(4) For this question, you are required to use the DESMOS Graph calculator (time Evolution of...

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(4) For this question, you are required to use the DESMOS Graph calculator (time Evolution of superposed Wavefunction) and answer the following questions. a) Set n = 1, m = 2 and c₁ = 1.0. Increase the time and observe the variation in (x, t)1². Do you observe any changes? Explain your observation. b) Set n = 1, m = 2 and c₁ = 0.83. Increase the time and observe the variation in (x, t)² and average position. Describe your observation. Are the two quantities oscillating with the same frequency? what is the frequency? Write down the algebraic expression for the expectation value by observing it's time variation. Next set C₁ = 0.5. Did the frequency changed? 9 c) Set n = 1, m = 3 and c₁=0.83. Increase the time and observe the variation in (x, t)12 and average position. Is the expectation value varying with time? Explain. Find out the frequency with which 4(x, t)|²is varying. Is it higher or lower compared with the case (b). Similarly change m to higher values and see the changes in the frequency. Describe it. (4) For this question, you are required to use the DESMOS Graph calculator (time Evolution of superposed Wavefunction) and answer the following questions. a) Set n = 1, m = 2 and c₁ = 1.0. Increase the time and observe the variation in (x, t)1². Do you observe any changes? Explain your observation. b) Set n = 1, m = 2 and c₁ = 0.83. Increase the time and observe the variation in (x, t)² and average position. Describe your observation. Are the two quantities oscillating with the same frequency? what is the frequency? Write down the algebraic expression for the expectation value by observing it's time variation. Next set C₁ = 0.5. Did the frequency changed? 9 c) Set n = 1, m = 3 and c₁=0.83. Increase the time and observe the variation in (x, t)12 and average position. Is the expectation value varying with time? Explain. Find out the frequency with which 4(x, t)|²is varying. Is it higher or lower compared with the case (b). Similarly change m to higher values and see the changes in the frequency. Describe it.

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