Three points A, B and C are shown for different systems of charge configuration. A charge +Q is uniformly distributed in I, II and III but a point charge +Q is involved in IV. E represents electric field, V represents electric potential. $(K = \frac{1}{4 π ε_{0}} a n d R = R a d i u s i n e a c h c a s e)$

Which one of the following will be correct combination for point A?

II (iv) Q

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III (i) R

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IV (iii) S

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I (ii) P

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Solution

The correct option is C IV (iii) S
$\begin{matrix} r < R & r < R F o r c o n d u c t i n g s h e l l & E = 0 & E = \frac{K Q}{r^{2}} V = \frac{K Q}{R} & V = \frac{K Q}{r} \end{matrix}$

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Similar questions

\begin{matrix} C o l u m n I & C o l u m n I I & C o l u m n I I I A . R e s t i n g m e m b r a n e p o t e n t i a l & (i) N A^{+} c h a n n e l g e t o p e n & (p) N a^{+} a n d K^{+} p u m p s a r e r e s p o n s i b l e f o r i t B . A c t i o n p o t e n t i a l & (i i) N a^{+} c h a n n e l i s c l o s e d & (q) L a s t f o r v e r y s h o r t t i m e C . D e p o l a r i s a t i o n & (i i i) N a^{+} i o n s a r e m o r e o n o u t e r s i d e o f m e m b r a n e & (r) K^{+} i o n s m o v e o n o u t e r s i d e D . R e p o l a r i s a t i o n & (i v) N a^{+} i o n s a r e m o r e o n i n n e r s i d e o f m e m b r a n e & (s) P o s i t i v e c h a r g e o n i n n e r s i d e o f m e m b r a n e \end{matrix}

q_{1}, q_{2},

q_{3}

C_{1}, C_{2}

C_{3}

i.	$q_{1} (in μ C)$	p.	50
ii.	$q_{2} (in μ C)$	q.	10/3
iii.	$q_{3} (in μ C)$	r.	140/3
iv.	Potential difference across the 6 $μ F$ capacitor is (in V)	s.	25/3

\begin{matrix} C o l u m n I & C o l u m n I I & C o l u m n I I I A . R e s t i n g m e m b r a n e p o t e n t i a l & (i) N A^{+} c h a n n e l g e t o p e n & (p) N a^{+} a n d K^{+} p u m p s a r e r e s p o n s i b l e f o r i t B . A c t i o n p o t e n t i a l & (i i) N a^{+} c h a n n e l i s c l o s e d & (q) L a s t f o r v e r y s h o r t t i m e C . D e p o l a r i s a t i o n & (i i i) N a^{+} i o n s a r e m o r e o n o u t e r s i d e o f m e m b r a n e & (r) K^{+} i o n s m o v e o n o u t e r s i d e D . R e p o l a r i s a t i o n & (i v) N a^{+} i o n s a r e m o r e o n i n n e r s i d e o f m e m b r a n e & (s) P o s i t i v e c h a r g e o n i n n e r s i d e o f m e m b r a n e \end{matrix}

u_{y}

u_{x}

\begin{matrix} List-I & List-II (I) & Time of flight & (P) & greater for A only (II) & \frac{u_{y}}{u_{x}} & (Q) & greater for C only (III) & u_{x} & (R) & Equal for A and B (IV) & u_{x} u_{y} & (S) & Equal for B and C \end{matrix}

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