It is known that the decay rate of radium is directly proportional to its quantity at each given instant. Find the law of variation of a mass of radium as a function of time if at t=0, the mass of the radium was `m_0` and during time `t_0` `alpha`% of the original mass of radium decay.

The decay rate of radium at any time t is proportional to its mass at that time. Find the time when the mass will be halved of its initial mass.

The decay rate of radium at any time t is proportional to its mass at that time. Find the time when the mass will be halved of its initial mass.

The decay rate of radium at any time t is proportional to its mass at that time.Find the time when the mass will be halved of its initial mass.

The rate of decay of a radioactive substance at any time is proportional to its mass at that instant. If m_(0) be the mass of the substance at time t=0, find the law of variation of its mass as a function of time t.

A certain mass of radium is reduced by 70% in 2780 years. The decay constant is

Radium decomposes at a rate proportional to the quantity of radium present. It is found that in 25 years, approximately 1*1 precent of a certain quantity of radium has decomposed. Determine approximately how long it will take for one-half of the original amount of radium to decompose ? (log_(e)0.989=-0*01106, log_(e)2=0*6931)

The rate of disintegration of a radioactive element at any time t is proportional to its mass at that time. Find the time during which the original mass of 1.5 g m will disintegrate into its mass of 0.5 gm.

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.