In the situation shown in figure T2.5c, the width of the bell curve at half its peak value is $0.021 U$. If we multiply $N_{A}$, $N_{B}$, and $U$ by a factor of 100 , then the peak's width (as you can check) is about $0.0021 U$. Suppose that we increase each solid's $N$ and the system's total energy by another factor of $10^{18}$ to create solids containing $1 / 6$ of a mole of atoms (still pretty small objects by everyday standards). Assuming that the trend continues, what will be the approximate width of the combined system's probability bell curve as a fraction of $U$ ?

A) $2 \times 10^{-20}$ (c) 0.0
B) $2 \times 10^{-22}$ Figure T2.5
C) $2 \times 10^{-10}$
D) $\mathbf{2} \times \mathbf{1 0}^{-12}$
E) $2 \times 10^{-40}$
F) $2 \times 10^{-42}$ $\mathrm{T}$. Some other factor (specify).

Question

In the situation shown in figure T2.5c, the width of the bell curve at half its peak value is $0.021 U$. If we multiply $N_{A}$, $N_{B}$, and $U$ by a factor of 100 , then the peak's width (as you can check) is about $0.0021 U$. Suppose that we increase each solid's $N$ and the system's total energy by another factor of $10^{18}$ to create solids containing $1 / 6$ of a mole of atoms (still pretty small objects by everyday standards). Assuming that the trend continues, what will be the approximate width of the combined system's probability bell curve as a fraction of $U$ ?

A) $2 \times 10^{-20}$ (c) 0.0 
B) $2 \times 10^{-22}$ Figure T2.5 
C) $2 \times 10^{-10}$ 
D) $\mathbf{2} \times \mathbf{1 0}^{-12}$ 
E) $2 \times 10^{-40}$ 
F) $2 \times 10^{-42}$ $\mathrm{T}$. Some other factor (specify).

Quizplus · Accepted Answer

The Answer of In the situation shown in figure T2.5c, the width of the bell curve at half its peak value is $0.021 U$. If we multiply $N_{A}$, $N_{B}$, and $U$ by a factor of 100 , then the peak's width (as you can check) is about $0.0021 U$. Suppose that we increase each solid's $N$ and the system's total energy by another factor of $10^{18}$ to create solids containing $1 / 6$ of a mole of atoms (still pretty small objects by everyday standards). Assuming that the trend continues, what will be the approximate width of the combined system's probability bell curve as a fraction of $U$ ?

A) $2 \times 10^{-20}$ (c) 0.0 
B) $2 \times 10^{-22}$ Figure T2.5 
C) $2 \times 10^{-10}$ 
D) $\mathbf{2} \times \mathbf{1 0}^{-12}$ 
E) $2 \times 10^{-40}$ 
F) $2 \times 10^{-42}$ $\mathrm{T}$. Some other factor (specify).

In the Situation Shown in Figure T2 0.021U0.021 U0.021U If We Multiply

In the Situation Shown in Figure T2 $0.021 U$ If We Multiply