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. \(4:9\)
Subtopic:  Energy of Waves |
 76%
Level 2: 60%+
AIPMT - 2005
Hints

The rate of energy transfer in a wave depends:
1. directly on the square of the wave amplitude and square of the wave frequency.
2. directly on the square of the wave amplitude and square root of the wave frequency.
3. directly on the wave frequency and square of the wave amplitude.
4. directly on the wave amplitude and square of the wave frequency.
Subtopic:  Energy of Waves |
 75%
Level 2: 60%+
Hints

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. \(1:16\)
Subtopic:  Energy of Waves |
Level 3: 35%-60%
Hints

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