{"id":180,"date":"2026-06-15T01:48:24","date_gmt":"2026-06-14T22:18:24","guid":{"rendered":"https:\/\/sciencio.ir\/?p=180"},"modified":"2026-06-15T01:48:24","modified_gmt":"2026-06-14T22:18:24","slug":"12-%d8%a7%d9%86%d9%82%d8%a8%d8%a7%d8%b6-%d8%b7%d9%88%d9%84","status":"publish","type":"post","link":"https:\/\/sciencio.ir\/?p=180","title":{"rendered":"12 \u0627\u0646\u0642\u0628\u0627\u0636 \u0637\u0648\u0644"},"content":{"rendered":"

\u0627\u0646\u0642\u0628\u0627\u0636 \u0637\u0648\u0644\u060c \u06a9\u0648\u0686\u06a9 \u0634\u062f\u0646 \u0637\u0648\u0644 \u0627\u062c\u0633\u0627\u0645 \u062f\u0631 \u062c\u0647\u062a \u062d\u0631\u06a9\u062a \u0628\u0631\u0627\u06cc \u0646\u0627\u0638\u0631\u0647\u0627\u06cc \u0645\u062a\u062d\u0631\u06a9\u060c \u0646\u0633\u0628\u062a \u0628\u0647 \u0646\u0627\u0638\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0622\u0646 \u062c\u0633\u0645 \u062e\u0627\u0635 \u0631\u0627 \u0633\u0627\u06a9\u0646 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u06a9\u0646\u062f. \u0646\u0627\u0638\u0631 $S$ \u0648 $S’$ \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u0645\u06cc\u0644\u0647 \u0627\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 $S$ \u0633\u0627\u06a9\u0646 \u0648 \u0646\u0633\u0628\u062a \u0628\u0647 $S’$ \u0645\u062a\u062d\u0631\u06a9 \u0627\u0633\u062a. \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0637\u0648\u0644 \u0645\u06cc\u0644\u0647 \u062f\u0631 $S’$ \u0648 $S$ \u0631\u0627 \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0646\u06cc\u0645. \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0645\u06cc\u0644\u0647 \u062f\u0631 \u0646\u0627\u0638\u0631 \u0645\u062a\u062d\u0631\u06a9\u060c \u0634\u0631\u0637 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0645\u062d\u0644 \u0645\u06a9\u0627\u0646\u06cc \u062f\u0648 \u0633\u0631 \u0627\u06cc\u0646 \u0645\u06cc\u0644\u0647 \u0647\u0645\u0632\u0645\u0627\u0646 \u0635\u0648\u0631\u062a \u06af\u06cc\u0631\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 $\\Delta t’=0$ \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0627\u0632 \u062a\u0628\u062f\u06cc\u0644 \u0644\u0648\u0631\u0646\u062a\u0633 \u062f\u0627\u0631\u06cc\u0645:<\/p>\n

$\\begin{equation}\u00a0 \\Delta x=\\gamma \\Delta x’ \\tag{12.1} \\label{eq:12.1} \\end{equation}$<\/p>\n

\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 $\\Delta x$ \u0637\u0648\u0644 \u062f\u0631 \u0646\u0627\u0638\u0631 \u0633\u0627\u06a9\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0622\u0646 \u0631\u0627 $L_0$ (\u0637\u0648\u0644 \u0647\u0645\u0631\u0627\u0647 \u06cc\u0627 \u0648\u06cc\u0698\u0647) \u0648 $\\Delta x’$ \u0637\u0648\u0644 \u062f\u0631 \u0646\u0627\u0638\u0631 \u0645\u062a\u062d\u0631\u06a9 \u06a9\u0647 \u0622\u0646 \u0631\u0627 $L$ \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 ($\\ref{eq:12.1}$) \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0645\u0628\u062f\u0644 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

$\\begin{equation}\u00a0 L=\\frac{1}{\\gamma} L_0 \\tag{12.2} \\label{eq:12.2} \\end{equation}$<\/p>\n

