What should be charge on a sphere of radius 2cm so that when it is brought in contact with another sphere of radius 5cm carrying a charge of \(10\mu C\), there is no net transfer of charge between the spheres?

Four point charge 10^-8 C,\(−2×{{10}^{−8}}C\) and \(-4\times {{10}^{-8}}C\) and \(6\times {{10}^{-8}}C\) are placed at the four corners of a square of side \(2\sqrt { 2 }cm. \) Calculate the electric potential at the centre of square.

A proton placed in a uniform electric field of magnitude 2000N/C moves between two points in the direction of electric field. If the distance between the points is 0.2m, find the value of
(i) p.d between the points,
(ii) work done.

A point charge \(+10\mu \) is at a distance 5cm directly above the centre of square of side 10cm as shown in fig.What is the magnitude of the electric flux through the square?

In the arrangement of capacitors shown here,the energy stored \(6\mu F\)capacitor is E. Find the following:
Energy stored in the \(12\mu F\) capacitor
Energy stored in the \(3\mu F\) capacitor
Total energy drawn from the battery.

A particle of mass 10^-4kg and charge \(5\mu C\) is thrown at a speed of 20 m/s against a uniform electric field of strength \(2\times 10^5NC^{-1}\). How much distance will it travel before coming to rest momentarily?

A charge of \(+2.0\times 10^{-8}C\) is placed on the positive plate and a charge of \(-1.0\times 10^{-8}C\) on the negative plate of a parallel plate capacitor of capacitance \(1.2\times 10^{-3}\mu F\). Calculate the potential difference between the plates.

In the circuit diagram shown here what should be the value of R so that there is no current in the branch containing 6V battery?

How many electrons pass through a lamp in 1 min, if the current is 300 mA? Given, the charge on an electron is 1.6 \(\times\)10^-19C.

A solenoid coil of 300 turns/m is carrying a current of 5 A. The length of the solenoid is 0.5 m and has a radius of 1 cm. Find the magnitude of the magnetic field well inside the solenoid.

Calculate the peak values of electric and magnetic fields produced by the radiation coming from a 100 watt bulb at a distance of 3 m. Assume that the efficiency of the bulb is 2.5% and it is a point source?

A parallel beam of light of 600nm falls on a narrow slit and the resulting diffraction patterns are observed on a screen 1.2m away. It is observed that the first minimum is at a distance of 3mm from the center of the screen. Calculate the width of the slit.

In Rutherford's nuclear model of the atom, the nucleus like the earth orbits around the sun. If the dimensions of the solar system had the same properties as those of the atom, would the earth be closer to or farther away from the sun than actually, it is? The radius of earth's orbit is about \(1.5\times { 10 }^{ 11 }m\)The radius of the sun is taken as \(7\times { 10 }^{ 8 }m\)

If in a nuclear fusion reaction, mass defect is 0.3%, then find energy released in fusion of 1kg mass.