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AP EAMCET202017 Sep 2020Evening ShiftMathematicsApplication of DerivativesActual

A kind of bacteria grows by (t^3 ) in (t ~s ). Time taken for the rate of growth of the bacteria to become 1200 per (s ) is

Options

  1. A(10 ~s )
  2. B(20 ~s )
  3. C(40 ~s )
  4. D(400 ~s )

Correct answer

B. (20 ~s )

Step-by-step solution

Given, ( d N d t =t^3, ) When, rate of growth is 1200 we have, ( aligned & d d t ( d N d t )=1200 d d t t^3=1200 & 3 t^2=1200 t^2=400 & t=20 sec aligned )

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