 <\/p>\n\n\n\n\n\n
\n
**\u0645\u062b\u0627\u0644 12-1<\/span><\/h5>\n<\/td>\n<\/tr>\n
\n

\u0645\u06cc\u0648\u0646 \u0647\u0627 \u0630\u0631\u0627\u062a \u0646\u0627\u067e\u0627\u06cc\u062f\u0627\u0631\u06cc \u0627\u0646\u062f \u06a9\u0647 \u0627\u0632 \u062f\u0631 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0641\u0648\u0642\u0627\u0646\u06cc \u062c\u0648 (\u062d\u062f\u0648\u062f $10$ \u06a9\u06cc\u0644\u0648\u0645\u062a\u0631 \u0628\u0627\u0644\u0627\u062a\u0631 \u0627\u0632 \u0633\u0637\u062d \u0632\u0645\u06cc\u0646) \u062f\u0631 \u0627\u062b\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u067e\u0631\u062a\u0648\u0647\u0627\u06cc \u06a9\u06cc\u0647\u0627\u0646\u06cc \u0628\u0627 \u0645\u0648\u0644\u06a9\u0648\u0644 \u0647\u0627\u06cc \u062d\u0627\u0636\u0631 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u0634\u0648\u0646\u062f. \u0646\u06cc\u0645 \u0639\u0645\u0631 \u0645\u06cc\u0648\u0646 $\\tau = 2.2 \\: \\mu s$ \u0627\u0633\u062a \u0648 \u0627\u06cc\u0646 \u0630\u0631\u0627\u062a \u0633\u0631\u0639\u062a\u06cc \u062f\u0631 \u062d\u062f\u0648\u062f $v=0.998c$ \u062f\u0627\u0631\u0646\u062f. \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0630\u0631\u0627\u062a \u062a\u0648\u0633\u0637 \u0622\u0634\u06a9\u0627\u0631\u0633\u0627\u0632\u0647\u0627\u06cc \u0633\u0637\u062d \u0632\u0645\u06cc\u0646 \u0631\u0648\u06cc\u062a \u0645\u06cc \u0634\u0648\u0646\u062f. \u062f\u0631 \u0641\u0635\u0644 11<\/a>\u060c \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u06cc\u0645 \u06a9\u0647 \u0627\u0632 \u062f\u06cc\u062f \u0646\u0627\u0638\u0631 \u0632\u0645\u06cc\u0646\u06cc \u0627\u062a\u0633\u0627\u0639 \u0632\u0645\u0627\u0646 \u0631\u0633\u06cc\u062f\u0646 \u0645\u06cc\u0648\u0646 \u0647\u0627 \u0631\u0627 \u062a\u0648\u062c\u06cc\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0627\u0632 \u062f\u06cc\u062f \u0646\u0627\u0638\u0631 \u0647\u0645\u0631\u0627\u0647 \u0645\u06cc\u0648\u0646 \u0686\u0647 \u0627\u062a\u0641\u0627\u0642\u06cc \u0645\u06cc \u0627\u0641\u062a\u062f\u061f<\/p>\n<\/td>\n<\/tr>\n

\n
\u067e\u0627\u0633\u062e<\/h5>\n

\u0628\u0631\u0627\u06cc \u0646\u0627\u0638\u0631 \u0647\u0645\u0631\u0627\u0647 \u0645\u06cc\u0648\u0646\u060c \u0627\u0646\u0642\u0628\u0627\u0636 \u0637\u0648\u0644 \u0631\u062e \u0645\u06cc \u062f\u0647\u062f. \u0637\u0648\u0644 \u0641\u0627\u0635\u0644\u0647 \u0627\u06cc \u06a9\u0647 \u0645\u06cc\u0648\u0646 \u0627\u0632 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0641\u0648\u0642\u0627\u0646\u06cc \u062c\u0648 \u062a\u0627 \u0633\u0637\u062d \u0632\u0645\u06cc\u0646 \u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u06cc \u06af\u06cc\u0631\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0645\u0637\u0627\u0628\u0642 ($\\ref{eq:12.2}$) \u0645\u0646\u0642\u0628\u0636 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

