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 |
 86%
Level 1: 80%+
Hints
Next Hint

In Young's double-slit experiment, the ratio of intensities of bright and dark fringes is \(9\). This means that:
1. the intensities of individual sources are \(5\) and \(4\) units respectively.
2. the intensities of individual sources are \(4\) and \(1\) unit respectively.
3. the ratio of their amplitudes is \(3\).
4. the ratio of their amplitudes is \(6\).
Subtopic:  Young's Double Slit Experiment |
 65%
Level 2: 60%+
Hints

In the given figure \(S_1\) and \(S_2\) are two coherent sources oscillating in phase. The total number of bright fringes and their shape as seen on the large screen will be:

              

1. \(3\), rectangular strips 
2. \(3\), circular
3. \(4\), rectangular strips 
4. \(4\), circular
Subtopic:  Interference vs Diffraction |
 56%
Level 3: 35%-60%
Hints

advertisementadvertisement

A single slit of width \(0.1\) mm is illuminated by a parallel beam of light of wavelength \(6000~\mathring{A}\) and diffraction bands are observed on a screen \(0.5\) m from the slit. The distance of the third dark band from the central bright band is:
1. \(3~\text{mm}\)
2. \(9~\text{mm}\)
3. \(4.5~\text{mm}\)
4. \(1.5~\text{mm}\)

Subtopic:  Diffraction |
 73%
Level 2: 60%+
Hints

In Young's double-slit experiment, the light emitted from the source has \(\lambda = 6.5\times 10^{-7}~\text{m}\) and the distance between the two slits is \(1~\text{mm}.\) The distance between the screen and slits is \(1~\text m.\) The distance between third dark and fifth bright fringe will be:
1. \(3.2~\text{mm}\) 
2. \(1.63~\text{mm}\) 
3. \(0.585~\text{mm}\) 
4. \(2.31~\text{mm}\) 

Subtopic:  Young's Double Slit Experiment |
 80%
Level 1: 80%+
Hints

In Young's double-slit experiment, the slit separation is doubled. This results in:

1. An increase in fringe intensity
2. A decrease in fringe intensity
3. Halving of the fringe spacing
4. Doubling of the fringe spacing

Subtopic:  Young's Double Slit Experiment |
 71%
Level 2: 60%+
Hints

advertisementadvertisement

Two polaroids are kept crossed to each other. Now one of them is rotated through an angle of \(45^{\circ}\). The percentage of incident light now transmitted through the system is:
1. \(15\%\)
2. \(25\%\)
3. \(50\%\)
4. \(60\%\)

Subtopic:  Polarization of Light |
 70%
Level 2: 60%+
Hints

Light travels faster in the air than in glass. This is in accordance with:

1. the wave theory of light.
2. the corpuscular theory of light.
3. neither \((1)\) nor \((2)\)
4. both \((1)\) and \((2)\)
Subtopic:  Huygens' Principle |
 62%
Level 2: 60%+
Hints

A beam of light \(AO\) is incident on a glass slab \((\mu= 1.54)\) in a direction as shown in the figure. The reflected ray \(OB\) is passed through a Nicol prism. On viewing through a Nicole prism, we find on rotating the prism that:

        

1. the intensity is reduced down to zero and remains zero.
2. the intensity reduces down somewhat and rises again.
3. there is no change in intensity.
4. the intensity gradually reduces to zero and then again increases.
Subtopic:  Polarization of Light |
 54%
Level 3: 35%-60%
Hints

advertisementadvertisement

Unpolarized light of intensity \(32\) Wm–2 passes through three polarizers such that the transmission axes of the first and second polarizer make an angle of \(30^{\circ}\) with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of the final emerging light will be:
1. \(32\) Wm–2
2. \(3\) Wm–2
3. \(8\) Wm–2
4. \(4\) Wm–2

Subtopic:  Polarization of Light |
 66%
Level 2: 60%+
Hints