The minimum angular separation θ (in radians) for two points to be just resolved is given by This is when the central maximum of one image coincides with the first minimum of the other. The Rayleigh criterion is when two points are just resolved. These patterns can be categorized as resolved, just resolved, or not resolved depending on the separation between the images.
Where λ is the wavelength, m is the order of the maximum, D is the distance of the slits to the screen, and d is the distance between the two slits.
Where λ is the wavelength, m is the order of the maximum, D is the distance of the slits to the screen, and a is width of the slit. Where λ is the wavelength and a is the size/length of the slit The angle of diffraction for the first minimum θ can be given by We can represent this diffraction pattern by plotting the light intensity against the angle of diffraction. Special diffraction patterns appear when light is diffracted by a single slit which is comparable to the wavelength of the light in size. Total energy (KE+PE) remains constant throughout the motion.At minimum displacement, PE is at max while KE=0.At zero displacement, KE is at max while PE=0.At maximum displacement, PE is at max while KE=0.However, the total energy remains constant. In a SHM, there is an interchange between KE and PE throughout the motion. The angular frequency ( w ) is related to the period of the SHM by the following equation Where x0 is the amplitude (maximum displacement), x is the displacement, v is the velocity, and a is the acceleration. 9.1 – Simple harmonic motionīy Newton’s Second Law, SHM can be defined as the following equations
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