Fundamental vibration


You are standing 0.75 m from your bathroom mirror in the morning. How far away is your image from you? Answer is 1.50 m. How was this answer found?

A steel wire in a piano has a length of 0.683 m and a mass of 4.24 grams. To what tension must this wire be stretched so that the fundamental vibration corresponds to the musical note middle C? The frequency of middle C = 262 Hz. The answer is 795 N. How was this answer achieved?

Directed light in air enters clear ice at an incident angle of 50 degrees from the normal. What is the angle from the normal in the ice? The index of refraction for ice is 1.31. Answer is 36 degrees. How was this answer achieved?

A train coming toward you at 15 m/s blasts a signal which you hear as 400 Hz. What frequency will you hear after the train passes? Assume the speed of sound is 343 m/s. Answer is 366 Hz. How was this answer achieved?

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Physics: Fundamental vibration
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