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Physics of Sound

  1. Equation of a progressive wave is given by
    y = 4sin π
    t
    -
    x
    +
    π
    596

    Then which of the following is correct?
    1. v = 5 cm
    2. λ = 18 cm
    3. a = 0.04 cm
    4. f = 50 Hz
Correct Option: B

The standard equation of a progressive wave is

y = a sin
t
-
x
+ φ
Tλ

The given equation can be written as
y = 4 sin
t
-
x
+
φ
10186

∴ a = 4 cm, T = 10 s, λ = 18 cm and φ = π/6
Hence, (b) is correct.



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