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Speed of light in M P H?

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Anonymous

13y ago
Updated: 8/18/2019

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13y ago

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What is the De Broglie wavelength of an electron that strikes the back of the face of a TV screen at 19 the speed of light?

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The characteristic wavelength of an electron = h / p, where h = Planck's constant; p = the electron linear momentum = electron mass * speed = g * electron rest mass * speed; and g = the Lorentz factor to account for the electron-mass change with speed. Known facts: h = 6.63 × 10-34 [J s] electron rest mass, me = 9.11×10-31 [kg] electron speed, v = 1.5x108 [m/s] c = speed of light in vacuum = 3x108 [m/s] v/c = 0.5 g = 1/sqrt(1 - v2/c2) = 1/sqrt(0.75) = 1.1547 Therefore, p = 1.1547 * 9.11×10-31 [kg] * 1.5x108 [m/s] = 2.7e-29 [kg m s-1] Hence, the electron wavelength = 6.63 × 10-34 [J s] / 2.7e-29 [kg m s-1] = 2.46e-5 [m] or 2.46x10-5 [m]. Q.E.D. =========================


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