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Question

Two springs, of force constantsk subscript 1 end subscript a n d k subscript 2 end subscript, are connected to a mass m as shown. The frequency of the mass is f. If both k subscript 1 end subscript a n d k subscript 2 end subscript are made four times their original values, the frequency of oscillation becomes

  1. f divided by 2    
  2. f divided by 4    
  3. 4 f    
  4. 2 f    

The correct answer is: 2 f


    f equals fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator k subscript 1 end subscript plus k subscript 2 end subscript over denominator m end fraction end root
    and f to the power of ´ end exponent equals fraction numerator 1 over denominator 2 pi end fraction blank.2 square root of fraction numerator k subscript 1 end subscript plus k subscript 2 end subscript over denominator m end fraction end root equals 2 f

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