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Validating the Bohr's Model

An electron i...

Question

An electron in a hydrogen atom makes an transition from $n = n_{1}$ to $n = n_{2}$ . The time period of the electron in the initial state is eight times that in the final state. The possible values of $n_{1}$ and $n_{2}$ are

n_{1} = 4, n_{2} = 2

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n_{1} = 8, n_{2} = 2

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n_{1} = 8, n_{2} = 1

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n_{1} = 6, n_{2} = 2

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Solution

The correct option is A $n_{1} = 4, n_{2} = 2$
According to Bohr's model for single-electron species,
$T α n^{3}$
Given: $T_{1} = 8 T_{2}$
$(n_{1})^{3} = 8 (n_{2})^{3}$
or $n_{1} = 2 n_{2}$
Out of the given options, option A is the correct.

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An electron in a hydrogen atom makes an transition from n=n1 to n=n2. The time period of the electron in the initial state is eight times that in the final state. The possible values of n1 and n2 are

The correct option is A n1=4,n2=2According to Bohr's model for single-electron species,Tαn3Given: T1=8T2(n1)3=8(n2)3or n1=2n2Out of the given options, option A is the correct.

An electron in a hydrogen atom makes an transition from $n = n_{1}$ to $n = n_{2}$ . The time period of the electron in the initial state is eight times that in the final state. The possible values of $n_{1}$ and $n_{2}$ are

The correct option is A $n_{1} = 4, n_{2} = 2$
According to Bohr's model for single-electron species,
$T α n^{3}$
Given: $T_{1} = 8 T_{2}$
$(n_{1})^{3} = 8 (n_{2})^{3}$
or $n_{1} = 2 n_{2}$
Out of the given options, option A is the correct.