This Physics quiz is called 'Physics - Transverse Waves' and it has been written by teachers to help you if you are studying the subject at senior high school. Playing educational quizzes is one of the most efficienct ways to learn if you are in the 11th or 12th grade - aged 16 to 18.
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When asked to draw a diagram of a wave in science, most people would probably draw a wiggly line as that resembles the waves that you see on water. That type of wave is called a transverse wave. Waves are formed by vibrations and create oscillations (posh word for vibrations) in the medium through which they pass. Transverse waves cause oscillations at right angles to the direction they are traveling. That is how they get their name - transverse means across.
Mechanical waves make the particles of the medium itself vibrate. Sound is a mechanical wave but not a transverse wave, so it is dealt with in a different quiz. Earthquake waves, other than the P waves, are transverse and they make the particles of the ground shake from side to side as they pass - with devastating consequences. Water waves and ripples are mechanical waves and they cause the water molecules to vibrate up and down as they pass.
Electromagnetic waves are also transverse waves, but they don't need a physical medium to travel - in fact they travel better where it is just empty space. They cause oscillations in the electric and magnetic fields that are everywhere in the universe, hence their name. For the exam, you are expected to know the order of electromagnetic waves within the spectrum in terms of energy, frequency and wavelength.