Question

A pendulum is connected to a rubber band which is in turn being oscillated by a small electric motor. A student, Leilani, measures the period of time T taken for the pendulum to swing, repeating for 8 different lengths L of the pendulum. She tries to plot T against L but the graph is not linear. Her teacher suggests plotting T² against L instead. Leilani's results are shown in the graph below. You may assume that all the data is valid.

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The theoretical prediction of the relationship between the period of the pendulum swing and its length is

T² = constant x L

From this relationship, Leilani would have expected to obtain a graph with a y-intercept that is

	a.	slightly greater than zero
	b.	She would have no expectation of what the y-intercept should be from this relationship without knowledge of T or L values.
	c.	equal to zero
	d.	slightly less than zero

Answer 1

$T^{2}=K L$

where k is a constant

now comapre this with standard slope intercept equation of a straight line

$Y=mX+C$

where m =slope

c = y-intyercept

we get c=0 by comparing

so option

c.	equal to zero

is the correct answer