An ideal parallel-plate capacitor consists of a set of two parallel plates of area a separated by a very small distance d. when this capacitor is connected to a battery that maintains a constant potential difference between the plates, the energy stored in the capacitor is u0. if the separation between the plates is doubled, how much energy is stored in the capacitor? an ideal parallel-plate capacitor consists of a set of two parallel plates of area a separated by a very small distance d. when this capacitor is connected to a battery that maintains a constant potential difference between the plates, the energy stored in the capacitor is u0. if the separation between the plates is doubled, how much energy is stored in the capacitor? u0/2 u0 u0/4 4u0 2u0

U0/2

Explanation:

The potential energy stored by a capacitor is given by:

(1)

where

C is the capacitance

V is the potential difference applied across the capacitor

The capacitance of the parallel plate capacitor, at the beginning, is given by

where is the permittivity of free space, A is the area of the plates, and d is the separation between the plates. Substituting this into eq.(1), we can write the initial potential energy stored in the capacitor as

Later, the separation between the plates is doubled:

while the potential difference is kept constant. Therefore, we can calculate the new potential energy:

So, we see that the potential energy has been halved.

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.

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length