If an electron of an atom goes from $n = 1$ to $n = 3$ then its time period become _______ times of the initial value.

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Solution

The correct option is B $27$
We know that, time period,

$T \propto \frac{n^{3}}{Z^{2}}$

So,

$T_{n = 1} \propto \frac{1}{Z^{2}}$

$T_{n = 3} \propto \frac{27}{Z^{2}}$

Therefore, the time period becomes $27$ times of the initial value.

Hence, option $(B)$ is the correct answer.

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If an electron of an atom goes from n=1 to n=3 then its time period become _______ times of the initial value.

The correct option is B 27We know that, time period, T∝n3Z2 So, Tn=1∝1Z2 Tn=3∝27Z2 Therefore, the time period becomes 27 times of the initial value. Hence, option (B) is the correct answer.

If an electron of an atom goes from $n = 1$ to $n = 3$ then its time period become _______ times of the initial value.

The correct option is B $27$
We know that, time period,

$T \propto \frac{n^{3}}{Z^{2}}$

So,

$T_{n = 1} \propto \frac{1}{Z^{2}}$

$T_{n = 3} \propto \frac{27}{Z^{2}}$

Therefore, the time period becomes $27$ times of the initial value.

Hence, option $(B)$ is the correct answer.