Under the right conditions two high-energy "gamma ray" photons of light can create one electron and one
antielectron (called a "positron") from empty space, provided the
photons then disappear. A positron can be assumed here to have all
the same properties as an electron except that it's charge is the
opposite sign, and is thus given by the value +e. Assume that two
gamma ray photons coincide at one point in space labelled by the large
dot in the figure, and that they produce an electron and positron which
emerge from that point in exactly opposite directions with one moving
only in the +x-direction and the other moving only in the -x-direction.
Assume that all space is filled by a uniform magnetic field as indicated
in the figure, with a strength of 1.0 T, and assume that the speed of the
electron is initially twice that of the positron. Ignore any electric and
magnetic force between the electron and positron themselves.
a) Treating the electron and positron as point particles, sketch
their trajectories on the figure.

You have been consulted by the mobile phone company hookup about a new augmented reality product called “brows”. they want to develop an alternative to google glasses, which, you recall, is a proposed new product which plans to superimpose a whole range of wireless google services over the user’s ordinary vision of the world. these appear in little circles and ovals, and let you phone people, take photographs, navigate across cities and inside buildings, find shops and update your social media. brows would do this too, but not be limited to special google services. the user would wear a small cylinder-shaped device designed to fit on top of their existing eyewear (glasses or sunglasses). it would project a reversed image onto the inside of the lenses, the reflection of which would be in focus for the user. instead of voice control, the user would control the device by eye and neck movements, which the device would track. the device would connect via bluetooth to the user’s phone, which would supply most of the computing power and wireless connectivity. hookup also wants to know what existing services would be most in demand, and which would not work well with brows. using your knowledge of augmented reality, wearable technology and interface design, is the project feasible? if not, why not? if feasible, how could the product need to be modified for a better experience?