${q_1},\;{q_2},\;{q_3}$ and ${q_4}$ are point charges located at points as shown in the figure and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to the Gauss’s law
${q_1},\;{q_2},\;{q_3}$ and ${q_4}$ are point charges located at points as shown in the figure and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to the Gauss’s law
- A
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{{q_1} + {q_2} + {q_3}}}{{2{\varepsilon _0}}}$
- B
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{({q_1} + {q_2} + {q_3})}}{{{\varepsilon _0}}}$
- C
$\oint_s {({{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}).d\vec A} = \frac{{({q_1} + {q_2} + {q_3} + {q_4})}}{{{\varepsilon _0}}}$
- D
None of the above
Similar Questions
In $1959$ Lyttleton and Bondi suggested that the expansion of the Universe could be explained if matter carried a net charge. Suppose that the Universe is made up of hydrogen atoms with a number density $N$, which is maintained a constant. Let the charge on the proton be :
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$(a)$ Find the critical value of $y$ such that expansion may start.
$(b)$ Show that the velocity of expansion is proportional to the distance from the centre.
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${e_p}{\rm{ }} = - {\rm{ }}\left( {1{\rm{ }} + {\rm{ }}y} \right)e$ where $\mathrm{e}$ is the electronic charge.
$(a)$ Find the critical value of $y$ such that expansion may start.
$(b)$ Show that the velocity of expansion is proportional to the distance from the centre.
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- [IIT 2022]
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