A hollow conducting sphere of radius \(1~\text{m}\) is given a positive charge of \(10~\mu\text{C}\). The electric field at the centre of the hollow sphere will be:
1. \(60\times10^{3}~\text{Vm}^{-1}\) 2. \(90\times10^{3}~\text{Vm}^{-1}\)
3. zero 4. infinite
Subtopic:  Gauss's Law |
 93%
From NCERT
AIPMT - 1998
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If a charge \(Q\) is situated at the corner of a cube, the electric flux passing through all six faces of the cube is:

1. \(\frac{Q}{6\varepsilon_0}\) 2. \(\frac{Q}{8\varepsilon_0}\)
3. \(\frac{Q}{\varepsilon_0}\) 4. \(\frac{Q}{2\varepsilon_0}\)

Subtopic:  Gauss's Law |
 67%
From NCERT
AIPMT - 2000
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If a charge \(Q~\mu\text{C}\) is placed at the centre of the cube, the flux (In SI unit) coming out from any surface will be: 
1. \(\frac{Q}{6\varepsilon_0}\times10^{-6}\)
2. \(\frac{Q}{6\varepsilon_0}\times10^{-3}\)
3. \(\frac{Q}{2\varepsilon_0}\)
4. \(\frac{Q}{8\varepsilon_0}\)

Subtopic:  Gauss's Law |
 86%
From NCERT
AIPMT - 2001
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A charge \(q\) is located at the centre of a cube. The electric flux through any face is:
1. \(\frac{2\pi q}{6(4\pi \varepsilon_0)}\)
2. \(\frac{4\pi q}{6(4\pi \varepsilon_0)}\)
3. \(\frac{\pi q}{6(4\pi \varepsilon_0)}\)
4. \(\frac{ q}{6(4\pi \varepsilon_0)}\)

Subtopic:  Gauss's Law |
 67%
From NCERT
AIPMT - 2003
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