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Consider the force \(F\) on a charge ' \(q\) ' due to a uniformly charged spherical shell of radius \(R\) carrying charg…

Q1

Consider the force \(F\) on a charge ' \(q\) ' due to a uniformly charged spherical shell of radius \(R\) carrying charge \(Q\) distributed uniformly over it. Which one of the following statements is true for \(F\), if ' \(q\) ' is placed at distance \(r\) from the center of the shell?

[JEE Main 2020, 6 Sep (Shift 2)]

a

\(F=\frac{1}{4 \pi \varepsilon_0} \frac{Q q}{r^2}\) for all \(r\)

b

\(\frac{1}{4 \pi \varepsilon_0} \frac{Q q}{r^2}>F>0\) For \(r<R\)

c

\(F=\frac{1}{4 \pi \varepsilon_0} \frac{Q q}{r^2}\) for \(r>R\)

d

\(F=\frac{1}{4 \pi \varepsilon_0} \frac{Q q}{R^2}\) for \(r<R\)

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