波长为200 nm的紫外光的能量是多少eV ? 用波长为200nm的紫外线照射钨的表面,释放出来的光电子中最...

\u6ce2\u957f\u4e3a200 nm\u7684\u7d2b\u5916\u5149\u7684\u80fd\u91cf\u662f\u591a\u5c11eV ?

200nm\u7684\u5149\u5b50\u80fd\u91cf\u662f6.2eV
\u5355\u4f4d\uff1a
E(\u80fd\u91cf)\u2014eV (\u7535\u5b50\u4f0f\u7279)
h(\u666e\u6717\u514b\u5e38\u6570) \u20146.63\u00d710^-34J•s(\u7126\u8033•\u79d2)
k(\u5e38\u6570)\u20141.6\u00d710^-19J/eV
C(\u5149\u901f)\u2014 3\u00d710^17nm/s
\u03bb(\u6ce2\u957f)\u2014nm\u516c\u5f0f\uff1a
E(\u80fd\u91cf)=h(\u666e\u6717\u514b\u5e38\u6570) \u00d7H(\u9891\u7387)
\u666e\u6717\u514b\u5e38\u6570\u7684\u5355\u4f4d\u7126\u8033\u8981\u6362\u7b97\u6210\u7535\u5b50\u4f0f\u7279\u4e0a\u5f0f\u8f6c\u6362\u4e3a\uff1aE= h/k \u00d7 C/\u03bb
E = [6.63\u00d710^-34J•s] /[1.6\u00d710^-19J/eV]\u00d7 [3\u00d710^17nm/s ]/\u03bb
E=1240/\u03bb
\u6240\u4ee5200nm\u7684\u5149\u5b50\u80fd\u91cf\u662f6.2eV

