A taut string, fixed at both ends, is allowed to vibrate in its fundamental mode with a maximum amplitude \(A.\) The total energy of vibration is proportional to:
1. \(A\) 2. \(A^2\)
3. \(A^4\) 4. \(\dfrac{1}{A^2}\)
Subtopic:  Energy of Waves |
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A point source of sound is placed in a non-absorbing medium. Two points \(A\) and \(B\) are at a distance of \(2~\text m\) and \(3~\text m\) from the source, respectively. The ratio of the intensity of the wave at \(A\) to that at \(B\) is:
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
Subtopic:  Energy of Waves |
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