An uncharged parallel-plate capacitor is connected through an open switch to a battery of voltage VV. The switch is closed and the capacitor is allowed to charge. As the capacitor is charged, energy is transferred to it from the battery. When the capacitor is fully charged, the energy stored in the capacitor is U1U1 . The energy stored in the capacitor when the stored charge is q02q02 is

(1/2)U₁

Explanation:

An uncharged parallel-plate capacitor is connected through an open switch to a battery of voltage VV. The switch is closed and the capacitor is allowed to charge. As the capacitor is charged, energy is transferred to it from the battery. When the capacitor is fully charged, the energy stored in the capacitor is U1U1 . The energy stored in the capacitor when the stored charge is q₁/2 is

Solution:

A capacitor is an electrical device used to store electrical energy in an electric field. The energy stored in a capacitor is given by:

U = (1/2)QV; where U is the energy stored, Q is the charge and V is the voltage applied.

The energy stored in a fully charged capacitor with a charge q₁ and battery of voltage V is given as:

U₁ = (1/2)q₁V

If the stored charge is q₁/2, the energy stored (U₂) becomes:

U₂ = (1/2)(q₁ / 2)V

U₂ = (1/2)*  (1/2)q₁V

U₂ = (1/2)U₁

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

wire in brush may conduct electricity from cell to drill and vice versa electrc shock possible