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MHT CET202013 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

A metal has half life period of 10 days, A sample originally has a mass of 1000 mg , then the mass remaining after 50 days is

Options

  1. A225 8 m g
  2. B125 8 mg
  3. C125 4 mg
  4. D225 4 m g

Correct answer

C. 125 4 mg

Step-by-step solution

A mass has half life period of 10 days. It means every ten days, mass remaining is half of the mass before 10 days. Initial mass =1000 mg . Mass after, 10 days = 1 2 1000=500 mg Mass after 20 days = 1 2 500=250 mg Mass after 30 days = 1 2 250=125 mg Mass after 40 days = 1 2 125= 125 2 mg Mass after 50 days = 1 2 125 2 = 125 4 mg

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