Two equally charged tiny spheres of mass 1.0 g are placed 2.0 cm apart. when released, they begin to accelerate away from each other at 414 m/s2. what is the magnitude of the charge on each sphere, assuming only that the electric force is present?

Charge,

Explanation:

It is given that,

Mass of spheres, m = 1 g = 0.001 kg

Distance between spheres, r = 2 cm = 0.02 m

Acceleration when they released,

We need to find the magnitude of the charge on each sphere. The electric force is given by :

Also, F = ma

So, the magnitude of charge on each spheres is . Hence, this is the required solution.                                        

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.