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Waves — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsWaves2 Marks
Question
A transverse harmonic wave on a string is described by
$\text{y}(\text{x, t})=3.0\sin\big(36\text{t}+0.018\text{x}+\frac{\pi}{4}\big)$
where x and y are in cm and t in s. The positive direction of x is from left to right.
What are its amplitude and frequency?
✓

Answer

3cm; 5.73Hz
Explanation:
Given,
$\text{y}(\text{x, t})=3\sin\big(36\text{t}+0.018\text{x}+\frac{\pi}{4}\big)$
Amplitude of the wave, a = 3cm
Frequency of the wave $\text{v}=\frac{\omega}{2\pi}=\frac{36}{2\pi}=5.7\text{hz}$

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