Concentric metallic hollow spheres of radii $R$ and $4 R$ hold charges $Q _{1}$ and $Q _{2}$ respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference $V ( R )- V (4 R )$ is
Concentric metallic hollow spheres of radii $R$ and $4 R$ hold charges $Q _{1}$ and $Q _{2}$ respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference $V ( R )- V (4 R )$ is
- [JEE MAIN 2020]
- A
$\frac{3 Q_{1}}{16 \pi \varepsilon_{0} R}$
- B
$\frac{ Q _{2}}{4 \pi \varepsilon_{0} R }$
- C
$\frac{3 Q _{1}}{4 \pi \varepsilon_{0} R }$
- D
$\frac{3 Q _{2}}{4 \pi \varepsilon_{0} R }$
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- [JEE MAIN 2023]