number.

4 mm

The work function of platinum is 6.35 eV.

A monatomic gas is confined to move in two dimensions so that the energy of a molecule is E_k = mv_x² / 2 + mv_y² / 2. What are C_V, C_P, and for this gas, in terms of R? (C_P, the heat capacity at constant pressure, is equal to C_V + nR and = C_P / C_V.)

CV =	Enter a mathematical expression. 1
CP =	Enter a mathematical expression. 2
=	Enter a mathematical expression. 3