A) \[1{{m}^{-1}}\]
B) \[2{{m}^{-1}}\]
C) \[\pi {{m}^{-1}}\]
D) \[2\pi {{m}^{-1}}\]
Correct Answer: C
Solution :
The standard equation of wave is \[y=a\sin (\omega t-kx)\]? (i) where \[a\]is amplitude,\[\omega \]the angular velocity and\[x\]the displacement at instant\[t\]. Given equation is \[y=0.1\,\,\sin (100\pi t-kx)\] ? (ii) Comparing Eq. (i) with Eq. (ii), we get \[\omega =100\pi \] \[\therefore \] Wave number\[=\frac{\omega }{v}=\frac{100\pi }{100}=\pi \,\,{{m}^{-1}}\]
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