Figure, shown below, shows three situations involving a charged particle and a uniformly charged spherical shell. The charges and radii of the shells are indicated in the figure. If F1, F2 and F3 are the magnitudes of the forces on the particle due to the presence of the shell in situations (I), (II) and (III), respectively, then

Question

Figure, shown below, shows three situations involving a charged particle and a uniformly charged spherical shell. The charges and radii of the shells are indicated in the figure. If F1, F2 and F3 are the magnitudes of the forces on the particle due to the presence of the shell in situations (I), (II) and (III), respectively, then (A) F3 > F2 > F1 (B) F2 > F2 = F3 (C) F3 = F2 > F1 (D) F1 > F2 > F3

Tardigrade Admin · Accepted Answer

F1 is zero as charge lies inside the shell (Electric field inside the shell due to its own charge is zero). F2=F3 as charge over the surface of the shell behaves like charge placed at the centre of the shell.

$F_{3} > F_{2} > F_{1}$

$F_{2} > F_{2} = F_{3}$

$F_{3} = F_{2} > F_{1}$

$F_{1} > F_{2} > F_{3}$

$F_{1}$ is zero as charge lies inside the shell (Electric field inside the shell due to its own charge is zero). $F_{2} = F_{3}$ as charge over the surface of the shell behaves like charge placed at the centre of the shell.

F3​>F2​>F1​

F2​>F2​=F3​

F3​=F2​>F1​

F1​>F2​>F3​

F1​ is zero as charge lies inside the shell (Electric field inside the shell due to its own charge is zero). F2​=F3​ as charge over the surface of the shell behaves like charge placed at the centre of the shell.

$F_{3} > F_{2} > F_{1}$

$F_{2} > F_{2} = F_{3}$

$F_{3} = F_{2} > F_{1}$

$F_{1} > F_{2} > F_{3}$

$F_{1}$ is zero as charge lies inside the shell (Electric field inside the shell due to its own charge is zero). $F_{2} = F_{3}$ as charge over the surface of the shell behaves like charge placed at the centre of the shell.