Problem

About how long would it take for a can of beer at room temperature to topple over sponta...

About how long would it take for a can of beer at room temperature to topple over spontaneously, as a result of quantum tunneling? Hint: Treat it as a uniform cylinder of mass in, radius R, and length h. As the can tips, let x be the height of the center above its equilibrium position (h/2). The potential enemy is mgx, and it topples when x reaches the critical value Calculate the tunneling probability (Equation 8.22), for E = 0. Use Equation 8.28, with the thermal energy to estimate the velocity. Put in reasonable numbers, and give your final answer in years.17

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Solutions For Problems in Chapter 8