The equivalent capacitance of the circuit is:
| 1. | \(200~\text{pF}\) | 2. | \(\dfrac{200}{3}~\text{pF}\) |
| 3. | \(200~\mu\text{F}\) | 4. | \(150~\text{pF}\) |
A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery. How much electrostatic energy is stored in the capacitor?
1. \(3.1\times10^{-8}~\text J\)
2. \(2.9\times10^{-8}~\text J\)
3. \(3.3\times10^{-8}~\text J\)
4. \(1.5\times10^{-8}~\text J\)
| Lowest point | Highest point | |
| 1. | \(mg-T_1 \) | \(mg+T_2 \) |
| 2. | \(mg+T_1\) | \(mg+T_2\) |
| 3. | ||
| 4. |
A rocket with a lift-off mass of \(20,000\) \(\mathrm{kg}\) is blasted upwards with an initial acceleration of \(5~\mathrm{ms}^{-2}\). Then initial thrust (force) of the blast is:
(Take \(g=10\) \(\mathrm{ms}^{-2}\))
1. \(7 \times 10^5 \mathrm{~N} \)
2. \(0 \)
3. \(2 \times 10^5 \mathrm{~N} \)
4. \(3 \times 10^5 \mathrm{~N}\)
A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}. \) The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is:
\(\left( \dfrac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2 \right) \)
| 1. | \(200~\text{V}\) | 2. | \(400~\text{V}\) |
| 3. | zero | 4. | \(50~\text{V}\) |
What will be the reading of the spring balance in the given setup? (take \(g=10~\text{m/s}^2\) )

1. \(60~\text N\)
2. \(40~\text N\)
3. \(50~\text N\)
4. \(80~\text N\)
A point mass \(m\) is moved in a vertical circle of radius \(r\) with the help of a string. The velocity of the mass is \(\sqrt{7gr} \) at the lowest point. The tension in the string at the lowest point is:
| 1. | \(6 \text{mg}\) | 2. | \(7 \text{mg}\) |
| 3. | \(8 \text{mg}\) | 4. | \( \text{mg}\) |
The equivalent capacitance across \(A\) and \(B\) in the given figure is:

| 1. | \( \dfrac{3}{2}C\) | 2. | \({C}\) |
| 3. | \( \dfrac{2}{3}{C}\) | 4. | \( \dfrac{5}{3}C\) |
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. | \(\frac{Q}{2\varepsilon_0}\) |
A rigid rod is placed against the wall as shown in the figure. When the velocity at its lower end is \(10\) ms-1 and its base makes an angle \(\alpha=60^\circ\) with horizontal, then the vertical velocity of its end \(\mathrm{B}\) (in ms-1) will be:
| 1. | \(10\sqrt{3}\) | 2. | \(\frac{10}{\sqrt{3}}\) |
| 3. | \(5\sqrt{3}\) | 4. | \(\frac{5}{\sqrt{3}}\) |