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General
Easy

Question

The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve

  1. A    
  2. B    
  3. C    
  4. D    

The correct answer is: B


    Number of atoms undecayedN equals N subscript 0 end subscript e to the power of negative lambda t end exponent
    Number of atoms decayed equals N subscript 0 end subscript minus N equals N subscript 0 end subscript left parenthesis 1 minus e to the power of negative lambda t end exponent right parenthesis
    rightwards double arrow Decyaed fraction f equals fraction numerator N subscript 0 end subscript minus N over denominator N subscript 0 end subscript end fraction equals 1 minus e to the power of negative lambda t end exponent
    i. e. comma fraction will rise up to 1, following exponential path as shown in graph left parenthesis B right parenthesis

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