Problem 11(6.25 points) The diagram shows a pair of heavily charged plastic cube

Question

Problem 11(6.25 points) The diagram shows a pair of heavily charged plastic cubes that attract each other (The arrows represent the forces acting on the cubes) Cube 3 is a conductor (i.e. it can be polarized) and is uncharged. Which of the following illustrates the forces between cubes 1 and 3 and between cubes 2 and 3? (no arrow means F-o) ?? ?? Problem 12(6.25 points) A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 12.4° with the normal. What is the speed of light in the transparent material? (c 3.0 x 108 m/s) 8 n2 O 10 m/s B2.0 x 108 m/s in(Iz.yinCr.Y) C)25 × 108 m/s 7.29 D)3.0 x 1o m/s 2 2.91 1.003x Problem 13(4.00 points) In the illustration, two particles carry the same magnitude of charge, one is positive and the other is negative. Which of the dashed lines could be an equipotential line of the two charged particles? A) The cirele around one charged particle, with every point on the circle equidistant from the center of the charged particle. e vertical line that is located halfway between the charges The horizontal line that runs directly through the center of each None of the three lines could be an equipotential line for both charges

Explanation / Answer

12) A) 1.0*10^8 m/s

given

theta_i = 40 degrees

theta_r = 12.4 degrees

n1 = 1 (for air)

n2 = n

use Snell's law

sin(theta_i)/sin(theta_r) = n2/n1

sin(40)/sin(12.4) = n/1

==> n = sin(40)/sin(12.4)

= 2.99

speed of light in the material, v = c/n

= 3*10^8/2.99

= 1*10^8 m/s

13) B) the vertical line that is located halfway between the charges.

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