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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Derive an approximate relationship between the energy of (decay and half−life using the following data. It may be useful to graph the leg t1/2 against Ea to find some straight−line relationship.

Table 31.3 Energy and Half−Life for (Decay

Nuclide E( (MeV) t1/2
216Ra 9.5 0.18 (s
194Po 7.0 0.7 s
240Cm 6.4 27 d
226Ra 4.91 1600 y
232Th 4.1

1.4 × 10 10 y

To determine

The relation between energy of α decay and half-life.

Explanation

Given info:

    Nuclide
      Eα(MeV)

      t12

      216Ra

    9.5
      0.18μs

      194Po

    7.0 0.7s

      240Cm

    6.4 27d

      226Ra

    4.91 1600y

      232Th

    4.1
      1.4×1010y

Calculation:

The relation between log of t12 to the Eα

    Nuclide
      Eα(MeV)

      t12
    Log of

      t12

      216Ra

    9

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