The Half-life Of  against . Calculate The Activity Of 1 G Sample of . Avogadro’s Number is .

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

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 .