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Q.

A sound wave has frequency 256 Hz and wavelength 1.3 m. Find velocity.

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Detailed Solution

Speed of sound wave with f=256 Hz, λ=1.3 mf=256\ \text{Hz},\ \lambda=1.3\ \text{m}
Answer: v=fλ=256×1.3=332.8 m s1v=f\lambda=256\times1.3=332.8\ \text{m s}^{-1}.
Method: Wave speed is the product of frequency and wavelength for uniform media. Units: s1m=m s1\text{s}^{-1}\cdot\text{m}=\text{m s}^{-1}. This value aligns with typical room-temperature air speeds (~330–343 m/s), so it’s plausible. If temperature rose, speed would increase, but frequency remains source-controlled while wavelength adjusts: λ=v/f\lambda=v/f. In many NEET problems, medium properties are constant unless stated.

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