Form 4 Mathematics
The table below shows the values of the length X ( in metres ) of a pendulum and the corresponding values of the period T ( in seconds) of its oscillations obtained in an experiment.
(a) Construct a table of values of log X and corresponding values of log T,
correcting each value to 2 decimal places
(b) Given that the relation between the values of log X and log T approximate to a linear law of the form m log X + log a where a and b are constants
(i) Use the axes on the grid provided to draw the line of best fit for the graph of log T against log X.
(ii) Use the graph to estimate the values of a and b
(b) Find, to decimal places the length of the pendulum whose period is 1 second
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