After performing your experiment in the \"Simple Pendulum\", you built the follo

Question

After performing your experiment in the "Simple Pendulum", you built the following Excel plot and the linear the slope. The plot presents the relation between the length of a simple pendulum and its Period squared to this What is the value of the slope? A) 0.2412 B) 0.0005 C) 0.2412x + 0.0005 D) It depends on the value assigned to x What is the value of the y-intercept? A) it is not available in the formula B) 0.0005 C) 0.2412 D) 0.2412x + 0.0005 Which of the following statements is correct? A) L and T^2 are inversely proportional B) If the measured T doubles, then L is approximately four times bigger C) If the measured T doubles, then L doubles as well D) L does not depend on T In the interpolation formula y = 0.02412x + 0.0005 A) y represents L and x represents T^2 B) y represents some combination of L and T^2, x is just a variable C) x represents L and y represents T^2 D) It depends on how the plot was generated If L = g/(4 PI^2) * T^2 and we want to find our experimental estimate of g, how should we proceed? A) g = 980 m/s^2 no matter what the formula says. B) g = 4 PI^2 * 0.2412 C) g = 4 PI^2 * 0.0005 + 0.2412 D) g = 0.2412, which is clearly a bad result In the same experiment, your data are collected in the following table: Compute the missing % error in the table (corresponding to L = 0.6 m). Its vale is: A) 9.80 m/s^2 B) 5.0 % C) 3.0 % D) Equal to the average of the other ones What is the meaning of % error? A) It tells us how big the result is with respect to 0 B) It tells us the difference between the value for T given by the formula and the value we measured in the lab, expressed as a percentage of the value given by the formula C) It tells us the difference between the value for T given by the formula and the value we measured in the lab, expressed as a percentage of the measured value D) It is the same as % difference

Explanation / Answer

12

Option – A

As y = 0.2412x + 0.005

So comparing it with y = mx + c,

Slope, m = 0.2412.

13

Option – B

As y = 0.2412x + 0.005

So comparing it with y = mx + c,

y – Intercept, c = 0.005.

14

Option – B

As clear from the figure on right, T doubles, L being proportional to T2 gets four times larger.

15

Option – A

As clear from the figure on right, y – represents length and x represents T2.

16

Option B

As clear from the figure on right, L proportional to T2 and as per the condition given L = (g/42)T2. That means slope, m = (g/42) = 0.2412. So g = 0.2412*42

(Note - Please upload rest as separate problems)

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