question_answer

A given sound wave, having a time period of\[{{10}^{-3}}s\], has a wavelength of 0.332m. If another sound wave has a lower time period of\[{{10}^{-4}}s\], find the frequency and wavelength of this new wave.

Answer:

We know,                           \[V=\frac{\lambda }{T}\]                                                 \[=\frac{0.332m}{{{10}^{-3}}s}\]                                                 \[=332m{{s}^{1}}\] For new wave, 'v' remains the same. Hence, \[332=\frac{\lambda }{{{10}^{-4}}}\]                                 \[\Rightarrow \]\[\lambda =332\times {{10}^{-4}}m\]                                 \[=0.0332m\] Also       \[n=\frac{1}{T}\]                                 \[=\frac{1}{{{10}^{-4}}}Hz\]                                 \[={{10}^{4}}Hz\]