O Level Physics Formula List

This post contains all the important formulas that you need for GCE O Level Physics. (Equivalent to American High School Diploma) If you do not recognise any of the formulas listed here, you should go review the respective topic. For definitions, please visit All Definitions Needed For O Level.


Physical quantityBase SI unit
Mass (m)Kilogram (Kg)
Length ($l$)Metre (m)
Time (t)Second (s)
Current ($\text{I}$)Ampere (A)
Temperature (T)Kelvin (K)
Amount of sub. (n)Molar (mol)
 Luminous Intensity (L)Candela (cd)
$10^{-9}$nano (n)$10^{-1}$deci (d)
$10^{-6}$micro ($\mu$)$10^{3}$Kilo (K)
$10^{-3}$milli (m)$10^{6}$Mega (M)
$10^{-2}$centi (c)$10^{9}$Giga (G)
vernier caliper
Positive zero error
Negative zero error
micrometer zero error

$$\text{Reading without zero error} = \text{Reading Obtained}-\text{Zero Error}$$


Average Speed, $s = \frac{\Delta d}{\Delta t}$, d is distance travelled

Average Velocity, $v = \frac{\Delta x}{\Delta t}$, x is displacement

Acceleration, $a = \frac{\Delta v}{\Delta t}$

$v = u + at$

$x = ut + \frac{1}{2} a t^{2}$

$v^{2} = u^{2} + 2 ax$

$s = \frac{1}{2} \left( u + v \right) t$

Information that you haveEquations of motion to use
$v = u + at$
$s = ut + \frac{1}{2} at^{2}$
$s = \frac{1}{2} (u + v)$
$v^{2} = u^{2} + 2as$

$v_{free \, fall} = \sqrt{2 gh}$

all graphs of motion

If a car is driving around a circle at a constant speed, its velocity is not constant! The car is accelerating! Why? Because velocity is a vector (has both magnitude and direction). When the car is travelling around the circle, its direction is changing constantly.

Forces and Turning effect of Force

Newton’s First Law: A body continues to stay in its state of rest or uniform motion in a straight line as long as there is no net force acting on the body.

Newton’s Second Law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Newton’s Third Law: For every force object A acts on object B, object B will exert an equal and opposite force on object A giving rise to reaction force.

$M = Fd$, M = moment, d = perpendicular dist. from force to pivot

Principle of moment: sum of anti-clockwise moment = sum of clockwise moment. $\rightarrow$ rotational equilibrium.

Mass, Weight and Density

$w = mg$

$\rho = \frac{m}{V}$


$P = \frac{F}{A}$

$P_{fluid} = h \rho g$

Hydraulic press: $\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}$

Boyles’ law: $P_{1}V_{1} = P_{2}V_{2}$

Work, Energy and Power

$W = Fd$

$P = \frac{W}{t} = Fv$

$E_{k} = \frac{1}{2} m v^{2}$

$E_{g} = mgh$, g = 9.81 $m \, s^{-2}$

Conservation of energy: Initial energy = final energy

Thermal Physics

$PV \propto T$

$P_{1}V_{1} = P_{2} V_{2}$

$E = m c \Delta T$

$E_{fusion} = m L_{fusion}$

$E_{vap.} = m L_{vap.}$

Temperature can be measured using the following methods:

  • Expansion of fixed mass of liquid
  • Changes in resistance of a piece of metal
  • Expansion of gas at constant pressure

Why is there constant temperature during melting?

  • During melting, heat energy is used to weaken the attraction between the solid particles and not used to increase the kinetic energy of the particles.

When a thermometer is placed into hot water, why does the reading drops first then increase?

  • The glass bulb expands before the mercury expands.

Good radiator of heat

  • Black surface
  • Rough surface

Waves, Reflection and Refraction of light, Converging lens, Electromagnetic Spectrum, Sound

$v = f \lambda$

$f = \frac{1}{T}$

Law of reflection: $\theta_{i} = \theta_{r}$

Snell’s Law: $n_{1} \sin{\theta_{1}} = n_{2} \sin{\theta_{2}}$

Refractive index: $n = \frac{c}{v}$

Denser to less dense medium: Light ray bends away from normal

Less dense to denser medium: Bends towards normal

$$1 < n \left( \lambda_{\text{red}} \right) < n \left( \lambda_{\text{green}} \right) < n \left( \lambda_{\text{blue}} \right)$$

Critical angle: $\sin{\theta_{c}} = \frac{n_{2}}{n_{1}}$, $n_{2}$ is smaller than $n_{1}$

Magnification: $M = \frac{h_{i}}{h_{o}} = \frac{d_{i}}{d_{o}}$

Click to zoom


  • An image that is real is always inverted!
  • An image that is virtual is always upright!

When a water wave moves from deep to shallow,

  • wavelength become shorter
  • Frequency remains the same (Freq. of water wave only depends on SOURCE)
  • Speed becomes slower

Factors that affect speed of sound

  • Temperature – Higher temperature = higher speed of sound
  • Medium – The denser the medium, the higher the speed of sound
  • Humidity – Sound travels faster in higher humidity conditions

Characteristics of Image formed on plane mirror

  • Same size
  • Laterally inverted
  • Image is virtual

Go to the next page for more equations

Back To O Level Topic List

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68 thoughts on “O Level Physics Formula List”

  1. I needed application of light waves and sound waves to the society at large but it was impossible for me to find

  2. It helped me save a lot of time. I copied all the formulas and practiced question using them. Finding all the formulas in one place helped me finish my revision in 2 hours, other wise it would’ve taken more than 3. Thanks a lot!


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