2. Two particles of the shot into a region that contains a uniform electric fiel

Question

2. Two particles of the shot into a region that contains a uniform electric field as shown. The particles have the same initial velocities in the positive x direction. The lines, numbered 1 through 5, same mass carry charges +3Q and -2Q, respectively. They are ndicate possible paths for the particles. If the electric field points in the negative y direction, what will be the resulting paths for these particles? A) path 1 for +3Q and path 4 for -2Q B) path 3 for +3Q and path 2 for -2Q C) path 4 for +3Q and path 3 for -20 D) path 2 for +3Q and path 5 for -2Q E) path 5 for +3Q and path 2 for -2Q 3. Two identical conducting spheres carry charges of +5.0 pC and-1.01C, respectively. The centers of the spheres are initially separated by a distance L The two spheres are brought together so that they are in contact. The spheres are then returned to their original separation L. What is the ratio of the magnitude of the electric force on either sphere after the spheres are touched to that before they were touched? A) 1/1 B) 4/5 C) 9/5 D) 5/1 E) 4/9

Explanation / Answer

According to the concept of the coulombs inverse square law

Force b/w after the sphere is touched =>F'=k(q1+q2)^2/4r^2

Force b/w before the sphere is touched=>F=kq1q2/r^2

Given that

Charge q1=+5*10^-6 C

Charge q2=-1*10^-6 C

Now we find the ratio of the electric force after and before touching

F'/F=(q1+q2)^2/4q1q2

=(5-1)^2*10^-12/4*5*-1*10^-12

=4/20

=4/5

Therefore the correct option is B

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