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The half - life of ^(215) At is 100 mu ,...

The half - life of `^(215) At` is `100 mu , s.`The time taken for the radioactivity of a sample of `^(215) At` to decay to `1//16^(th)` of its initially value is

A

`400mus`

B

`6.3mus`

C

`40mus`

D

`300mus`

Text Solution

Verified by Experts

The correct Answer is:
A
If R is activity of radioactive substance after n half lives, then `R=R_(0)((1)/(2))^(n),(R_(0))/(16)=R_(0)((1)/(2))^(n)`
`therefore" "n=4, t=nT_(1//2)=4xx100=400mus`
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The half life of At^(215) is 100 mu The time taken for the radiocatively of sample of At^(215) to decay to (1)/(16) th of its initial value

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Knowledge Check

  • The half - life of ^(215) At is 100 mu , s. The time taken for the radioactivity of a sample of ^(215) At to dacay to 1//16^(th) of its initialy value is

    A
    `400 mu s `
    B
    `63 mu s `
    C
    `40 mu s `
    D
    `300 mu s `

  • Read the following : (i) The half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. Initially both of them have the same number of atoms. Then Y will decay at a faster rate the X. (ii) The electron emitted in beta radiation originates from decays of a neutron in a nucleus (iii) The half-life "of"^( 215) At is 100 ms. The time taken for the radioactivity of a sample "of"^( 215) At to decay to 1//16^(th) of its initial value is 400 ms. (iv) The volume (V) and mass (m) of a nucleus are related a V prop m. (v) Given a sample of Radium - 226 having halflife of 4 days. Find the probability, a nucleus disintegrates within 2 half lives is 3/4. Select the correct code for above.

    A
    TTTTT
    B
    TFTTF
    C
    FTFTF
    D
    FTTTF

  • Read the following : (i) The half - life period of a radioactive element X is same as the mean-life time of another radioactive element Y. Initially both of them have the same number of atoms. Them Y will decay at a faster rate than X. (ii) The electron emitted in beta radiation originates from decay of a neutron un a nucleus. (iii) The half-life of^(215) At is 100 ms. The time taken for the radioacivity of a sample "of"^(215) At to decay to 1//16th of its initial value is 400 ms. (iv) The volume (V) and mass (m) of a nucleus are related as V prop m . (v) Given a sample of Radium-226 having half-life of 4 days. The probability, a nucleus disintegrates within 2 half llives is 3/4. Select the correct code for above.

    A
    T T T T T
    B
    T F T T F
    C
    F T F T F
    D
    F T T T F

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