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l - T and l-T^(2) graphs of a simple pen...

l - T and `l-T^(2)` graphs of a simple pendulum on earth are as shown in the figure. The x-coordiante (OA) of point of intersection of the graphs is nearly equal to (on the earth `g = 9.8ms^(-2)`)

A

20 cm

B

25 cm

C

50 cm

D

100 cm

Text Solution

Verified by Experts

The correct Answer is:
B
Slope of `l=T^(2)` graph = `(T^(2))/(l)`
But, `g=4pi^(2)(l)/(T^(2))`
`therefore (T^(2))/(l)=(4pi^(2))/(g)`
`T=T^(2)=1s` at the point of intersection
`therefore (1)/(l)=(4pi^(2))/(g),l=(g)/(4pi^(2))~~(1)/(4)m=25cm`
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Knowledge Check

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