$\\begin{equation}\u00a0 d=\\displaystyle{\\sqrt{1-0.998^2}} (10000 \\: m) = 632 \\: m\u00a0\\tag{12.3} \\label{eq:12.3} \\end{equation}$<\/p>\n

\u062d\u0627\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0632\u0645\u0627\u0646 \u0637\u06cc \u0627\u06cc\u0646 \u0645\u0633\u0627\u0641\u062a \u0631\u0627 \u0628\u0627 \u062a\u0642\u0633\u06cc\u0645 \u0637\u0648\u0644 \u0628\u0631 \u0633\u0631\u0639\u062a \u0645\u06cc\u0648\u0646 \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u062f (\u062f\u0642\u062a \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0633\u0631\u0639\u062a \u0646\u0633\u0628\u06cc \u0627\u0633\u062a \u0648 \u0627\u06cc\u0646\u062c\u0627 \u0633\u0631\u0639\u062a \u0646\u0632\u062f\u06cc\u06a9\u06cc \u0632\u0645\u06cc\u0646 \u0628\u0647 \u0645\u06cc\u0648\u0646 \u0631\u0627 \u062f\u0627\u0631\u06cc\u0645. \u0632\u06cc\u0631\u0627 \u06a9\u0647 \u062f\u0631 \u0646\u0627\u0638\u0631 \u0647\u0645\u0631\u0627\u0647 \u0645\u06cc\u0648\u0646 \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0627\u06cc\u0645):<\/p>\n

$\\begin{equation}\u00a0 t=\\displaystyle{\\frac{d}{v}}=\\displaystyle{\\frac{(632 \\: m)}{(0.998 \\times 3 \\times 10^8 \\: m\/s)}}=2.1 \\: \\mu s \\tag{12.4} \\label{eq:12.4} \\end{equation}$<\/p>\n

\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631\u06cc \u0642\u0627\u0628\u0644 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0646\u06cc\u0645 \u0639\u0645\u0631 \u0645\u06cc\u0648\u0646 \u0627\u0633\u062a\u061b \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u0639\u062f\u0627\u062f \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0627\u0632 \u0645\u06cc\u0648\u0646 \u0647\u0627 \u0641\u0631\u0635\u062a \u06a9\u0627\u0641\u06cc \u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u0633\u0637\u062d \u0632\u0645\u06cc\u0646 \u0631\u0627 \u062f\u0627\u0631\u0627 \u0645\u06cc \u0628\u0627\u0634\u0646\u062f.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

1-12 \u0627\u0631\u062a\u0628\u0627\u0637 \u0627\u062a\u0633\u0627\u0639 \u0632\u0645\u0627\u0646 \u0648 \u0627\u0646\u0642\u0628\u0627\u0636 \u0637\u0648\u0644<\/h3>\n

