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24-12-2010, 04:18
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6. A simple form of the binomial theorem states that (1+x)n = 1 + nx + n(n-1)x2/2 + n(n-1)(n-2)x3/6 + ……… when x2 < 1. Starting with the relativistic expression, use this theorem to derive the classical equation for the Doppler shift in wavelength for the case in which v << c.
- Classical equation of Doppler shift is
- Relativistic expression of Doppler shift is
:confused:
6. A simple form of the binomial theorem states that (1+x)n = 1 + nx + n(n-1)x2/2 + n(n-1)(n-2)x3/6 + ……… when x2 < 1. Starting with the relativistic expression, use this theorem to derive the classical equation for the Doppler shift in wavelength for the case in which v << c.
- Classical equation of Doppler shift is
- Relativistic expression of Doppler shift is
:confused: