A wave is represented by $y=A\sin(\omega t-kx)$. If the frequency is doubled while the wave speed remains unchanged, what happens to the wavelength?
AIt doubles
BIt becomes half
CIt remains unchanged
DIt becomes four times
Answer & Solution
Correct answer: B. It becomes half
Since $v=f\lambda$, for constant wave speed $v$, wavelength is inversely proportional to frequency. Therefore, doubling $f$ makes $\lambda$ half of its original value.
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