A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of . Wavelength is measured for that light by a detector fixed at the center of the circle. What is the wavelength shift ?
The wavelength shift for sodium light source is 2.97 nm.
The proper wavelength of emitting light is
The speed of sodium light source is
The wavelength shift is the variation in the wavelength of light due to relative movement of source and observer in different frames. It is calculated by the wavelength shift formula.
The wavelength shift for sodium light source is given as:
Substitute all the values in the above equation.
Therefore, the wavelength shift for sodium light source is 2.97 nm.
The premise of the Planet of the Apes movies and books is that hibernating astronauts travel far into Earth’s future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity, determine how far into Earth’s future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again?
Question: Apply the binomial theorem (Appendix E) to the last part of Eq. 37-52 for the kinetic energy of a particle. (a) Retain the first two terms of the expansion to show the kinetic energy in the form
The first term is the classical expression for kinetic energy. The second term is the first-order correction to the classical expression. Assume the particle is an electron. If its speed v is c/20 , what is the value of (b) the classical expression and (c) the first-order correction? If the electron’s speed is 0.80s, what is the value of (d) the classical expression and (e) the first-order correction? (f) At what speed parameter does the first-order correction become 10% or greater of the classical expression?
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