Please answer q1,2,3,4,5,6 with fully explanation.

1. What is the electric eld created at point C by the tinted charges A and B. it A ABC is an equilateral triangle and both A and B have a charged of 3.0 x 10'? C? 2. Two charged conducting spheres. A and B, are fixed 10 cm apart and have charges (1,. = 6.00 x 1043 and q5 = -2.00 x 10\" C. Where could you place an electron such that it would be fixed in a state of static equilibrium? A charged particle requires 3.50 x 10 "J of energy to push it 10.0cm through a uniform electric eld between a set of charged plates. It the particle has a charge of4.8 x10\"C. a. What is the magnitude of the electric eld produced by the plates? B. What is the Separation between the plates if there is a potential difference of 18V between the plates.' An astronaut with a twin travets from Earth to our nearest star Alpha Centauri which is 4.36? lightyears away. If they make a round trip travelling at 0.?50c. how much younger than their twin are they when they return to their twin who stayed on Earth the whole time? Monochromatic laser light of 633 nm is shining on aluminum. whose work function is 4.125 eV. What is the maximum speed of electrons leaving the surface of the metal? Normal microscopes are limited by the wavelength of visible light therefore cannot resolve images with less than 400 nrn of separation. An electron microscope operates at an accelerating energy of 300 keV. Assuming the electrons achieve maximum velocity. what is the maximum resolution of the microscope