1. Tardigrade
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  4. A charge +q is placed at origin. There are two concentric spherical surfaces; S1 of radius R and S2 of radius 2R. Both the surfaces have their centres at the origin. Let φ1 denote the flux through S1 and φ2 the flux through S2. The relation between φ1 and φ2 is

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Q. A charge $+q$ is placed at origin. There are two concentric spherical surfaces; $S_1$ of radius $R$ and $S_2$ of radius $2R$. Both the surfaces have their centres at the origin. Let $\phi_1$ denote the flux through $S_1$ and $\phi_2$ the flux through $S_2$. The relation between $\phi_1$ and $\phi_2$ is

JIPMERJIPMER 2016Electric Charges and Fields

Solution:

According to gauss law,
$\phi = \frac{q}{\varepsilon_0} $
$\therefore \:\:\: \phi_1 = \phi_2 = \frac{q}{\varepsilon_0}$