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Interference of light waves- 1, Interference of light waves- 2 is considered one of the most asked concept.
30 Questions around this concept.
Two waves and
superimpose to form a resultant wave. The amplitude of this resultant wave is given by
The time of exposure for a photographic print is 10 seconds when a lamp of 50 cd is placed at 1 m from it. Then another lamp of luminous intensity I is used and is kept at 2 m from it. If the time of exposure now is 20 s, the value of I (in cd) is
A parallel beam of white light falls on a thin film whose refractive index is 1.33. If the angle of incidence is , then the thickness of the film for the reflected light to be coloured yellow
most intensively must be
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In the following passage there are blanks, each of which has been numbered and one word has been suggested alongside the blank. These numbers are printed below the passage and against each, five options are given. Find out the appropriate word which fits the blank appropriately. If the word written alongside the blank fits the passage, choose option ‘e’ (No correction required) as the correct choice.
India's semi-high-speed train Vande Bharat Express which was rallied (91)_______off by PM Narendra Modi, breaks down around 5.30 am this morning on its return from Varanasi to Delhi.According to railway officials who didn't want to be confused (92)__________, there was a major technical fault that led to break locking and wheel friction. To add on there was partial (93)_______ power failure to four coaches. Till 7.50 am the Indian Railways failed to identify and worsen (94)______ the problem. On the question of whether the Train 18 or Vande Bharat Express was fit for commercial run, railway officials were loquacious (95)_______. Notably, Train 18 is completely booked and has waiting list till February 24. Vande Bharat Express is expected (96)_________ to start its commercial operations.The reporter who was on board along with few other media officials felt suddenbreaks (97)__________ being applied around 5.30 am at Barhan around 18 km from Tundla station. A railway official on condition of anonymity said, "If the engineers are unable to rectify the problem, the train would be pushed (98)________ using another engine. But there would be problem in loosening the (99)______ engine. The engine coupler is covered, and the coupler cover needs to be removed.The train expanded (100)________ its operations around 10.30 am and reached New Delhi railway station at 1pm. According to railway officials the train was driven at speed of around 100km/h on enroute to Delhi after rectifying the fault.
What should come in the place of 94?
Consider a Young's double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength
The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio will be :
In the Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is is K, (
being the wave length of light used). The intensity at a point where the path difference is
, will be:
In Young's double slit experiment, one of the slits is wider than the other, so that the amplitude of the light from one slit is double of that from the other slit. If Im be the maximum intensity, the resultant intensity I when they interfere at phase difference is given by :
A ray of light of intensity
The interference pattern is obtained with two coherent light sources of intensity ratio
In order to observe interference in light waves, the following conditions must be met:
Coherent sources-
Two sources are said to be coherent if they produce waves of the same frequency with a constant phase difference.
- The relation between Phase difference
Phase difference
The difference between the phases of two waves at a point is called phase difference.
i.e. if
Path difference
The difference in path lengths of two waves meeting at a point is called path difference between the waves at that point.
And The relation between Phase difference
where
Principle of Super Position-
According to the principle of Super Position of waves, when two or more waves meet at a point, then the
resultant wave has a displacement
consider two waves with the equations as
where
And According to the principle of Super Position of waves
Now let
Putting this in equation (1) we get
thus we get the equation of the resultant wave as
where
and
and
where
-
Resultant Intensity of two waves (I)-
Using
we get
where
.
.
- For identical source-
Average intensity :
- The ratio of maximum and minimum intensities
or
Interference of Light-
It is of the following two types.
1. Constructive interference-
i.e we will see bright fringe/spot.
- The phase difference between the waves at the point of observation is
- Path difference between the waves at the point of observation is
- The resultant amplitude at the point of observation will be maximum
If
- Resultant intensity at the point of observation will be maximum
2. Destructive interference-
i.e we will see dark fringe/spot.
The phase difference between the waves at the point of observation is
- Path difference between the waves at the point of observation is
- The resultant amplitude at the point of observation will be maximum
If
- Resultant intensity at the point of observation will be maximum
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