1. Find the de Broglie wavelength and frequency of an electron whose speed is 10% of the speed of light. Using the EM spectrum chart, what kinds of EM waves could this de Broglie wavelength represent? Please show all calculations and explanations!
2. Calculate the de Broglie wavelength of
a. a particle of mass 1 g traveling with a speed of 2.0 m/s.
b. a He atom traveling with a speed of 103 m/s.
3) Two isolated conducting spheres of radii a and b are placed distance d away from each other. The first sphere (with radius a) has positive charge q, the second one has no excess charge. Then, the spheres are connected by thin wire. Find charges on the spheres after they are connected.
4. The electric motor of a model train accelerates the train from rest to 0.690 m/s in 20.0 ms.The total mass of the train is 875 g. Find the average power delivered to the train during the acceleration.