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Speed of wave depends only on the medium.
1.
Transverse wave on string:
v
T

where T is the tension in the string, and  is the mass per unit length of string.
2.
Longitudinal wave in solid:
v
E

where E is the Young modulus of solid, and  is the density of solid.
For sound wave in liquid, E is the bulk modulus of elasticity of the liquid.
3.
Sound wave in gas:
v
P

where P and  are pressure and density of gas, and  is the ratio of molar heat
capacities of gas.
 is
5
3
for monatomic molecules like helium and neon;  is
7
5
for diatomic
molecules like hydrogen, oxygen and nitrogen.
4.
Electromagnetic waves:
v
1

where  is the permitivity and  is the permeability of the medium.
 relates to the electric field while  relates to the magnetic field of waves.
yck2-1/2006