Physics-
General
Easy

Question

What will be the force constant of the spring system shown in the figure

  1. fraction numerator K subscript 1 end subscript over denominator 2 end fraction plus K subscript 2 end subscript    
  2. open square brackets fraction numerator 1 over denominator 2 K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 2 end subscript end fraction close square brackets to the power of negative 1 end exponent    
  3. fraction numerator 1 over denominator 2 K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 2 end subscript end fraction    
  4. open square brackets fraction numerator 2 over denominator K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 1 end subscript end fraction close square brackets to the power of negative 1 end exponent    

The correct answer is: open square brackets fraction numerator 1 over denominator 2 K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 2 end subscript end fraction close square brackets to the power of negative 1 end exponent


    In series combination
    fraction numerator 1 over denominator k subscript S end subscript end fraction equals fraction numerator 1 over denominator 2 k subscript 1 end subscript end fraction plus fraction numerator 1 over denominator k subscript 2 end subscript end fraction
    Þ k subscript S end subscript equals open square brackets fraction numerator 1 over denominator 2 k subscript 1 end subscript end fraction plus fraction numerator 1 over denominator k subscript 2 end subscript end fraction close square brackets to the power of negative 1 end exponent

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