# HSC Physics Data and Formula Sheet

View the Physics Data and Formula Sheet provided in the HSC Exam. Get familiar with the important constants and formulas required to answer Physics exam questions.

## What is the HSC Physics Data and Formula Sheet?

All students are provided with the Physics Data and Formula Sheet in the HSC Physics Exam.

The Physics Data Sheet contains important constants such as charge of an electron and Plank constant that are frequently used in quantitative analysis.

The Physics formula sheet contains formulas of key Physics concepts that are taught in the Year 11 & 12 Physics course.

## HSC Physics Data:

 Charge on electron, $q_e$ $-1.602 \times 10^{-19} \ C$ Mass of electron, $m_e$ $9.109 \times 10^{-31} \ kg$ Mass of neutron, $m_n$ $1.675 \times 10^{-27} \ kg$ Mass of proton $m_p$ $1.673 \times 10^{-27} \ kg$ Speed of sound in air $340 \ ms^{-1}$ Earth’s gravitational acceleration, $g$ $9.8 \ ms^{-2}$ Speed of light, $c$ $3.00 \times 10^8 \ ms^{-1}$ Electric permittivity constant, $\varepsilon_0$ ${8.854 \times 10^{-12} \ A^2s^4kg^{-1}m^{-3}}$ Magnetic permeability constant, $\mu_0$ $4 \pi \times 10^{-7} \ NA^{-2}$ Universal gravitational constant, $G$ $6.67 \times 10^{-11} \ Nm^2kg^{-2}$ Mass of Earth, $M_E$ $6.0 \times 10^{24} \ kg$ Radius of Earth, $r_E$ $6.371 \times 10^6 \ m$ Planck constant, $h$ $6.626 \times 10^{-34} \ Js$ Rydberg constant, $R$ (hydrogen) $1.097 \times 10^7 \ m^{-1}$ Atomic mass unit, $u$ $1.661 \times 10^{-27} \ kg \\\\ 931.5 \ MeV/c^2$ 1 $eV$ $1.602 \times 10^{-19} \ J$ Density of water, $\rho$ $1.00 \times 10^3 \ kgm^{-3}$ Specific heat capacity of water $4.18 \times 10^3 \ Jkg^{-1}K^{-1}$ Wien’s displacement constant, $b$ $2.898 \times 10^{-3} \ m K$

Source:NSW Education Standards Authority

## HSC Physics Formula Sheet

### Motion, Forces and Gravity Formulas:

 $s = ut + \frac12at^2$ $v = u + at$ $v^2 = u^2 + 2as$ $\overrightarrow{F}_{net} = m \overrightarrow{a}$ $\Delta U = mg\Delta h$ $W = F_{\parallel} = Fscos\theta$ $P = \frac{\Delta E}{\Delta t}$ $K = \frac12mv^2$ ${\Sigma \frac12 mv^2_{before} = \Sigma \frac12mv^2_{after}}$ $P = F_{\parallel}v = Fvcos\theta$ $\Delta \overrightarrow{p} = \overrightarrow{F}_{net} \Delta t$ ${\Sigma m \overrightarrow{v}_{before} = \Sigma m \overrightarrow{v}_{after}}$ $\omega = \frac{\Delta \theta}{t}$ $a_c = \frac{v^2}{r}$ $\tau = r_{\perp}F = rFsin\theta$ $F_c = \frac{mv^2}{r}$ $v = \frac{2\pi r}{T}$ $F = \frac{GMm}{r^2}$ $U = - \frac{GMm}{r}$ $\large \frac{r^3}{T^2} = \frac{GM}{4\pi^2}$

Source:NSW Education Standards Authority

### Waves and Thermodynamics Formulas:

 $v = f \lambda$ $f_{beat} = | f_2 - f_1 |$ $f = \frac{1}{T}$ $\large f' = f \frac{(v_{wave} + v_{observer})}{(v_{wave} - v_{source})}$ $dsin\theta = m \lambda$ $n_1sin\theta_1 = n_2sin\theta_2$ $n_x = \frac{c}{v_x}$ $sin\theta_c = \frac{n_2}{n_1}$ $I = I_{max}cos^ \theta$ $I_1r_1^2 = I_2r^2_2$ $Q = mc \Delta T$ $\large \frac{Q}{t} = \frac{kA \Delta T}{d}$

Source:NSW Education Standards Authority

### Electricity and Magnetism Formulas:

 $E = \frac{V}{d}$ $\overrightarrow{F} = q \overrightarrow{E}$ $V = \frac{\Delta U}{q}$ $F = \frac{1}{4 \pi \varepsilon_0} \frac{q_1q_2}{r^2}$ $W = qV$ $I = \frac{q}{t}$ $W = qEd$ $V = IR$ $B = \frac{\mu_0 I}{2 \pi r}$ $P = VI$ $B = \frac{\mu_0NI}{L}$ ${F = qv_{\perp}B = qvBsin\theta}$ ${\Phi = B_{\parallel}A = BAcos\theta}$ $F = Il_{\perp}B = IlBsin\theta$ $\varepsilon = -N \frac{\Delta \Phi}{\Delta t}$ $\large \frac{F}{l} = \frac{\mu_0}{2\pi} \frac{I_1I_2}{r}$ $\large \frac{V_p}{V_s} = \frac{N_p}{N_s}$ ${\tau = nIA_{\perp}B = nIABsin\theta}$ $V_pI_p = V_sI_s$

Source:NSW Education Standards Authority

### Quantum, Special Relativity and Nuclear Formulas:

 $\lambda = \frac{h}{mv}$ $t = \frac{t_0}{\sqrt{ \big( 1 - \frac{v^2}{c^2} \big)}}$ $K_{max} = hf - \phi$ $l = l_0 \sqrt{\big( 1 - \frac{v^2}{c^2} \big)}$ $\lambda_{max} = \frac{b}{T}$ $p_v = \frac{m_ov}{\sqrt{ \big( 1 - \frac{v^2}{c^2} \big)}}$ $E = mc^2$ $N_t = N_0e^{-\lambda t}$ $E = hf$ $\lambda = \frac{ln2}{t_{\frac{1}{2}}}$ $\frac{1}{\lambda} = R \bigg( \frac{1}{n^2_f} - \frac{1}{n^2_i} \bigg)$

Source:NSW Education Standards Authority ### Written by DJ Kim

DJ is the founder of Learnable and has a passionate interest in education and technology. He is also the author of Physics resources on Learnable.