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Question

A and B are two thin rubber bands, each of force constant k. Assuming that they obey Hooke's law, the time period of horizontal SHM of the mass m is given by

A
2π2mk
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B
πmk
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C
2πm2k
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D
2πmk
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Solution

The correct option is D 2πmk
Hooke's law works on the principle of simple harmonic motion.
Similar to SHM, the time period is also same for this rubber band.
Length is replace by mass and the acceleration due to gravity by force constant.
T=2πmk
Option D.

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