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:
- 4 / 3
- 3 / 4
- 4
- 1 / 16
Hint:
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](data:image/png;base64,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)
![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](data:image/png;base64,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)
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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