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In order to double the period of simple pendulum, the length of the string should be
- a)halved
- b)doubled
- c)quadrupled
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In order to double the period of simple pendulum, the length of the st...
Periodic time, tp = 2п√L/g
So, if period is doubled, then length should be quadrupled
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In order to double the period of simple pendulum, the length of the st...
Explanation:
Length of String and Period of Simple Pendulum:
The period of a simple pendulum is the time taken for the pendulum to complete one full oscillation. The period of a simple pendulum is directly proportional to the square root of the length of the string. This means that if the length of the string is increased, the period of the pendulum will also increase.
Effect of Changing String Length on Period:
- If the length of the string is doubled, the period of the pendulum will also double. This is because the square root of 2 is approximately 1.41, which is close to 2.
- Similarly, if the length of the string is halved, the period of the pendulum will be halved as well.
- Quadrupling the length of the string will result in the period of the pendulum being doubled. This is because the square root of 4 is 2.
Therefore, in order to double the period of a simple pendulum, the length of the string should be quadrupled. This relationship between the length of the string and the period of a simple pendulum is a fundamental concept in physics and is crucial for understanding the behavior of pendulums in different situations.
Length of String and Period of Simple Pendulum:
The period of a simple pendulum is the time taken for the pendulum to complete one full oscillation. The period of a simple pendulum is directly proportional to the square root of the length of the string. This means that if the length of the string is increased, the period of the pendulum will also increase.
Effect of Changing String Length on Period:
- If the length of the string is doubled, the period of the pendulum will also double. This is because the square root of 2 is approximately 1.41, which is close to 2.
- Similarly, if the length of the string is halved, the period of the pendulum will be halved as well.
- Quadrupling the length of the string will result in the period of the pendulum being doubled. This is because the square root of 4 is 2.
Therefore, in order to double the period of a simple pendulum, the length of the string should be quadrupled. This relationship between the length of the string and the period of a simple pendulum is a fundamental concept in physics and is crucial for understanding the behavior of pendulums in different situations.
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In order to double the period of simple pendulum, the length of the string should bea)halvedb)doubledc)quadrupledCorrect answer is option 'C'. Can you explain this answer?
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