Two superposing waves are represented by the following equations: 
\(y_1=5 \sin 2 \pi(10{t}-0.1 {x}), {y}_2=10 \sin 2 \pi(10{t}-0.1 {x}).\)
Ratio of intensities \(\frac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)

Subtopic:  Superposition Principle |
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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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If an interference pattern has maximum and minimum intensities in a \(36:1\) ratio, then what will be the ratio of their amplitudes?
1. \(5:7\)
2. \(7:4\)
3. \(4:7\)
4. \(7:5\)

Subtopic:  Superposition Principle |
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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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If the ratio of amplitudes of two coherent sources producing an interference pattern is \(3:4\), the ratio of intensities at maxima and minima is:
1. \(3:4\)
2. \(9:16\)
3. \(49:1\)
4. \(25:7\)

Subtopic:  Superposition Principle |
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Two waves from coherent sources meet at a point in a phase difference of \(\phi\) and path difference \(\Delta x.\) Both waves have same intensities \(I_0.\) Based on this information, match column-I and column-II:
Column-I Column-II
a. If \({\Delta x}={\lambda \over 3}\) (p) resultant intensity will be \(3I_0\)
b. If \(\phi = 60^{\circ}\) (q) resultant intensity will be \(I_0\)
c. If \({\Delta x}={\lambda \over 4}\) (r) resultant intensity will be zero
d. If \(\phi = 90^{\circ}\) (s) resultant intensity will be \(2I_0\)
 
1. a(q), b(p), c(s), d(s)
2. a(s), b(p), c(s), d(q)
3. a(q), b(s), c(s), d(p)
4. a(s), b(r), c(q), d(r)
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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Two waves, each of intensity \(i_{0}\) and wavelength \(0.2\) m, start from sources \(A\) and \(B\) and meet at point \(P\) as shown in the figure. If \(AP=0.5\) m, \(BP=0.8\) m, then intensity at \(P\) is:

        

1. \(2i_{0}\) 2. \(i_{0}\)
3. \(i_{0}/2\) 4. zero
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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

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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 \(\frac{3\pi}{2}\) 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. \(9:1\)

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