Samples of two radioactive nuclides A and B are taken. `lambda_(A) and lambda_(B)` are the disintegration constants of A and B respectively. In which of the following cases, the two samples can simultaenously have the same decay rate at any time?A. Initial rate of decay of A is twice the initial rate of decay of B and `lambda_(A)=lambda_(B)`B. Initial rate of decay of A is twice the initial rate of decay of B and `lambda_(A)gtlambda_(B)`C. Initial rate of decay of B is twice the initial rate of decay of A and `lambda_(A)gtlambda_(B)`D. Initial rate of decay of B is same as the rate of decay of A at t=2h and `lambda_(B)=lambda_(A)`

Samples of two radioactive nuclides A and B are taken. `lambda_(A) and

1.	Samples of two radioactive nuclides A and B are taken. `lambda_(A) and lambda_(B)` are the disintegration constants of A and B respectively. In which of the following cases, the two samples can simultaenously have the same decay rate at any time?A. Initial rate of decay of A is twice the initial rate of decay of B and `lambda_(A)=lambda_(B)`B. Initial rate of decay of A is twice the initial rate of decay of B and `lambda_(A)gtlambda_(B)`C. Initial rate of decay of B is twice the initial rate of decay of A and `lambda_(A)gtlambda_(B)`D. Initial rate of decay of B is same as the rate of decay of A at t=2h and `lambda_(B)=lambda_(A)`
Answer» Correct Answer - B::D The two samples of two radioactive nuclides A and B can simultaneously have the same decay rate at any time if initial rate of of decay A is twice the initial rate of decay of B and `lambda_(A)gtlambda_(B)`. Also, when initial rate of decay of B is same as rate of decay of A at t=2h and `lambda_(B) ltlambda_(B)`. The choice (b) and (d) is correct.

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The radioactive nuclei are unstable and emit alpha `(._(2)He^(4))` , beta `(._(-1)e^(0))` and gamma `(._(0)gamma^(0))` radiations to acheive states of greater stability. Rutherford and Soddy suggested the following rules governing the radioactive decay, (i) The algebric sum of charges (atomic numbers) before and after disintegration must be the same. (ii) The sum of mass numbers before and after disintegration must also be the same. In beta decayA. A remains unaffected, Z increases by 1.B. A is unaffected, Z decreases by 1C. A increases by 1, Z is unaffactedD. A decreases by 1, Z is unaffected.
The radioactive nuclei are unstable and emit alpha `(._(2)He^(4))` , beta `(._(-1)e^(0))` and gamma `(._(0)gamma^(0))` radiations to acheive states of greater stability. Rutherford and Soddy suggested the following rules governing the radioactive decay, (i) The algebric sum of charges (atomic numbers) before and after disintegration must be the same. (ii) The sum of mass numbers before and after disintegration must also be the same. In alpha decayA. mass number A decrease by 4 and atomic number Z increases by 2.B. A decreases by 4 and Z decreases by 2C. A increases by 4 and Z decreases by 2D. A increases by 4 and Z increases by 2.
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