The electron in a hydrogen atom makes transition from M to L shell , find ratio of magnitude of initial is to final acceleration ?

Dear Student,

v α 1n and r α n2and a α  v2ror a α (1n)2n2or a α 1n4Therefore, ratio of acceleration i.e. a1a2=n24n14Here, n1=M shell=3n2=L shell=2Therefore, a1a2=2434=1681=49Hence, the answer is 4:9

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