\u0627\u0646\u0642\u0628\u0627\u0636 \u0637\u0648\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u0632 \u0627\u062a\u0633\u0627\u0639 \u0632\u0645\u0627\u0646 \u0646\u06cc\u0632 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0634\u0648\u062f. \u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u0646\u0627\u0638\u0631 $S$\u060c \u062f\u0631 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0642\u0637\u0627\u0631 \u0646\u0634\u0633\u062a\u0647 \u0648 \u0646\u0627\u0638\u0631 $S’$ \u062f\u0627\u062e\u0644 \u0642\u0637\u0627\u0631\u06cc \u0646\u0634\u0633\u062a\u0647 \u06a9\u0647 \u0628\u0627 \u0633\u0631\u0639\u062a $v$ \u0646\u0633\u0628\u062a \u0628\u0647 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062d\u0631\u06a9\u062a \u0645\u06cc \u06a9\u0646\u062f. \u0647\u0631\u062f\u0648 \u0645\u06cc \u062e\u0648\u0627\u0647\u0646\u062f \u0637\u0648\u0644 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0631\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u06a9\u0646\u0646\u062f. \u062f\u0648 \u0631\u0648\u06cc\u062f\u0627\u062f\u06cc \u06a9\u0647 \u0641\u0627\u0635\u0644\u0647 \u0622\u0646 \u062f\u0648 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0637\u0648\u0644 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062b\u0628\u062a \u0645\u06cc \u0634\u0648\u062f\u061b \u062f\u0631 \u0648\u0627\u0642\u0639 \u0631\u0633\u06cc\u062f\u0646 \u0646\u0627\u0638\u0631 $S’$ \u0628\u0647 \u0627\u0628\u062a\u062f\u0627\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0648 \u0628\u0647 \u0627\u0646\u062a\u0647\u0627\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0627\u0633\u062a. \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0646\u0633\u0628\u062a \u0628\u0647 $S$ \u0633\u0627\u06a9\u0646 \u0627\u0633\u062a\u061b \u0627\u0648 \u062f\u0631 \u062d\u0627\u0644 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0637\u0648\u0644 \u0647\u0645\u0631\u0627\u0647 \u06cc\u0627 \u0648\u06cc\u0698\u0647 \u0627\u0633\u062a:<\/p>\n

$\\begin{equation}\u00a0 L_0 =v \\Delta t \\tag{12.5} \\label{eq:12.5} \\end{equation}$<\/p>\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0627\u06cc\u0646 \u062f\u0648 \u0631\u0648\u06cc\u062f\u0627\u062f \u0628\u0631\u0627\u06cc \u0646\u0627\u0638\u0631 $S’$ \u0647\u0645 \u0645\u06a9\u0627\u0646 \u0627\u0633\u062a (\u062f\u0631 \u0648\u0627\u0642\u0639 \u0627\u0632 \u062f\u06cc\u062f \u0627\u0648\u060c \u0627\u06cc\u0646 \u0627\u0628\u062a\u062f\u0627 \u0648 \u0627\u0646\u062a\u0647\u0627\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0641\u0631\u0627\u0645\u06cc \u0631\u0633\u0646\u062f \u0648 \u0627\u0648 \u062f\u0631 \u0635\u0646\u062f\u0644\u06cc \u062e\u0648\u062f\u060c \u0633\u0627\u06a9\u0646 \u0646\u0634\u0633\u062a\u0647 \u0627\u0633\u062a). \u0646\u0627\u0638\u0631 $S’$ \u0632\u0645\u0627\u0646 \u0647\u0645\u0631\u0627\u0647 \u06cc\u0627 \u0648\u06cc\u0698\u0647 \u0631\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u06cc \u06af\u06cc\u0631\u062f $\\Delta t’ = \\Delta \\tau$. \u0637\u0648\u0644 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0627\u0648 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n

$\\begin{equation}\u00a0 L =v \\Delta \\tau \\tag{12.6} \\label{eq:12.6} \\end{equation}$<\/p>\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u062a\u0633\u0627\u0639 \u0632\u0645\u0627\u0646 \u062f\u0627\u0631\u06cc\u0645 $\\Delta t = \\gamma \\Delta \\tau$. \u0628\u0627 \u062a\u0642\u0633\u06cc\u0645 ($\\ref{eq:12.6}$) \u0628\u0631 ($\\ref{eq:12.5}$) \u0646\u062a\u06cc\u062c\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

$\\begin{equation} \\frac{L}{L_0}=\\frac{v\\Delta \\tau}{v\\Delta t}=\\frac{1}{\\gamma} \\tag{12.7} \\label{eq:12.7} \\end{equation}$<\/p>\n

\u06a9\u0647 \u062d\u0627\u0635\u0644 \u0645\u0639\u0627\u062f\u0644 ($\\ref{eq:12.2}$) \u0627\u0633\u062a.<\/p>\n\n\n\n\n
\n

\u062a\u0645\u0631\u06cc\u0646\u0627\u062a<\/h3>\n<\/td>\n<\/tr>\n

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