Question

1) In an atom the two electrons move around the nucleus in circular orbits of radii R and 2R. The ratio of their squar of time periods is (1) 1:4 27 1:8 (3) 4:1 (4) 8:11

JEE/Engineering Exams

Physics

Solution

107

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Accoding to keplas's law: ( T^{2} alpha R^{3} ) ( therefore frac{T_{1}^{2}}{T_{2}^{2}}=frac{R_{1}^{3}}{R_{2}^{3}} ) a) ( frac{T_{1}^{2}}{T_{2}^{2}}=frac{(R)^{3}}{(2 R)^{3}}=frac{R^{3}}{8 beta^{8}}=frac{1}{8} ) ( therefore quad A m=(2) 1: 8 )