A) Hyperbola
B) Parabola
C) Straight line
D) Ellipse
Correct Answer: B
Solution :
Time period is given by formula \[T=2\pi \,\sqrt{\frac{l}{g}}\] or \[{{T}^{2}}=\frac{4{{\pi }^{1}}l}{g}\] Hence, for the variation in T and I. Put Y for T and X for l. We get, \[{{Y}^{2}}=\frac{4{{\pi }^{2}}}{g}X\] It is quite clear, this equation resembles with \[{{Y}^{2}}=4aX\] (equation of parabola) Therefore the graph will be parabolic.
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