calculate the amplitude, frequency,period ,wave length and velocity of a wave represented by y = 10 sin 2π/100
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Answer: x=10sin2π(100t−0.02x)+10sin2π(100t+0.02x).
⇒10[sinA+sinB],
where
B=2π(100t−0.02x) and
A=2π(100t+0.02x).
Thus,
⇒10[2sin
2
A+B
sin
2
A−B
]
⇒20sin(2π100t)sin(2π0.02x).
Comparing the above equation with standard standing wave equation, we get
amplitude =20 and wave vectork=
λ
2π
=2π×0.02⇒λ=50.
Therefore, the loop length =
2
λ
=25
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