T0 is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to
times of its initial value, the modified time period is:
T0 is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to times of its initial value, the modified time period is:
Option 1 -
T0
Option 2 -
8 π T0
Option 3 -
4 T0
Option 4 -
-
1 Answer
-
Correct Option - 4
Detailed Solution:
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According to question, we can write
Kindly consider the following Image
(1/2)mu² = (1/2)mv² + mgl (1-cosθ)
⇒ v² = u² - 2gl (1-cosθ)
⇒ v² = 3² - 2×10×0.5× (1 - 1/2)
⇒ v² = 9 - 5 = 4
v = 2m/s

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