A) 0.1 unit
B) 0.2 unit
C) 0-4 unit
D) 0.5 unit
Correct Answer: A
Solution :
Key Idea: Standard equation of progressive sound wave is \[y=a\sin 2\pi \left( \frac{t}{T}+\frac{x}{\lambda } \right)\] For a wave travelling with amplitude a, wavelength\[\lambda \]having periodic time T, the displacement equation at instant t is given by \[y=a\sin 2\pi \left( \frac{t}{T}+\frac{x}{\lambda } \right)\] ?(i) Given, equation of wave is \[y=0.0015\sin (62.8x+316t)\] ?(ii) Comparing Eqs. (i) and (ii), we get \[\frac{2\pi x}{\lambda }=62.8x\] \[\Rightarrow \] \[\lambda =\frac{2\pi }{62.8}=0.1\,\text{unit}\]
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