Option 3 : \(\frac{{3h}}{{2\pi }}\)  India's Super Teachers for all govt. exams Under One Roof
CONCEPT:
The angular momentum (L) of electron in nth orbit is given by: \(L = m\;{v_n}{r_n} = \frac{{nh}}{{2\;\pi }}\) Where m is mass of an electron, vn is velocity in nth orbit, rn is radius of nth orbit, n is principle quantum number and h is Planck constant. CALCULATION: Here electron jumps from n = 4 level to n = 1 level \(Initial\;angular\;momentum\;\left( L \right) = \frac{{nh}}{{2\;\pi }} = \frac{{4\;h}}{{2\;\pi }} = \frac{{2\;h}}{{\;\pi }}\) \(Final\;angular\;momentum\;\left( {L'} \right) = \frac{{nh}}{{2\;\pi }} = \frac{{1 \times \;h}}{{2\;\pi }} = \frac{{\;h}}{{2\;\pi }}\) \(Change\;in\;angular\;momentum = \left( {L - L'} \right) = \frac{{2\;h}}{{\;\pi }} - \frac{{\;h}}{{2\;\pi }} = \frac{{4\;h - h}}{{2\;\pi }} = \frac{{3h}}{{2\pi }}\)India’s #1 Learning Platform Start Complete Exam Preparation
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When an electron jumps from n = 4 to n=1
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