IMPORTANT EQUATIONS & CONCEPT T3 Electric and magnetic forces on particles Direction of moving particles in electric and magnetic fields can be used to find properties of those particles. New Vocabulary: isotope: Each form of the same atom that has the same chemical properties but a different mass is an isotope. Mass spectrometer: is an instrument that measures the charge-tomass ratio of positive ions within a material. Equations: Charge-to-mass ratio of an electron in a magnetic field.: q/m=v/Br Charge-to-mass ratio of an ion in a mass spectrometer: q/m=2Vaccel/B^2r^2 Electric and Magnetic fields in space Electromagnetic waves are coupled, oscillating electric and magnetic fields that move through space and interact with matter. New Vocabulary: Electromagnetic waves: are coupled, oscillating electric and magnetic fields that propagate through space and matter. Electromagnetic spectrum: is the range of frequencies that make up the continuum of magnetic waves. Electromagnetic radiation: is the energy that is carried by electromagnetic waves in their oscillating electric and magnetic fields. Transmitter: is a device that converts voice, music, pics, or data to electronic signals, amplifies the signals, and then sends the signals to an antenna. Antenna: creates the electromagnetic waves that propagate through the air. Dielectric: is a poor conductor of electric current whose electric charges partially align with an electric field. Carrier wave: is the name of the station in USA a specific wavelength in the ratio part of the electromagnetic spectrum. Piezoelectricity: when quartz crystals deform when a potential difference is applied across them,a property known as piezoelectricity. receiver: which converts them to usable information-sound, pics, or data. Equations: √ Wavelength-frequency: λ=c/f & λ=v/f velocity-of-a-wave: v=c/ k Interference Light can interfere when passing through narrow slits or reflecting from a thin film. New Vocabulary: Incoherent light: which is light whose waves are not in phase. Coherent light: is a light made up of waves of the same wavelength that are in the phase with each other. Interference fringes: The overlap created a pattern of bright and dark bands. Monochromatic light: which is light of only one wavelength. Thin-film interference: The colors are a result of the constructive and destructive interference when light rays reflect from separate surfaces of a thin film, a phenomenon called thin-film interference. Equations: Wavelength from double-slit investigation: λ=xd/L Diffraction Light waves diffract when they pass through a single slit and diffract and interfere when they encounter a diffraction grating. New Vocabulary: Diffraction pattern: is a pattern than causes on a screen when light passes through a slit that has two closely spaced edges.. Diffraction grating: is a device that is made up of many small slits that diffract light and form a pattern that is an overlap of single- slit diffraction patterns.. Rayleigh criterion: states that if the center of the bright spot of one source's image falls on the first dark ring of the second, the two images are at the limit of resolution. Equations: Width of bright band in single-slit diffraction: 2x1=2λL/w Wavelenth from a diffraction grating: λ=dsinΘ Rayleigh criterion: Xobj=1.22λLobj/D A particle model of waves Light can behave as massless particles called photons New Vocabulary: Emission spectrum: Is a graph of intensity of the radiation emitted from an object over a range of frequencies. Quantized: It exists only in bundles of specific amounts. Photoelectric effect: Is the emission of electrons when electromagnetic radiation falls on an object. Threshold frequency: Electrons eject from the cathode only if the frequency of the incident radiation is greater than a certain minimum value. Photon: is a visible light and other forms of electromagnetic radiation consist of discrete, quantized bundles of energy. Work function: is the energy needed to free the most weakly bound electron from the metal. Compton effect: The shift in the energy of scattered photons. Equations: Energy of vibration: E=nhf Energy of a photon: E=hf Energy of a photon: E=hc/λ=1240ev.nm/λ Kinetic energy of an electron ejected due to the photoelectric effect: KE=hf-hf0 Photon momentum: p=hf/c=h/λ Matter waves Moving particles have wavelike properties. New Vocabulary: de Broglie wavelength: The wavelength λ calculated from the above relationship represents that of the moving particle. Heisenberg uncertainty principle: which states there is a limit to how precisely a particle;s position and momentum can simultaneously be measured. Equations: De Broglie wavelength: λ=h/p=h/mv Moza Hilal 12b