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Half life of a radioactive substance in 30 min . During 2 hrs the fraction of total no of atoms that have decayed would be


deepika m 31st Mar, 2019
Answer (1)
akash_1554098543 Student Expert 1st Apr, 2019

Hello Deepika

The initial amount of substance = N(0)

The amount of substance after time (t) = N

Given -

Half time of the substance (T) = 30 minutes

Total time passed (t) = 2 hours

Convert the hours into minutes.

2 hours = 2 × 60 minutes

= 120 minutes.

The fraction for total number of atoms decayed is

N/N(0) = (1/2)^(t/T)

= (1/2)^(120/30)

= (1/2)^(4)

= (1/16)

N = N(0)/16

Thus the fraction of decayed atoms will be 1/16. And the amount remaining will be 1/16 of original amount.

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