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Distance-Time Graph

The graph sho...

Question

The graph shows a variation of the square of the time period $(T^{2})$ with the length (l) of a pendulum. Which of the following formula can be used to determine its slope?

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Solution

The correct option is A

The graph shows that $T^{2}$ is directly proportional to l. The slope of the line can be obtained by taking two points P and Q on the straight line. The value of $T^{2} s a y T_{1}^{2} a n d T_{2}^{2}$ at a and b respectively, and also the value of l say $l_{1} a n d I_{2}$ respectively at c and d.
Then, slope $\frac{a b}{c d} = \frac{T_{1}^{2} - T_{2}^{2}}{l_{1} - l_{2}}$

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The graph shows a variation of the square of the time period (T2) with the length (l) of a pendulum. Which of the following formula can be used to determine its slope?

The graph shows a variation of the square of the time period $(T^{2})$ with the length (l) of a pendulum. Which of the following formula can be used to determine its slope?