In an atom, two electrons move around nucleus in circular orbits of radii R and 4R. ratio of time ta

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12.Atoms

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In an atom, two electrons move around the nucleus in circular orbits of radii $R$ and $4R.$ The ratio of the time taken by them to complete one revolution is : (neglect electric interaction)

A

$1 : 4$

B

$4 : 1$

C

$1 : 8$

D

$8 : 1$

Solution

We know,

$T \propto r^{3 / 2}$

$\frac{T_{1}}{T_{2}}=\left(\frac{r_{1}}{r_{2}}\right)^{\frac{3}{2}}=\left(\frac{R}{4 R}\right)^{\frac{3}{2}}=\frac{1}{8}$

Standard 12

Physics

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