Question:
The displacement of a wave is given by \( y = 20 \cos(\omega t + 4x) \). The amplitude of the wave is
The displacement of a wave is given by \( y = 20 \cos(\omega t + 4x) \). The amplitude of the wave is
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In \( y = A \cos(\omega t + kx) \), the coefficient before cosine is always the amplitude.
Updated On: Apr 23, 2025
- 10
- 20
- \( 20\sqrt{2} \)
- \( 10\sqrt{2} \)
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The Correct Option is B
Solution and Explanation
In the standard wave equation:
\[
y = A \cos(\omega t + kx)
\]
Where:
- \( A \) is the amplitude
- \( \omega \) is angular frequency
- \( k \) is wave number Comparing: \[ y = 20 \cos(\omega t + 4x) \Rightarrow \text{Amplitude} = 20 \]
- \( \omega \) is angular frequency
- \( k \) is wave number Comparing: \[ y = 20 \cos(\omega t + 4x) \Rightarrow \text{Amplitude} = 20 \]
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