Question

the half life of a radioactive substance is 3 second initially it has 8000 atoms find its decay constant and time after which 1000 atoms will remain undecayed​

Answer 1

Answer:

Time taken to decay to 1000 atoms = 9 s

Decay constant = 0.231 $T^{-1}$

Explanation:

T 1/2 = 3 s

No = 8000 atoms

N = 1000 atoms

N /No = $[\frac{1}{2} ]^{n}$

          = $[\frac{1000}{8000} ]^{n}$

n = 3

n = T / T1/2

T = n x T 1/2

  = 3 x 3 = 9 s

Decay constant :

T 1/2 = 0.693 / λ

     λ  = 0.693 / 3

         = 0.231 $T^{-1}$

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