Question
Download Solution PDFIf the length of a second's pendulum is doubled, what will be the time period (take the initial time period as 1 second)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Simple pendulum: When a point mass is suspended with the help of a string or rod of negligible mass and does the to and fro motion about its mean position is called a simple pendulum.
- For a simple pendulum, the time period of swing of a pendulum depends on the length of the string and acceleration due to gravity.
The above formula is only valid for small angular displacements.
Where, T = Time period of oscillation, l = length of the pendulum, and g = gravitational acceleration
CALCULATION:
Let initial length = l
The time period of a second's pendulum is 2 seconds, that is,
If the length is doubled, then the new time period (T*) will be
So option 1.414 sec is correct.
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