Question 18N.3.SL.TZ0.d
| Date | November 2018 | Marks available | [Maximum mark: 4] | Reference code | 18N.3.SL.TZ0.d |
| Level | SL | Paper | 3 | Time zone | TZ0 |
| Command term | Determine | Question number | d | Adapted from | N/A |
In an investigation to measure the acceleration of free fall a rod is suspended horizontally by two vertical strings of equal length. The strings are a distance d apart.
When the rod is displaced by a small angle and then released, simple harmonic oscillations take place in a horizontal plane.
The theoretical prediction for the period of oscillation T is given by the following equation
where c is a known numerical constant.
In one experiment d was varied. The graph shows the plotted values of T against . Error bars are negligibly small.
The numerical value of the constant c in SI units is 1.67. Determine g, using the graph.
[4]
correctly determines gradient using points where ΔT≥1.5s
OR
correctly selects a single data point with T≥1.5s ✔
manipulation with formula, any new and correct expression to enable g to be determined ✔
Calculation of g ✔
With g in range 8.6 and 10.7 «m s−2» ✔
Allow range 0.51 to 0.57.
