Two uniform solid balls, one of radius r and mass m, the other of radius 2 r and mass 8 m, roll down a high incline. they start together from rest at the top of the incline. which one will reach the bottom of the incline first?

First ball reaches at the bottom first.

Explanation:

m1 = M

r1 = R

m2 = 8M

r2 = 2R

Moment of inertia of the solid ball is

I = 2/5 mr^2

So, the radius of gyration of the ball

So,

The ball having more acceleration reaches the first at the bottom of the inclined plane.

The acceleration is given by

So,

So, a1 > a2

Thus, the first ball reaches at the bottom first.

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.

the temperature and the pressure affect solubility. temperature affects by changing the properties of the solvent. the increase in pressure increases solubility, the decrease in pressure decreases solubility.