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Measurement and Error · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A screw has a pitch of \(0.5\,\text{mm}\) and \(50\) divisions on its circular scale. Its least count is

2

A student's readings of \(g\) agree with one another closely, but all are \(0.2\,\text{m/s}^2\) below the true value. The readings are

3

Taking the mean of many readings reduces

4

A spring balance reads \(-0.2\,\text{N}\) with nothing on it and \(9.6\,\text{N}\) with a load. The true weight of the load is

5

A length of \(4.00\,\text{m}\) is measured with an absolute error of \(0.02\,\text{m}\). The percentage error is

6

Readings of \(2.1\), \(1.9\) and \(2.0\,\text{s}\) have a mean of \(2.0\,\text{s}\). Their mean absolute error is

7

In \(g = 4\pi^2L/T^2\) the errors in \(L\) and \(T\) are \(1\,\%\) and \(2\,\%\). The error in \(g\) is

8

Two readings \(36.6 \pm 0.1\,\text{°C}\) and \(20.0 \pm 0.1\,\text{°C}\) give a rise of

9

A vernier of least count \(0.1\,\text{mm}\) has its zero just past the \(12\,\text{mm}\) mark, and line 4 coincides. The reading is

10

The slope of a line through readings is best found from