# Pauli pergamon ny 1958 pages 94 97 the doppler

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Unformatted text preview: vation than in the textbook see “Theory of Relativity” by W. Pauli (Pergamon NY 1958) pages 94-97. The Doppler formula for the frequency of the reﬂected wave is fr = f 1+ 1− v c v c ￿ v￿ ≈f 1+2 . c Thus v fr − f = 2 f c v= fr − f c 2f In our case fr < f so the car is moving away. The speed is the magnitude of the above |v | = 2 × 103 3 × 108 = 15ms−1 . = 54 km/hr 4 × 1010 −15 8 4. We have E = hf = hc so that λ = hc = 4×10 E×3×10 when E is in λ E M eV and λ is in meters. This means that with E = 1.24 × 105 eV λ = 10 pm. 5. The fraction left decreases exponetially with time. If T is the half life, t t after time t the fraction of the isotope left is 2− T .In our case T = 3 = 4 . 9 12 1 Thus 2−4 = 16 of the isotope is left. 6. We use E = mc2 so that m= E 3 × 106 × 1.6 × 10−19 = = 5.3 × 10−30 kg 2 c (3 × 108 )2 2...
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## This note was uploaded on 02/01/2013 for the course PHY 114 taught by Professor Jordan during the Spring '08 term at Rochester.

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