Physics
Grade-9
Easy

Question

Two simple pendulums of length 1 m and 16 m respectively are given small displacements at the same time in the same direction. The number of oscillations ‘N’ of the smaller pendulum for them to be in phase again is:

  1. 4 / 3
  2. 3 / 4
  3. 4
  4. 1 / 16

hintHint:

T 1 cross times n 1 equals T 2 cross times n 2

The correct answer is: 4 / 3


    Correct option is C)
    lets say they are again in phase when shorter pendulum has made n1 oscillations and bigger pendulum n2 oscillations. so total time elapsed T 1 cross times n 1 equals T 2 cross times n 2

    fraction numerator n 1 over denominator n 2 end fraction equals fraction numerator T 2 over denominator T 1 end fraction equals square root of fraction numerator l 2 over denominator l 1 end fraction end root equals square root of 16 over 1 end root equals 4
    they will again be in phase for the first time when the shorter pendulum has made 4 oscillations and the longer pendulum has made 1 oscillation.

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