Quantum Mechanics of a particle in a potential well

1. If you increase the quantum number n, what happens to the number of nodes in the wavefunction?
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2. What is the effect of changing the amplitude A on the wavefunction?
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3. In an infinite potential well, where is the probability of finding the particle zero?
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4. What happens to the energy spacing between levels as the quantum number n increases in an infinite potential well?
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5. What determines the curvature of the wavefunction inside a potential well?
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