On superposition of two waves \(y_{1}=3\sin\left ( \omega t-kx \right )\) and \(y_{2}=4\sin\left ( \omega t-kx+\frac{\pi }{2} \right )\) at a point, the amplitude of the resulting wave will be:
1. \(7\)
2. \(5\)
3. \(\sqrt{7}\)
4. \(6.5\)

Subtopic:  Superposition Principle |
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Level 1: 80%+
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Two superposing waves are represented by the following equations: \(y_1=5 \sin 2 \pi(10{t}-0.1 {x}), {y}_2=10 \sin 2 \pi(10{t}-0.1 {x}).\) 
The ratio of intensities \(\dfrac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)

Subtopic:  Superposition Principle |
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Level 1: 80%+
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Two sources with intensity \(I_0\) and \(4I_0\) respectively interfere at a point in a medium. The maximum and the minimum possible intensity respectively would be:
1. \(2I_0, I_0\)
2. \(9I_0, 2I_0\)
3. \(4I_0, I_0\)
4. \(9I_0, I_0\)

Subtopic:  Superposition Principle |
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Two light sources are said to be coherent when their:

1. Amplitudes are equal and have a constant phase difference
2. Wavelengths are equal.
3. Intensities are equal.
4. Frequencies are equal and have a constant phase difference.
Subtopic:  Superposition Principle |
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In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is \(\lambda\) is \(K\), (\(\lambda\) being the wavelength of light used). The intensity at a point where the path difference is \(\frac{\lambda}{4}\) will be:
1. \(K\)
2. \(\frac{K}{4}\)
3. \(\frac{K}{2}\)
4. zero

Subtopic:  Superposition Principle |
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Level 2: 60%+
AIPMT - 2014
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Light waves of intensities \(I\) and \(9I\) interfere to produce a fringe pattern on a screen. The phase difference between the waves at point \(P\) is \(\dfrac{3\pi}{2}\) and \(2\pi\) at other point \(Q\). The ratio of intensities at \(P\) and \(Q\) is:
1. \(8:5\)
2. \(5:8\)
3. \(1:4\)
4. \(9:1\)

Subtopic:  Superposition Principle |
 63%
Level 2: 60%+
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