Atoms & Nuclei

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68 of 239

Question 68 of 239

According to Bohr atom model, in which of the following transitions will the frequency be maximum?

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Answer: (D) n=2n=2 to n=1n=1

ΔE=13.6[1n12−1n22]=hv\Delta E=13.6\left[\dfrac{1}{{n}_{1}^{2}}-\dfrac{1}{{n}_{2}^{2}}\right]=hv
It is maximum if
n1=1{n}_{1}=1 and n2=2{n}_{2}=2
n=5………………………………..−0.544eVn=5\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots ..-0.544eV
n=4....................................................−0.850eVn=4....................................................-0.850eV
n=3…………………………………..−1.511eVn=3\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots ..-1.511eV
n=2…………………………………−3.4eVn=2\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots -3.4eV
n=1………………………………….−13.6eVn=1\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots .-13.6eV

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