Derive the wave equation of a transverse wave travelling through
stretched string due tension force T and linear density p.
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1
Explanation:
Speed=v,Tension=t,Density=
L
m
So, the velocity is given by,
KL
A
T
B
M
C
So.[M
0
LT
−1
]=[L]
A
[MLT
−2
]
B
[
L
M
]
C
[M
0
LT
−1
]=[M
B+C
L
A+B−C
T
−2B
]
On computing the coefficient then we get,
B+C=0,A+B−C=1−2B=−1
Then we getb=
2
1
,c=
2
−1
,a=0
Thus, V=k
M
T
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