A very thin glass rod 4 m long is rubbed all over with a silk cloth (see figure below). It gains a uniformly distributed charge +1.9 ? 10 ^?6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each gain a uniformly distributed charge of -6.9 ? 10 ^?8 C. The balloons are near the midpoint of the glass rod, with their centers 3 cm from the rod. The balloons are 2 cm apart (4.4 cm between centers).

(a) Find the magnitude of the electric field at the location marked by the ?, 0.6 cm to the right of the center of the left balloon.

(Also calculate the angle the electric field makes with the horizontal. (Take the horizontal to be the +x axis pointing to the right.)

(b) Next, a neutral hydrogen atom is placed at that same location (marked by the ?). Draw a diagram showing the effect on the hydrogen atom while it is at that location.

The polarizability of atomic hydrogen has been measured to be ?= 7.4 ? 10 ^?41 C ? m/(N/C). What is the distance between the center of the proton and the center of the electron cloud in the hydrogen atom?

Length 4 m (drawing not to scale) 3 cm ,2 cm 0.6 cm Q Radius 1.2 cm