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Oscillations

Question
CBSEENPH11020402
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Two springs, of force constants k1 and k2, are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both k1 and k2 are made four times their original values, the frequency of oscillation becomes

  • f/2

  • f/4

  • 4f

  • 2f

Solution

D.

2f

straight f space equals space fraction numerator 1 over denominator 2 straight pi end fraction space square root of fraction numerator straight k subscript 1 space plus straight k subscript 2 over denominator straight m end fraction end root straight f apostrophe space equals fraction numerator 1 over denominator 2 straight pi end fraction space 2 square root of fraction numerator straight k subscript 1 plus straight k subscript 2 over denominator straight m end fraction end root space equals space 2 straight f

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