Question
Download Solution PDFIn order to double the period of a simple pendulum ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
A simple pendulum is one that can be considered to be a point mass suspended from a string or rod of negligible mass.
The period of swing:
\(T = 2\pi √ {\frac{L}{g}} \Rightarrow T \propto √ L \)
Note: It is independent of the mass of the bob.
Now as we know the relation between Time Period (T) and length (L) and we also know that it is independent of the mass hence we have to change the length in order to change the Time Period of the simple pendulum.
∴ From the relation obtained i.e. \( T \propto √ L \)
When we will increase the length by 4 times the original value we can see that the Time Period will become two times the original or we can say that it will get doubled.
Since \( T \propto √ L \) so when L = 4, then T = √4 = 2.
∴ In order to double the period of a simple pendulum, its length should be quadrupled
Last updated on May 28, 2025
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