Analysis, Conclusions and Evaluation

Estimate the percentage uncertainty in your value of $d$.

percentage uncertainty = ______

Calculate the pressure $P$ in the balloon using the relationship

where $g = 9.81\ \text{N kg}^{-1}$ and $m$ is the mass of the transparent block written on the card.

$P$ = ______ $\text{N m}^{-2}$

Justify the number of significant figures you have given for your value of $P$.

Repeat (a), (b) and (d) using the smaller partially inflated balloon.

$B$ = ______
$d$ = ______
$P$ = ______ $\text{N m}^{-2}$

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Explain whether your results support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

1. ______
2. ______
3. ______
4. ______

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

1. ______
2. ______
3. ______
4. ______

Calculate the change in temperature $\Delta\theta = (\theta_0 - \theta)$.

$\Delta\theta$ = ______

Estimate the percentage uncertainty in your value of $d$.

percentage uncertainty = ______

Repeat (b) and (c)(i) for the bowl.

$\theta_0$ = ______
$\theta$ = ______
$\Delta\theta = (\theta_0 - \theta)$ = ______
$d$ = ______

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Justify the number of significant figures that you have given for your values of $k$.

Explain whether your results in (e)(i) support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

1. ______
2. ______
3. ______
4. ______

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

1. ______
2. ______
3. ______
4. ______

Estimate the percentage uncertainty in your value of $u$. Show your working.

percentage uncertainty = ______ $\%$

• The combination of the lens and the sugar solution has a focal length $f$.
Calculate $f$ using the expression

$f$ = ______ $\text{cm}$

• The sugar solution has a refractive index $n$.
Calculate $n$ using the expression

$n$ = ______

• Pour all the sugar solution back into the beaker labelled Sugar Concentration 0.18.

Repeat (b)(i) and (b)(iii) using liquid from the beaker labelled Sugar Concentration 0.33 to find the refractive index $n$ of this solution.

$v$ = ______ $\text{cm}$
$u$ = ______ $\text{cm}$
$f$ = ______ $\text{cm}$
$n$ = ______

The sugar concentration in the sugar solution is $C$.
It is suggested that the relationship between $n$ and $C$ is given by

where $k$ is a constant.

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

It is suggested that the percentage uncertainty in the values of $k$ is $20\%$.
Using this uncertainty, explain whether your results support the relationship in (d).

Describe four sources of uncertainty or limitations of the procedure for this experiment.

For any uncertainties in measurement that you describe, you should state the quantity being measured and the reason for the uncertainty.

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

Estimate the percentage uncertainty in your value of $\theta$.

percentage uncertainty = ______

Calculate the value of $B$ using

where $\mu_0 = 1.26 \times 10^{-6}\ \text{NA}^{-2}$.

$B$ = ______ $\text{NA}^{-1}\text{m}^{-1}$

• Disconnect the crocodile clips and remove the compass.

• Remove the tape and the wire. Re-wind the wire in adjacent grooves (instead of every other groove), as shown in Fig. 2.3.

• Re-fix the tape.

• Repeat (a), (b), (c) and (e).

$N$ = ______

$L$ = ______

$\theta$ = ______ $^{\circ}$

$I$ = ______

$B$ = ______ $\text{NA}^{-1}\text{m}^{-1}$

Using your data, calculate two values of $k$.

first value of $k$ = ______

second value of $k$ = ______

Justify the number of significant figures you have given for your values of $k$.

Explain whether your results in (g)(i) support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

Calculate the change in height $\Delta h$, where $\Delta h = h_0 - h$.

$\Delta h$ = ______ $\text{mm}$

Estimate the percentage uncertainty in your value of $\Delta h$.

percentage uncertainty = ______

• Write down the value, in kelvin, of the room temperature $T_0$ given on the card.

$T_0$ = ______ $\text{K}$

• Calculate the temperature $T$ of the wire using the relationship

where $\alpha = 11.8\ \text{K mm}^{-1}$.

