Solution:
Solution
General equation of progressive wave:
y=Asin(ωt+kx)
Here, A is amplitude
ω is angular frequency
k is propagation constant
t is time
x is displacement
Given equation:
y=2sin(10x+300t)..
Linear charge density, μ=0.6×10−3g/cm=6×10−3kgm−1
Compare with general equation:
Velocity of the wave in the string:
v=ω/ k = 300 / 10 = 30ms−1
Relation for velocity in terms of tension:
T=μv2 = 6×10−3 × (30)2 = 5.4N
Hence, tension in string is 5.4N