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The half-life periof of a radioactive el...

The half-life periof of a radioactive element is `40` days. If `32 g` of this element is stored for `160 days`, calculate the weight of the element that would remain in gram.

Text Solution

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The correct Answer is:
2

Amount remaining after `n` half lives is
`=N_(0)/2^(n) (N_(0)= "initial amount")`
`=32/((2)^(4))=2 g [n= "number of half lives" =169/40 =4]`
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Knowledge Check

  • Half-life period for radioactive element is

    A
    Always constant
    B
    Variable
    C
    Independent of final concentrationn
    D
    Independent of initial concentration
  • The half-life period of a radioactive element is 140 day. After 560 days, 1 g of the element will reduce to

    A
    `1//8 g`
    B
    `1//16 g`
    C
    `1//4 g`
    D
    `1//2 g`
  • The half-life period of radioactive element is 140 days. After 560 days, 1 g of element will reduce to

    A
    `1/2`g
    B
    `1/4`g
    C
    `1/8`g
    D
    `1/16`g
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