- 1(current)
Q. No.
1. \(2 ~\text{NC}^{-1}\)
2. \(1~\text{NC}^{-1}\)
3. \(0.5~\text{NC}^{-1}\)
4. zero
1. \(\large\frac{Eqm}{t}\)
2. \(\large\frac{E^2q^2t^2}{2m}\)
3. \(\large\frac{2E^2t^2}{qm}\)
4. \(\large\frac{Eq^2m}{2t^2}\)
Twelve point charges each of charge \(q\) C are placed at the circumference of a circle of radius \(r\) m with equal angular spacing. If one of the charges is removed, the net electric field (in N/C) at the centre of the circle is:
(\(\varepsilon_0 \)-permittivity of free space)
1. \(\frac{13q}{4\pi \varepsilon_0r^2}\)
2. zero
3. \(\frac{q}{4\pi \varepsilon_0r^2}\)
4. \(\frac{12q}{4\pi \varepsilon_0r^2}\)
A spherical conductor of radius \(10~\text{cm}\) has a charge of \(3.2 \times 10^{-7}~\text{C}\) distributed uniformly. What is the magnitude of the electric field at a point \(15~\text{cm}\) from the center of the sphere? \(\frac{1}{4\pi \varepsilon _0} = 9\times 10^9~\text{N-m}^2/\text{C}^2\)
1. \(1.28\times 10^{5}~\text{N/C}\)
2. \(1.28\times 10^{6}~\text{N/C}\)
3. \(1.28\times 10^{7}~\text{N/C}\)
4. \(1.28\times 10^{4}~\text{N/C}\)
A hollow metal sphere of radius \(R\) is uniformly charged. The electric field due to the sphere at a distance \(r\) from the centre:
| 1. | decreases as \(r\) increases for \(r<R\) and for \(r>R\). |
| 2. | increases as \(r\) increases for \(r<R\) and for \(r>R\). |
| 3. | zero as \(r\) increases for \(r<R\), decreases as \(r\) increases for \(r>R\). |
| 4. | zero as \(r\) increases for \(r<R\), increases as \(r\) increases for \(r>R\). |
- 1(current)
Q. No.
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