A) \[0.1\,\,unit\]
B) \[2\,\,unit\]
C) \[0.3\,\,unit\]
D) \[0.2\,\,unit\]
Correct Answer: A
Solution :
Key Idea: The standard equation of sound wave is \[y=a\sin 2\pi \left( \frac{x}{\lambda }+\frac{t}{T} \right)\] where \[a\] is amplitude, \[\lambda \] is wavelength and \[T\] is time period. Given, equation of wave is \[y=0.0015\sin (62.8x+314t)\] ... (i) Comparing given Eq. (i) with standard wave equation, we get \[\frac{2\pi }{\lambda }=62.8\] \[\Rightarrow \] \[\lambda =\frac{2\pi }{62.8}=\frac{2\times 3.14}{62.8}\]
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