Question
Download Solution PDFTime period of a simple pendulum in a stationary lift is ‘T'. If the lift accelerates with g/6 vertically upwards then the time period will be :
(Where g = acceleration due to gravity)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The time period is defined as the time required for the simple pendulum to do one oscillation and it is written as;
T = 2
Here we have T as the time period, L is the length of the pendulum and g is the acceleration due to gravity.
CALCULATION:
Given:
The time period of a simple pendulum T and it is written as;
T = 2
At the stationary lift, acceleration is equal to the acceleration due to gravity and it is written as;
a = g
Now, equation (1) becomes,
T = 2
The lift is accelerated, a = g + g/6
⇒ a = 7g/6
The time period is written as;
T' =
⇒ T' =
⇒ T' =
Hence, option 3) is the correct answer.
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