मराठी

A radioactive isotope decayed to 17/32 of its original mass after 60 minutes. Find the half - life of this radioisotope. -

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प्रश्न

A radioactive isotope decayed to 17/32 of its original mass after 60 minutes. Find the half-life of this radioisotope.

पर्याय

  • 65 minutes

  • 67 minutes

  • 66 minutes

  • 68 minutes

MCQ

उत्तर

66 minutes

Explanation:

The half-life of radioactive isotope is

`17/32 = 0.53125`

`(1/2)^"n" = 0.53125`

n log 0.5 = log 0.53125

n = 0.91254

60 minutes divided by 0.91254 equals 65.75 minutes. Therefore, n = 66 minutes.

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