When a proton at rest is accelerated by a potential difference \(V\), its speed is found to be \(v\). The speed of an \(\alpha-\textit{particle}\) when accelerated by the same potential difference from rest will be:
1. | \(V\) | 2. | \(v \over \sqrt{2}\) |
3. | \(v \sqrt{2}\) | 4. | \(2V\) |
In the circuit shown in figure, energy stored in 6 capacitor will be:
1. | \(48 \times10^{-6}~ \mathrm J\) | 2. | \(32 \times10^{-6}~ \mathrm J\) |
3. | \(96 \times10^{-6}~ \mathrm J\) | 4. | \(24 \times10^{-6}~ \mathrm J\) |
The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by
1. 200 V/m, making an angle with the x-axis
2. 100 V/m, pointing towards the negative x-axis
3. 200 V/m, making an angle with the x-axis
4. 100 V/m, making an angle with the x-axis
An air capacitor of capacity is connected to a constant voltage battery of 12 V. Now the space between the plates is filled with a liquid of dielectric constant 5. The charge that flows now from battery to the capacitor is
1. 120
2. 699
3. 480
4. 24
Two identical metal plates are given charges respectively. If they are now brought close to form a parallel plate capacitor with capacitance , the potential difference between them is :
1.
2.
3.
4.
A and B are two concentric metallic shells. If A is positively charged and B is earthed, then electric
1. Field at common centre is non-zero
2. Field outside B is nonzero
3. Potential outside B is positive
4. Potential at common centre is positive
A 4 capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?
1.
2.
3.
4.
Two metallic spheres of radii 2cm and 3cm are given charges 6mC and 4mC respectively. The final charge on the smaller sphere will be if they are connected by a conducting wire
(1) 4mC
(2) 6mC
(3) 5mC
(4) 10mC
The equivalent capacitance between A and B is as the given figure:
(1)
(2)
(3)
(4) None of these