A girl is swinging on a swing in sitting position. When the same girl stands up, the period of swing will

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Q: 144 (IAS/1997)
A girl is swinging on a swing in sitting position. When the same girl stands up, the period of swing will

question_subject: 

Science

question_exam: 

IAS

stats: 

0,22,35,22,15,11,9

keywords: 

{'swing': [0, 1, 0, 0], 'girl': [0, 1, 1, 1], 'height': [0, 0, 1, 2], 'position': [3, 2, 7, 11], 'period': [9, 3, 3, 8], 'same girl': [0, 1, 0, 0]}

The period of a swing, also known as a pendulum, depends on its length, that is, the distance from the pivot point to the center of mass and gravitational acceleration, but not on the mass swinging. When a girl stands up, the distance from the swing`s pivot point to her center of mass decreases, effectively making the `pendulum` shorter. According to the formula of the period for simple pendulum T=2π√(L/g) where L is the length of the pendulum, g is the acceleration due to gravity, and T is the time period, a shorter pendulum results in a shorter period, meaning the swing will go back and forth more quickly. Therefore, the correct answer is option 1 "be shorter". Options 2 and 3 are incorrect because the period will not be longer nor does it depends on the height of the girl. Option 4 is also incorrect because the period will indeed change when the girl changes her position on the swing.