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 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.

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 gm will disintegrate into its mass of 0.5 gm.

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.

The rate at which a substrance reacts is proportional to its active mass. This statement is :

In a reaction the rate of reaction is proportional to its active mass, this statement is known as

In a reaction the rate of reaction is proportional to its active mass, this statement is known as

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 rate of decay of the mass of a radioactive substance at any time is 10^-4 times its mass at that instant. After 10,000 years, show that the mass will be less than half of original mass.

The rate of decay of the mass of a radioactive substance at any time is k times its mass at that time. The differential equation satisfied by the mass of the substance is