Physics-
General
Easy

Question

Two identical spring of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be

  1. 2 : 1    
  2. 1 : 1    
  3. 1 : 2    
  4. 4 : 1    

The correct answer is: 1 : 2


    n equals fraction numerator 1 over denominator 2 pi end fraction square root of fraction numerator k over denominator m end fraction end root Þ fraction numerator n subscript S end subscript over denominator n subscript P end subscript end fraction equals square root of fraction numerator k subscript S end subscript over denominator k subscript P end subscript end fraction end root rightwards double arrow fraction numerator n subscript s end subscript over denominator n subscript p end subscript end fraction equals square root of fraction numerator open parentheses fraction numerator k over denominator 2 end fraction close parentheses over denominator 2 k end fraction end root equals fraction numerator 1 over denominator 2 end fraction

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