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Q.

Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R) – V(4R) is :

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a

3Q14πε0R

b

Q24πε0R

c

3Q116πε0R

d

3Q24πε0R

answer is C.

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Detailed Solution

Surface charge densities are equal   ∴Q14πR2=Q24π4R2  ⇒Q2=16Q1Potential of inner shell  =kQ1R+kQ24RPotential of outer shell =   kQ14R+kQ24R∴   Potential difference between shells =3kQ14R   =  3Q116πε0R
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Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R) – V(4R) is :