MODEL, \[\frac{1}{\lambda }=\frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}C}\left( \frac{1}{{{N}_{1}}^{2}}-\frac{1}{{{n}_{2}}^{2}} \right)\] Where \[\lambda \]=wavelength, \[{{n}_{1}}\]and \[{{n}_{2}}\]are principal quantum NUMBERS. \[\therefore \left[ \frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}c} \right]=[{{L}^{-1}}]=[{{M}^{0}}{{L}^{-1}}{{T}^{0}}]\]

"> MODEL, \[\frac{1}{\lambda }=\frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}C}\left( \frac{1}{{{N}_{1}}^{2}}-\frac{1}{{{n}_{2}}^{2}} \right)\] Where \[\lambda \]=wavelength, \[{{n}_{1}}\]and \[{{n}_{2}}\]are principal quantum NUMBERS. \[\therefore \left[ \frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}c} \right]=[{{L}^{-1}}]=[{{M}^{0}}{{L}^{-1}}{{T}^{0}}]\]

">
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If \[m,\text{ }e,\,\,{{\varepsilon }_{0}},\] h and c denote mass electron, charge of electron. Planck's constant and speed of light, respectively. The dimensions of \[\frac{me_{{}}^{4}}{\varepsilon _{0}^{2}h_{{}}^{3}c}\] are

Joint Entrance Exam - Main (JEE Main) Physics in Joint Entrance Exam - Main (JEE Main) . 9 months ago

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[d] In Bohr's MODEL, \[\frac{1}{\lambda }=\frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}C}\left( \frac{1}{{{N}_{1}}^{2}}-\frac{1}{{{n}_{2}}^{2}} \right)\] Where \[\lambda \]=wavelength, \[{{n}_{1}}\]and \[{{n}_{2}}\]are principal quantum NUMBERS. \[\therefore \left[ \frac{m{{e}^{4}}}{{{\varepsilon }_{0}}^{2}{{h}^{3}}c} \right]=[{{L}^{-1}}]=[{{M}^{0}}{{L}^{-1}}{{T}^{0}}]\]

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Posted on 15 Aug 2024, this text provides information on Joint Entrance Exam - Main (JEE Main) related to Physics in Joint Entrance Exam - Main (JEE Main). Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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