$T$ = ______ $\text{K}$

Repeat (b) and (d) with the ammeter reading between 0.90 A and 1.00 A.

$I$ = ______ $\text{A}$
$V$ = ______ $\text{V}$
$h$ = ______ $\text{mm}$
$\Delta h$ = ______ $\text{mm}$
$T$ = ______ $\text{K}$

Using your data, calculate two values of $\beta$.

first value of $\beta$ = ______
second value of $\beta$ = ______

Justify the number of significant figures you have given for your values of $\beta$.

Explain whether your results in (f)(i) support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

1. .......................................................................................................................................
2. .......................................................................................................................................
3. .......................................................................................................................................
4. .......................................................................................................................................

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

1. .......................................................................................................................................
2. .......................................................................................................................................
3. .......................................................................................................................................
4. .......................................................................................................................................

Estimate the percentage uncertainty in your value of $D$.

percentage uncertainty = ______

Calculate the average speed $v$ of the water in the tube using the relationship

$v$ = ______ $\text{cm s}^{-1}$

Justify the number of significant figures that you have given for your value of $v$.

Repeat (c) with one of the shorter tubes.

$l$ = ______
$t$ = ______ $\text{s}$
$v$ = ______ $\text{cm s}^{-1}$

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Explain whether your results support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

1. ______
2. ______
3. ______
4. ______

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

1. ______
2. ______
3. ______
4. ______

Estimate the percentage uncertainty in your value of $L$.

percentage uncertainty = ______

Calculate the force $F$ needed to remove the wire from the water using

where the mass $m$ of one paper clip is $4.0 \times 10^{-4}\text{ kg}$, and $g = 9.8\text{ N kg}^{-1}$.

$F$ = ______ $\text{N}$

Repeat (a)(i), (b), (c) and (d) for the longer wire.

$L$ = ______
$N_1$ = ______
$N_2$ = ______
$F$ = ______ $\text{N}$

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Justify the number of significant figures that you have given for your values of $k$.

Explain whether your results in (f)(i) support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

Estimate the percentage uncertainty in your value of $F_0$.

percentage uncertainty = ______

Calculate $\mu$ where $\mu = \frac{F_0}{W}$.

$W$ is the value of the weight of the block and masses written on the card.

$\mu$ = ______

Using your values from (a)(v) and (b)(ii), calculate $(\sin \theta + \mu \cos \theta)$.

$(\sin \theta + \mu \cos \theta)$ = ______

Place the supporting block as shown in Fig. 2.4 with a shorter edge vertical.
Repeat (b)(ii), (b)(iii) and (c).

$\theta$ = ______
$(\sin \theta + \mu \cos \theta)$ = ______
$F$ = ______

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Explain whether your results support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

Estimate the percentage uncertainty in $d$.

percentage uncertainty = ______

Calculate the contact area $A$ using $A = \frac{\pi d^2}{4}$.

$A$ = ______

Make a ball with a slightly different diameter and repeat (a)(iii), (a)(iv), (b)(i), (b)(iii) and (c). You should be aware that a large change in diameter could result in a reading outside the range of the newton-meter.

ball diameter = ______
$d$ = ______
$A$ = ______
$F$ = ______

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Explain whether your results support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

Calculate the deflection $d$ of the mid-point of the rule, where $d = h_1 - h$.

$d$ = ______

Estimate the percentage uncertainty in your value of $d$.

percentage uncertainty = ______

Repeat (b)(ii), (b)(iii) and (c)(i).

$x$ = ______
$h_1$ = ______
$d$ = ______

It is suggested that the quantities $d$ and $y$ are related by the equation

where $k$ is a constant.

Using your data, calculate two values of $k$.

first value of $k$ = ______
second value of $k$ = ______

Explain whether your results support the suggested relationship.

Describe four sources of uncertainty or limitations of the procedure for this experiment.

1. ______
2. ______
3. ______
4. ______

Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures.

1. ______
2. ______
3. ______
4. ______