PhysicsIn order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced 3/4 th of the original length and the tension is changed. The factor by which the tension is to be changed is

In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced 3/4 th of the original length and the tension is changed. The factor by which the tension is to be changed is

  1. A

    3/8

  2. B

    2/3

  3. C

    8/9

  4. D

    9/4

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    Solution:

    n2=2n1  l2=34l1 ; n=12lTμ

    Tn2l2

    T2T1=n22n12 x l22l12=4 x 916=94

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