Single and two sources interference Flashcards
Principle of Superposition
Principle of superposition state that when two or more waves of the same kind interfere at a point, the RESULTANT DISPLACEMENT at that point is the is the vector sum of displacement of each wave
interference
Interference is an effect when two or more waves overlap to produce a NEW WAVE PATTERN with
CHANGE IN AMPLITUDE
Constructive Intereference
Constructive interference is an effect where two or more waves overlap at a point such that the displacement of the resultant wave is larger than the maximum displacement of individual waves
Destructive Interference
Destructive Interference is an effect where two or more waves meet at a point such that the resultant displacement is smaller than the largest individual displacement
Coherent
Sources maintain a constant phase difference
Conditions for interference pattern to be observable
1) The amplitude must be approximately the same
2) Sources must be COHERENT
3) Transverse waves–If one source is unpolarized another source is unpolarized too. If one source is polarized, the other source must be polarised along the same axis
If white light where use
The central spot is still white since all colors travel the same distance and they will meet there in phase
Other bright spots will have various colours diffracted to their wavelengths. The longer the wavelength, larger the angle of diffraction
Conditions to resolve 2 objects
To just able to resolve the 2 objects,
1) the central maximum of diffraction pattern of one object
2) must fall at the first minimum of the diffraction pattern of the other diffraction pattern
Conditions to resolve 2 objects
To just able to resolve the 2 objects,
1) the central maximum of diffraction pattern of one object
2) must fall at the first minimum of the diffraction pattern of the other diffraction pattern
Rayleigh’s criterion
Two images formed by a SLIT are just distinguishable if
1) Central Maximum of diffraction pattern for ones imagine
2) falls on the first minimum of the diffraction pattern for the other image
Minimum angle of resolution is =