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Question 19M.3.SL.TZ2.2

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Date May 2019 Marks available [Maximum mark: 5] Reference code 19M.3.SL.TZ2.2
Level SL Paper 3 Time zone TZ2
Command term Describe, Determine, Draw, Write down Question number 2 Adapted from N/A
2.
[Maximum mark: 5]
19M.3.SL.TZ2.2

An experiment is conducted to determine how the fundamental frequency f of a vibrating wire varies with the tension T in the wire.

The data are shown in the graph, the uncertainty in the tension is not shown.

(a)

Draw the line of best fit for the data.

[1]

Markscheme

Any curve that passes through ALL the error bars ✔

Examiners report

Most candidates correctly drew curves which passed through all the error bars, some tried to draw straight lines. Quite a few did not draw any line, leaving the question unanswered. Candidates need to make sure to check that they read the question paper carefully.

It is proposed that the frequency of oscillation is given by f2 = kT where k is a constant.

(bi)

Determine the fundamental SI unit for k.

[1]

Markscheme

kg–1 m–1

Examiners report

Determining the fundamental units of K (kg-1 m-1 ) was difficult for most candidates.

(bii)

Write down a pair of quantities that, when plotted, enable the relationship f2 = kT to be verified.

[1]

Markscheme

f2 AND T

OR

f AND  T

OR

log f AND log T

OR

ln f AND ln T

Examiners report

These questions were not well understood, but a few candidates were able to state that a plot of f2 versus T would give a straight line through the origin.

(biii)

Describe the key features of the graph in (b)(ii) if it is to support this relationship.

[2]

Markscheme

graph would be a straight line/constant gradient/linear ✔

passing through the origin ✔

Examiners report

These questions were not well understood, but a few candidates were able to state that a plot of f2 versus T would give a straight line through the origin.