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Q. No.Two waves represented by the following equations are travelling in the same medium \(y_1 = 5 \sin2\pi (75t-0.25x)\), \(y_2 = 10 \sin2\pi (150t-0.50x)\). The intensity ratio \(\frac{I_1}{I_2}\) of the two waves will be:
1. \(1:2\)
2. \(1:4\)
3. \(1:8\)
4. \(1:16\)
1. \(1:2\)
2. \(1:4\)
3. \(1:8\)
4. \(1:16\)
Subtopic: Â Energy of Waves |
From NCERT
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A point source emits sound equally in all directions in a non-absorbing medium. Two points, \(P\) and \(Q,\) are at distances of \(2~\text m\) and \(3~\text m,\) respectively, from the source. The ratio of the intensities of the waves at \(P\) and \(Q\) is:
1. \(3:2\)
2. \(2:3\)
3. \(9:4\)
4. \(4:9\)
1. \(3:2\)
2. \(2:3\)
3. \(9:4\)
4. \(4:9\)
Subtopic: Â Energy of Waves |
 77%
From NCERT
AIPMT - 2005
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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. \(2:3\)
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
Subtopic: Â Energy of Waves |
 83%
From NCERT
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Two coherent sound sources are at distances \(S_1=0.3\) m, \(S_2=0.55\) m from a point. Each wave produces intensity \(I_0\) at the point. If the frequency of each wave is \(1000\) Hz and the velocity in the medium is \(500\) m/s, then the intensity of the resultant wave at the point is:
1. zero
2. \(\frac{I_0}{2}\)
3. \(I_0\)
4. \(2I_0\)
Subtopic: Â Energy of Waves |
 60%
From NCERT
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Hints
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When two waves with same frequency and constant phase difference interfere,
| 1. | there is a gain of energy. |
| 2. | there is a loss of energy. |
| 3. | the energy is redistributed and the distribution changes with time. |
| 4. | the energy is redistributed and the distribution remains constant in time. |
Subtopic: Â Energy of Waves |
 72%
From NCERT
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