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For different values of L, we get different values of T2. The graph between L versus T2 is as shown in figure. Find the value of ' g ' from the given graph. Take (π2=10.

a
5.8 m/s2
b
6.8 m/s2
c
9.8 m/s2
d
8.8 m/s2

detailed solution

Correct option is C

From the equation,T=2πLgWe have,L=g4π2T2⇒L∝T2i.e. L versus T2 graph is a straight line passing through origin with slope = g4π2Slope = tanθ=g4π2 or g= 4π2tanθ=4×10×0.984=9.8 m/s2

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