Two superposing waves are represented by the following equations:
\({\mathrm{y}_1=5 \sin 2 \pi(10 \mathrm{t}-0.1 \mathrm{x}), \mathrm{y}_2=10 \sin 2 \pi(10 \mathrm{t}-0.1 \mathrm{x}).}\)
Ratio of intensities will be:
1. 1
2. 9
3. 4
4. 16
On superposition of two waves \(y_{1}=3sin\left ( \omega t-kx \right )\) and \(y_{2}=4sin\left ( \omega t-kx+\frac{\pi }{2} \right )\) at a point, the amplitude of the resulting wave will be:
1. 7
2. 5
3.
4. 6.5
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
Two sources with intensity Io and 4Io respectively interfere at a point in a medium. The maximum and the minimum possible intensity respectively would be:
1. 2Io, Io
2. 9Io, 2Io
3. 4Io, Io
4. 9Io, Io
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
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) |
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. |
Two waves, each of intensity \(i_{0}\)
1. \(2i_{0}\)
2. \(i_{0}\)
3. \(i_{0}/2\)
4. zero
In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is λ is K, (λ being the wavelength of light used). The intensity at a point where the path difference is λ/4 will be:
1. K
2. K/4
3. K/2
4. Zero
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 and 2 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