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A sample contains 10^(-2) kg of two subs...

A sample contains `10^(-2)` kg of two substances A and B with half lives of 4 and 8 sec repsectively (Given that atomic mass of B is twice of A ).
The mass of A and B left after 16 second is :

A

0.625 g 2.50 g

B

0.625 g , 0.252 g

C

0.8 g, 0.2 g

D

0.8 g, 0.2 g

Text Solution

Verified by Experts

The correct Answer is:
A
For A : `N_(0) = 10^(-2) xx 10^(3) = 10` g
`t = (2.303)/(lambda) log " "(N_(0))/(N)`
`16 = (2.303 xx 4)/(0.693) log "" (10)/(w_(A)) or log " " (10)/(w_(A)) = 1.2036`
For B : `N_(0) = 10^(-2) xx 10^(3), N_(0) = 10 g`
`16 = (2.303)/(0.693) log "" (10)/(W_(B)) " "therefore w_(B) = 2.50` g
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Knowledge Check

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    A
    `3 : 2`
    B
    `2 : 1`
    C
    ` 4 : 1`
    D
    `3 : 4`

  • A sample contains 10^(-2) kg of two substances A and B with half lives of 4 and 8 sec repsectively (Given that atomic mass of B is twice of A ). The ratio of average life of A and B is :

    A
    `1 : 2`
    B
    `2 : 1`
    C
    `1 : 4`
    D
    `4 :1`

  • A radioactive sample contains 10^(-3) kg each of two nuclear species A and B with half-life 4 days and 8 days, respectively. The ratio of the amounts of A a nd B after period of 16 days is

    A
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    B
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    C
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    D
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