Question

The half-life of  against . Calculate the activity of 1 g sample of . Avogadro’s number is .

Solution

Correct option is

 

1 gram-atom of  has a mass of 238 g and contains  atoms. Therefore, the number of atoms in 1g of 

          

              .  

The half-life T of    

        

Therefore, the decay constant of 

        

           

           

The activity or rate disintegration at any instant, when the number of atoms is N, is 

        

            

            

            

SIMILAR QUESTIONS

Q1

1 milligram radium has . Its half-life is 1620 years. How many radium atoms will disintegrate from 1 milligram of pure radium in 3240 years?

Q2

A sample of radioactive substance has 106 radioactive nuclei. Its half-life time is 20 seconds. How many nuclei will remain after 10 seconds?

Q3

A sample contains 10–2 kg each of the two substances A and B with half-lives 4 seconds and 8 seconds respectively. Their atomic weights are in the ratio of 1 : 2. Find the amounts of A and B after an interval of 16 seconds.

Q4

The half-life of radius is 1600 years. After how many years 25% of a radium block remains undecayed?

Q5

The half-life of polonium is 140 days. In what time will 15 g of polonium be disintegrated out of its initial mass of 16 g?

Q6

The activity of a radioactive element reduces to th of its original value in 30 years. Find the half-life and the decay constant of the element.

Q7

The half-life of thorium-X is 3.64 days. After how many days will 0.1 of the mass of a sample of the substance remain undecayed?

Q8

How much of 5.00 gram of polonium will decay in one year? The half-life of polonium is 138 days.

  

Q9

The half-life of a radioactive substance is  against . Calculate the decay rate for  atoms of the substance.

Q10

The half-life of  is 28 years. How much is the disintegration rate of 15 mg of this isotope? The Avogadro’s number is .