NEET Sample Paper NEET Sample Test Paper-54

  • question_answer
    The radius of second orbit of an electron in hydrogen atom is\[2.116\text{ }\overset{{}^\circ }{\mathop{A}}\,\]. The de Broglie wavelength associated with this electron in this orbit would be-

    A) \[6.64\text{ }\overset{{}^\circ }{\mathop{A}}\,\]                       

    B) \[1.058\text{ }\overset{{}^\circ }{\mathop{A}}\,\]

    C) \[2.116\text{ }\overset{{}^\circ }{\mathop{A}}\,\]                      

    D) \[13.28\text{ }\overset{{}^\circ }{\mathop{A}}\,\]

    Correct Answer: A

    Solution :

    \[2\pi r\,\,=\,\,n\lambda \] \[n=2\,\,\Rightarrow \,\,2\pi r=2\lambda \] \[\Rightarrow \,\,\lambda =\pi r\] \[\lambda =3.14\times 2.116\,\overset{{}^\circ }{\mathop{A}}\,\] \[\lambda \approx 6.64\,\overset{{}^\circ }{\mathop{A}}\,\]


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