Two spherical shells are as shown in figure.Let r be the distance of a point from their common centre. Then, match the following columns and mark the correct choice from the given codes. Column-I Column-IIi.Electric field for r < R1p.is constant for q2 and vary for q1ii.Electric potential for r < R1q.is zero for q2 and vary for q1iii.Electric potential for R1 < r <R2r.is constantiv.Electric field for R1 < r <R2s.is zeroCodes:

For r < R, E = 0 as no charge is inside region r < R1∴E = 0 at all points For r<r1, dVdx=-E=0⇒ V = constant for r < R1For R1 < r < R2, potential is constant for q2 as point lies inside the sphere of radius R2.Also, for R1 < r < R, charge q2 does not contribute to the field as it lies outside the surface.

Two spherical shells are as shown in figure.Let r be the distance of a point from their common centre. Then, match the following columns and mark the correct choice from the given codes. Column-I Column-IIi.Electric field for r < R1p.is constant for q2 and vary for q1ii.Electric potential for r < R1q.is zero for q2 and vary for q1iii.Electric potential for R1 < r <R2r.is constantiv.Electric field for R1 < r <R2s.is zeroCodes:

For r < R, E = 0 as no charge is inside region r < R1∴E = 0 at all points For r<r1, dVdx=-E=0⇒ V = constant for r < R1For R1 < r < R2, potential is constant for q2 as point lies inside the sphere of radius R2.Also, for R1 < r < R, charge q2 does not contribute to the field as it lies outside the surface.

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Two spherical shells are as shown in figure.
Let r be the distance of a point from their common centre. Then, match the following columns and mark the correct choice from the given codes.
Column-I Column-II
i. Electric field for r < R₁ p. is constant for q₂ and vary for q₁
ii. Electric potential for r < R₁ q. is zero for q₂and vary for q₁
iii. Electric potential for R₁ < r <R₂ r. is constant
iv. Electric field for R₁ < r <R₂ s. is zero
Codes:

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i-s, ii-r, iii--p, iv-q

i--q, ii-p, ili-r, iv-s

i-p, ii--q, iii-r, iv-s

i-r, ii-s, iii-p, iv--q

answer is A.

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Detailed Solution

For r < R, E = 0 as no charge is inside region r < R₁

$∴$ E = 0 at all points

$For r < r_{1}, \frac{dV}{dx} = - E = 0$

⇒ V = constant for r < R₁
For R₁ < r < R₂, potential is constant for q₂ as point lies inside the sphere of radius R₂.
Also, for R₁ < r < R, charge q₂ does not contribute to the field as it lies outside the surface.

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