JEE Advanced levelNumerical answerDifficulty 3 of 3as044
In the second Bohr orbit of HeX+, find the time for one revolution of the electron in units of 10−16s, to two decimals. Use rn=0.529×10−10n2/Zm and v=2.18×106Z/nms−1.
Numerical answer type, answer in x 10^-16 s, tolerance 0.03.
Answer: 3.05 x 10^-16 s
Z = 2, n = 2: r = 0.529e-10 x 4/2 = 1.0580e-10 m and v = 2.18e6 x 2/2 = 2.180e+06 m/s. T = 2 pi r/v = 3.0494e-16 s = 3.05 x 10−16 s.