A vertical spring mass system has the same time period as simple pendulum undergoing small oscillations. Now, both of them are put in an elevator going downwards with an acceleration
. The ratio of time period of the spring mass system to the time period of the pendulum is (Assume, acceleration due to gravity,
)

Text Solution
Verified by ExpertsC
For spring mass system.
Time period
Here,
mass of body and
force constant of the spring
For simple pendulum,

According to the question
Time period, 


As time period of spring mass system is independent of
, no effect occurs on the time period of spring mass system, when put in an elevator going downwards with an acceleration
.
i.e., 
Acceleration of the pendulum when elevator is accelerating downwards with
.



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