For a wave with a fixed speed, v
1. Double the amplitude of a wave and the frequency doubles
2. Quadruple the wavlength and the frequency doubles
4. Double the frequency and the wavelength is halved
8. Double the frequency and the wavenumber doubles
16. Quadruple the wavelength and the frequency is halved
32. Quadruple the angular frequency and the wavelength is quadrupled
Add together true answers. For false answers, decide how to make them true.
If the speed of a mechanical wave is proportional to the square root
of the restoring force (such as the tension in a string), and inversely
proportional to the square root of the mass density (such as mass per
unit length on a string),
which options below should lead to a doubling of the wave speed:
1. double the tension
2. halve the mass per unit length
4. increase tension by sqrt(2)
8. decrease mass density by sqrt(2)
16. quadruple the tension
32. quarter the mass density
64. increase the tension by a factor of 2 and decrease the mass density by a fator of 2
128. decrease the tension by a factor of 2 and increase the mass density by a factor of 2
Add together true possibilities.