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
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 :