- A marble of mass 10.0 g is confined to a box 10.0 cm long and moves with a speed of 2 cm/s. - What is the marble's quantum number n in this speed? - Why can we not see the marble's energy quantized?
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Mass, $m = 10.0 \, g = 0.01 \, kg$ Length of the box, $L = 10.0 \, cm = 0.1 \, m$ Speed, $v = 2 \, cm/s = 0.02 \, m/s$ Show more…
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A marble of mass $10 \mathrm{g}$ is confined to a box $10 \mathrm{cm}$ long and moves at a speed of $2 \mathrm{cm} / \mathrm{s} .$ (a) What is the marble's quantum number $n ?$ (b) Why can we not observe the quantization of the marble's energy? [Hint: Calculate the energy difference between states $n$ and $n+1 .$ How much does the marble's speed change?]
A mass of $10^{-6} \mathrm{~g}$ is moving with a speed of about $10^{-1} \mathrm{~cm} / \mathrm{s}$ in a box of length $1 \mathrm{~cm} .$ Treating this as a one-dimensional infinite square well, calculate the approximate value of the quantum number $n$.
For a macroscopic object of mass 1.0 g moving with speed 1.0 cm/s in a one-dimensional box of length 1.0 cm, find the quantum number n.
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