$A$ body vibrating with a time period of $5 \times 10^{-3} \text{ s}$ produces a wave travelling in a medium with a velocity of $1450 \text{ m s}^{-1}$. Calculate its wavelength and the frequency of vibration of the body.

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(N/A) Given: Time period $T = 5 \times 10^{-3} \text{ s}$,Velocity $V = 1450 \text{ m s}^{-1}$.
$1$. Frequency $(v)$: The frequency is the reciprocal of the time period.
$v = \frac{1}{T} = \frac{1}{5 \times 10^{-3}} = \frac{1000}{5} = 200 \text{ Hz}$.
$2$. Wavelength $(\lambda)$: The wavelength is calculated using the relation $V = v \times \lambda$.
$\lambda = \frac{V}{v} = \frac{1450}{200} = 7.25 \text{ m}$.
Thus,the frequency is $200 \text{ Hz}$ and the wavelength is $7.25 \text{ m}$.

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