The time period of a simple pendulum made using a thin copper wire of length L is T. Suppose the temperature of the room in which this simple pendulum is placed increases by 30C, what will be the effect on the time period of the pendulum ?

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Q: 57 (NDA-I/2017)
The time period of a simple pendulum made using a thin copper wire of length L is T. Suppose the temperature of the room in which this simple pendulum is placed increases by 30°C, what will be the effect on the time period of the pendulum ?

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,9,7,9,5,2,0

keywords: 

{'simple pendulum': [0, 0, 1, 4], 'pendulum': [0, 0, 0, 3], 'thin copper wire': [0, 0, 0, 1], 'increases': [2, 0, 3, 12], 'temperature': [0, 1, 1, 7], 'effect': [4, 0, 2, 7], 'time period': [1, 0, 1, 12], 'increase': [3, 1, 10, 35]}

The time period of a simple pendulum is determined by the length of the pendulum and the acceleration due to gravity. In this case, the length of the pendulum is given as L.

Option 1 states that the time period will increase slightly. This is because when the temperature increases, the copper wire will expand. As the wire expands, the length of the pendulum will increase. Since the time period is directly proportional to the square root of the length, a longer length will result in a longer time period. Therefore, the time period of the pendulum will increase slightly when the temperature increases.

Option 2 states that the time period will remain the same. This is incorrect because as mentioned above, the length of the pendulum will increase when the temperature increases, leading to a longer time period.

Option 3 states that the time period will decrease slightly. This is also incorrect because the length of the pendulum is increasing, which will result in a longer time period.

Option 4 states that the time period will become more than 2 times. This is an extreme assumption and not supported by the given information or the physics of a simple pendulum.

Overall, the correct answer is option 1 - the time period of the pendulum will increase slightly

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