Physics-
General
Easy

Question

The graph which represents the correct variation of logarithm of activity (log A) versus time, in figure is

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

The correct answer is: D


    Activity A equals lambda   N subscript 0 end subscript e to the power of negative lambda t end exponent rightwards double arrow log subscript e end subscript invisible function application A equals log subscript e end subscript invisible function application lambda N subscript 0 end subscript plus log subscript e end subscript invisible function application e to the power of negative lambda t end exponent
    rightwards double arrow log subscript e end subscript invisible function application A equals log subscript e end subscript invisible function application C minus lambda t (Take lambda N0 = C)
    rightwards double arrow log subscript e end subscript invisible function application A equals negative lambda t plus log subscript e end subscript invisible function application C
    This is the equation of a straight line having negative slope (= – lambda) and positive intercept on loge A axis.

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