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 `
Text Solution
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The correct Answer is:
A
`A = A_(0) (1//2)^(n) , n= `number of half lives . `(A_(0))/(16) =A_(0) ((1)/(2)) ^(n) :. ((1)/(2)) ^(4) = ((1)/(2)) ^(n) ` `rArr n = 4` `:. T = (4 xx 100)mus = 400 mus`
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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.
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