Question
A sound wave of wavelength $0.332m$ has a time period of $10^{-3}s.$ If the time period is decreased to $10^{-4}s,$ what is wavelength of new wave.
Here,
$\lambda=0.332\text{m}$
$\text{T}=10^{-3}\text{s}$
Using $\text{V}=\frac{\lambda}{\text{T}}$
$=\frac{0.332}{10^{-3}}$
$=332\text{ms}^{-1}$
$\text{T}=10^{-4}\text{s}$
$\lambda=?$
$\text{V}=?$
Using $\text{V}=\frac{\lambda}{\text{T}}$
$\Rightarrow\lambda=\text{VT}=332\times10^{-4}$
$=0.0332\text{m}$
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