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scratchpad12

-              v1
+              v2
 The period T is inversely proportional to frequency, so if we double the frequency, we halve the period.
+.) As the train moves faster towards you, the sound waves are emitted from locations that are closer and closer to you, which means that each successive wave has a shorter and shorter distance to travel, so while they travel at the same speed through the air, they take less and less time to reach you, so they arrive closer and closer together in time, and the frequency with which the waves arrive is higher.
+SInce the speed of sound remains constant, and the frequency increases, the wavelength must decrease...
+$c = \lambda \nu $
+.)
+$ \lambda = \frac{c}{\nu} = \frac{2.99792458 \times 10^8 m/s}{670 nm} {1 \times 10^9 nm}{1 m} \frac{Hz s}{1} = 2.0 \times 10^20 Hz $