Q21 / 199 · NTA Abhyas (NEET) 2020 · Physics · Nuclear Physics

The half life period of a radioactive substance is 140 days. After how much time, 15 g will decay from a 16 g sample of the substance?

  • A
    140 days
  • Correct answer
    B
    560 days
  • C
    420 days
  • D
    280 days

Solution

Ratio of mass remaining undecayed to initial mass is,
mm0=12tT
16-1516=12tT
124=12tT
⇒ t=4T=4×140 days
t=560 days

Hence, the correct answer is option: 'B'.

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