# A1-2: Use of Books and Graph Drawing¶

## Apparatus¶

Selection of Physics books; 4 or 5 figure log tables; 1 sheet of graph paper.

## Procedure¶

1. Use the books provided to answer the following:

1. What is rectilinear motion?

2. Name 3 ferromagnetic materials (is there a 4th?).

3. What are the unit prefixes (letter and name) for:

$$10^{12},\ 10^9,\ 10^6,\ 10^3,\ 10^2,\ 10^{-2}, 10^{-3},\ 10^{-6},\ 10^{-9},\ 10^{-12}$$

4. What are the letters of the Greek alphabet? Give their names.

5. What does ‘Non-Ohmic conductor’ mean? Give four examples.

6. What is the velocity of sound in air at $$0 \text{°C}$$?

7. $$0 \text{°C}$$ equals how many K, exactly?

8. What are the main types of experimental error?

9. $$a = 5 \pm 0.005\text{m}$$ and $$b = 3.5 \pm 0.01\text{m}$$. What is the error in $$a+b$$ in metres and in %? What is the % error in $$ab$$?

10. Define the metre, the kilogram, the second, the newton, and the joule. Which are base units and why?

2. Use 4- or 5-figure log tables to calculate the following:

1. $$28.5 \times 137$$
2. $$0.056 \times 55.62$$
3. $$0.0335 \div 0.48$$
4. $$73500 \div 0.6885$$
5. $$5.322^4$$
6. $$\sqrt[3]{6.03}$$
7. $$\log (0.002)$$
8. $$10^{1.3}$$
1. $$\sin (26°\ 36')$$
2. $$\cos^{-1}(0.391)$$
3. $$\tan (53.552°)$$
4. $$\tan (216°)$$
5. $$\cos (126°)$$
1. Convert to radians: $$\quad 90° \qquad 72° \qquad 200°$$
2. Convert to degrees: $$\quad 1.12\text{rad} \qquad 3 \pi\text{rad} \qquad 3\pi/2\text{rad}$$
1. $$\ln{(7.9)}$$
2. $$e^{1.5}$$
3. $$\ln (0.14)$$
4. $$\ln (40)$$
5. $$e^{15}$$
6. $$e^{0.02}$$
1. $$\sqrt{553}$$
2. $$\sqrt{0.07}$$
3. Graphs.

1. In an Ohm’s Law experiment, where $$V = IR$$, the following readings were obtained:

Draw a graph of $$V$$ against $$I$$, and hence find $$R$$.

2. A cell of internal resistance $$r$$ and emf $$E$$ supplies current through a resistor $$R$$. The equation which applies is:

$r=R \left(\frac{E-V}{V}\right)$

Readings of $$R$$ and $$V$$ are obtained, and $$1/R$$ is plotted against $$1/V$$. Explain how the gradient and $$y$$-intercept can be used to find $$E$$ and $$r$$.