Question:
The equation of a transverse wave in a string, $y = 3\sin 2\pi (25t + 0.4x)$ m. The wavelength of the wave is
The equation of a transverse wave in a string, $y = 3\sin 2\pi (25t + 0.4x)$ m. The wavelength of the wave is
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Coefficient of $x$ in wave gives $\frac{1}{\lambda}$.
Updated On: Apr 24, 2026
- $4.5\,m$
- $3\,m$
- $2.5\,m$
- $3.5\,m$
- $6.5\,m$
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The Correct Option is C
Solution and Explanation
Concept:
• Standard wave form: \[ y = A\sin 2\pi(ft + \frac{x}{\lambda}) \]
Step 1: Compare
\[ 0.4 = \frac{1}{\lambda} \]
Step 2: Find wavelength
\[ \lambda = \frac{1}{0.4} = 2.5\,m \] Final Conclusion:
Option (C)
• Standard wave form: \[ y = A\sin 2\pi(ft + \frac{x}{\lambda}) \]
Step 1: Compare
\[ 0.4 = \frac{1}{\lambda} \]
Step 2: Find wavelength
\[ \lambda = \frac{1}{0.4} = 2.5\,m \] Final Conclusion:
Option (C)
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