Home
Class 12
PHYSICS
A radioactive nucleus 'A' undergoes a se...

A radioactive nucleus 'A' undergoes a series of decays as given below:
`Aoversetalpha to A_1 oversetbetato A_2oversetalpha to A_3 oversetgammato A_4`.

The mass number and atomic number of `A_2` are 176 and 71 respectively. Determine the mass and atomic numbers of `A_4` and `A`.

Text Solution

Verified by Experts

When `beta^-` decay occurs,
`._72^180A oversetalpha to ._70^176A_1 overset(beta^-)to ._71^176A_2 oversetalphato._69^172A_3 oversetgamma to ._69^172A_4`
When `beta^+` decay occurs ,
`._74^180A oversetalphato._72^176A_1 overset(beta^+)to._71^176A_2 oversetalphato ._69^172A_3 oversetgammato ._69^172A_4`
In case of `beta^-` decay , the mass number of A is 180 and its atomic number is 72. In case of `beta^+` decay , the mass number of A is 180 and its atomic number is 74. In both the cases , the mass number of `A_4` is 172 and its atomic number is 69.
Promotional Banner

Topper's Solved these Questions

  • ATOMIC NUCLEUS

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE|21 Videos

  • ATOM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

  • CAPACITANCE AND CAPACITOR

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|15 Videos

Similar Questions

Explore conceptually related problems

A radioactive nucleus X decays as follows : A overset(beta^+)to A_1 oversetalpha to A_2 If the mass number and atomic number of A_2 are 176 and 71 respectively, what are the mass numbers and the atomic numbers of A_1 and A? Which of these three elements are isobars?

Write the complete symbol for : (a) The nucleus with atomic number 56 and mass number 138 , (b) The nucleus with atomic number 26 and mass number 55 , (c) The nucleus with atomic number 4 and mass number 9.

State radioactive decay law , write down the relation between radius of the nucleus and mass number of an atom.What is isotone ? Give an example .

The mass of 0.1 mol of X_(2)Y is 4.4g and the mass of 0.05 mol of XY_(2) is 2.3g. Find the atomic masses of X and Y.

The initial number of radioactive atoms in a radioactive sample is N_0 . If after time t the number of becomes N, then N=N_0e^(-lambdat) , where lambda is known as the decay constant of the element. The time in which the number of radioactive atoms becomes half of its initial number is called the half-life (T) of the element. The time in which the number of atoms falls to 1/e times of its initial number is the mean life (tau) of the element. The product lambdaN is the activity (A) of the radioactive sample when the number of atoms is N. The SI unit of activity is bequerel (Bq)' where 1 Bq = 1 decay. s^(-1) . The half-life of Iodine-131 is 8 d. What is the activity (in Bq) of 1 g of Iodine? (A) 2.3xx10^15 (B) 4.6xx10^15 (C) 6.9xx10^15 (D) 9.2xx10^15

The initial number of radioactive atoms in a radioactive sample is N_0 . If after time t the number of becomes N, then N=N_0e^(-lambdat) , where lambda is known as the decay constant of the element. The time in which the number of radioactive atoms becomes half of its initial number is called the half-life (T) of the element. The time in which the number of atoms falls to 1/e times of its initial number is the mean life (tau) of the element. The product lambdaN is the activity (A) of the radioactive sample when the number of atoms is N. The SI unit of activity is bequerel (Bq)' where 1 Bq = 1 decay. s^(-1) , The half-life of Iodine-131 is 8d. Its decay constant (in SI) is - (A) 10^(-6) (B) 1.45xx10^(-6) (C) 2xx10^(-6) (D) 2.9xx10^(-6)

The initial number of radioactive atoms in a radioactive sample is N_0 . If after time t the number of becomes N, then N=N_0e^(-lambdat) , where lambda is known as the decay constant of the element. The time in which the number of radioactive atoms becomes half of its initial number is called the half-life (T) of the element. The time in which the number of atoms falls to 1/e times of its initial number is the mean life (tau) of the element. The product lambdaN is the activity (A) of the radioactive sample when the number of atoms is N. The SI unit of activity is bequerel (Bq)' where 1 Bq = 1 decay. s^(-1) . The half-life of Iodine-131 is 8 d. Its mean life (in SI) is - (A) 4.79xx10^5 s. (B) 6.912xx10^5 s. (C) 9.974 xx 10^5 s. (D) 22.96xx10^5 s.

The series of natural number is divided into groups 1 , 2, 3, 4,...... and so on. Then the sum of the numbers in the nth group is

In an atom, the total number of electrons having quantum numbers n=4, abs(m_l) =1 and m_s=-(1/2) is

The number primary, secondary, tertiary and quaternary carbon atoms in 2,2,4 - trimethylpentane is respectively-