\u6269\u5c55\u8d44\u6599\uff1a

E=hv\uff0c\u5176\u4e2d\uff0ch\u4e3a\u666e\u6717\u514b\u5e38\u91cf\uff0cv\u4e3a\u5149\u7684\u9891\u7387\u3002\u666e\u6717\u514b\u5e38\u6570\u7684\u503c\u7ea6\u4e3a\uff1ah=6.6260693(11)\u00d710^\uff08-34\uff09 J\u00b7s\u3000\uff0c\u5355\u4f4d\u4e3a\u7126\uff08J\uff09\u00b7\u79d2\uff08s\uff09\u3002
\u65e9\u57281900\u5e74\uff0cM.\u666e\u6717\u514b\u89e3\u91ca\u9ed1\u4f53\u8f90\u5c04\u80fd\u91cf\u5206\u5e03\u65f6\u4f5c\u51fa\u91cf\u5b50\u5047\u8bbe\uff0c\u7269\u8d28\u632f\u5b50\u4e0e\u8f90\u5c04\u4e4b\u95f4\u7684\u80fd\u91cf\u4ea4\u6362\u662f\u4e0d\u8fde\u7eed\u7684\uff0c\u4e00\u4efd\u4e00\u4efd\u7684\uff0c\u6bcf\u4e00\u4efd\u7684\u80fd\u91cf\u4e3ah\u03bd\uff1b1905\u5e74\u963f\u5c14\u4f2f\u7279\u00b7\u7231\u56e0\u65af\u5766\u8fdb\u4e00\u6b65\u63d0\u51fa\u5149\u6ce2\u672c\u8eab\u5c31\u4e0d\u662f\u8fde\u7eed\u7684\u800c\u5177\u6709\u7c92\u5b50\u6027\uff0c\u7231\u56e0\u65af\u5766\u79f0\u4e4b\u4e3a\u5149\u91cf\u5b50\uff1b
1923\u5e74A.H.\u5eb7\u666e\u987f\u6210\u529f\u5730\u7528\u5149\u91cf\u5b50\u6982\u5ff5\u89e3\u91ca\u4e86X\u5149\u88ab\u7269\u8d28\u6563\u5c04\u65f6\u6ce2\u957f\u53d8\u5316\u7684\u5eb7\u666e\u987f\u6548\u5e94\uff0c\u4ece\u800c\u5149\u91cf\u5b50\u6982\u5ff5\u88ab\u5e7f\u6cdb\u63a5\u53d7\u548c\u5e94\u7528\uff0c1926\u5e74\u6b63\u5f0f\u547d\u540d\u4e3a\u5149\u5b50\u3002
\u5149\u5b50\u662f\u7531\u540c\u6837\u5927\u5c0f\u7684\u6b63\u7535\u7c92\u5b50\u548c\u8d1f\u7535\u7c92\u5b50\u6240\u7ec4\u6210\uff0c\u6b63\u7535\u7c92\u5b50\u4e2d\u5fc3\u4e0e\u8d1f\u7535\u7c92\u5b50\u4e2d\u5fc3\u7684\u8ddd\u79bb\u4e3a\u5149\u5b50\u7684\u534a\u5f84\uff0c\u6b63\u7535\u7c92\u5b50\u7684\u76f4\u5f84\u7b49\u4e8e\u8d1f\u7535\u7c92\u5b50\u7684\u76f4\u5f84\u7b49\u4e8e\u5149\u5b50\u7684\u534a\u5f84\uff0c\u6b63\u7535\u7c92\u5b50\u7684\u8d28\u91cf\u7b49\u4e8e\u8d1f\u7535\u7c92\u5b50\u7684\u8d28\u91cf\u3002
\u5149\u5b50\u662f\u4ee5\u5149\u901f\u8fd0\u52a8\u7684\u65cb\u8f6c\u7684\u7535\u5076\u6781\u5b50\uff0c\u65cb\u8f6c\u8f74\u7684\u65b9\u5411\u4e0e\u5149\u7684\u8fd0\u52a8\u65b9\u5411\u5782\u76f4\uff0c\u5149\u5b50\u662f\u5728\u7535\u5b50\u8fd0\u52a8\u7684\u5411\u5fc3\u529b\u6700\u5927\u7684\u5730\u65b9\u53d1\u5c04\u7684\uff0c\u5373\u53d1\u5c04\u7684\u65b9\u5411\u3001\u53d7\u529b\u7684\u65b9\u5411\u548c\u65cb\u8f6c\u8f74\u7684\u65b9\u5411\u76f8\u4e92\u5782\u76f4\u3002
\u4e2d\u5b50\u7684\u8d28\u91cf\uff1a1.674927211\uff0884\uff09\u00d710^-27\u5343\u514b\uff1b\u4e2d\u5b50\u7684\u534a\u5f84\uff1a1.11337557\uff0848\uff09\u8d39\u7c73\uff1b
\u8d28\u5b50\u7684\u8d28\u91cf\uff1a1.672621637\uff0883\uff09\u00d710^-27\u5343\u514b\uff1b\u8d28\u5b50\u7684\u534a\u5f84\uff1a1.11286448\uff0848\uff09\u8d39\u7c73\uff1b
\u7535\u5b50\u7684\u8d28\u91cf\uff1a9.10938215\uff0845\uff09\u00d710^-31\u5343\u514b\uff1b\u7535\u5b50\u7684\u534a\u5f84\uff1a0.090880914\uff0840\uff09\u8d39\u7c73\uff1b
\u5149\u5b50\u7684\u8d28\u91cf\uff1a9.347543\uff0838\uff09\u00d710^-36 \u5343\u514b\uff1b\u5149\u5b50\u7684\u534a\u5f84\uff1a0.0 031349374\uff0829\uff09\u8d39\u7c73\u3002
\u5149\u5b50\u7684\u80fd\u91cf\uff1a4.200577\uff0817\uff09\u00d710^-19\u7126\u8033\uff0c2.621794\uff0811\uff09\u7535\u5b50\u4f0f\u7279\uff0c\u9891\u7387\uff1a6.339470\uff0826\uff09\u00d710^14 \u8d6b\u5179\uff0c\u6ce2\u957f\uff1a472.8983\uff0820\uff09\u7eb3\u7c73\uff0c\u6b63\u597d\u4f4d\u4e8e\u9752\u84dd\u8272\u7684\u5149\u7684\u6ce2\u957f\u7684\u4e2d\u5fc3\u4f4d\u7f6e473.5\u7eb3\u7c73\u9644\u8fd1\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u5149\u5b50\u80fd\u91cf

\u8bbe\u94a8\u7684\u9038\u51fa\u529f\u4e3aW 0 \uff0c\u5219\u6839\u636e\u5149\u7535\u6548\u5e94\u65b9\u7a0b\u6709\uff1aE k1 =hv 1 -W 0 \u2460E k2 =hv 2 -W 0 \u2461\u6ce2\u957f\u3001\u9891\u7387\u3001\u5149\u901f\u4e4b\u95f4\u7684\u5173\u7cfb\u4e3a\uff1a v= c \u03bb \u2462\u8054\u7acb\u2460\u2461\u2462\u89e3\u5f97\uff1aE k2 =5.01ev\uff0e\u91ca\u653e\u51fa\u6765\u7684\u5149\u7535\u5b50\u7684\u6700\u5927\u52a8\u80fd\u662f\uff1aE k2 =5.01ev\uff0e

根据

E= h/k × C/λ

E = [6.63×10^-34J•s] /[1.6×10^-19J/eV]× [3×10^17nm/s ]/λ

E=1240/λ

三个公式可得200nm的光子能量是6.2eV.



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