Using a simple pendulum experiment 
is determind by measuring its time period 
. Which of the following plots represent the correct relation between the pendulum length 
and time period 
?
Text Solution
Verified by ExpertsB
The time period 
of a simple pendulum of length 
is given by the formula:
Squaring both sides, we get:
Rearranging the equation to find the relationship between 
and 
:
Let 
and 
. The equation becomes:
where 
is a constant.
This is the equation of a rectangular hyperbola in the first quadrant.
As 
increases, 
decreases non-linearly, approaching the axes asymptotically.
Comparing this with the given plots, option correctly represents a hyperbolic relationship between 
and 
.
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