particle. This is the essence ot the indeterminacy principle. We could just as e

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particle. This is the essence ot the indeterminacy principle. We could just as easily draw a single sharp point at some particular x coordinate. (Figure 2)This could be considered a wave with a very well determined position. However, any notion of wavelength for such a wave seems strange Correct A wave like the one shown in the second figure can be built up by adding together waves with different wavele Recall that if Part B two waves with similar frequencies, i and J2, are added together, a wave with a beat frequency of f1 f2 is produced (Figure 3). This gives a wave with somewhat well-defined position and wavelength. If you add contributions from all of the frequencies between fi andf2, then you get a wave packet, which looks essentially like a single isolated beat cycle. (Figure 4)In this problem, you will consider such a wave packet as simply being one beat cycle of this wave. While not exactly correct, this will give a useful approxmation Find an expression for the uncertainty Ak-kk the wave number. Use your results from Part A Express your answer in terms of quantities given in Part A. Let the distance between the two nodes of the wave be the uncertainty in position Ax. Since the beat frequency is given by f1 - f2, and the wave travels at speed v, the uncertainty in position is given by Previous Answers Correct f1-f2 Part C Figure 1 of4 > What is the value of the product ?2Ap? Use p-hk to find the uncertainty in the momentum of the particle. Express your answer in terms of quantities given in Part A and fundamental constants. Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

Part C:- Value of ?x?p = v/f1-f2 * ?(h/2?.k) = v/f1-f2 * h/2? ?k

= v/f1-f2 * h/2? [2?(f1-f2/v) = h

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