In Bohr's atomic model, speed and time period of revolution of an electron in n=3 level are respectively

Question

In Bohr's atomic model, speed and time period of revolution of an electron in n=3 level are respectively (A) v=1.09 × 106 ms -1, T=1.52 × 10-16 s (B) v=2.19 × 106 ms -1, T=1.52 × 10-16 s (C) v=7.29 × 106 ms -1, T=1.22 × 10-16 s (D) v=7.29 × 105 ms -1, T=4.10 × 10-15 s

Tardigrade Admin · Accepted Answer

Using, vn=(1/137) (c/n), we get v3=(1/137) × (3 × 108/3) =7.29 × 105 ms -1 Also, Tn=(2 π r/v) ∴ T3=(2 π r3/v3)=(2 π(32 × 0.53 × 10-10)/7.29 × 105) =4.10 × 10-15 s

Q. In Bohr's atomic model, speed and time period of revolution of an electron in $n = 3$ level are respectively

$v = 1.09 \times 1 0^{6} m s^{- 1}, T = 1.52 \times 1 0^{- 16} s$

$v = 2.19 \times 1 0^{6} m s^{- 1}, T = 1.52 \times 1 0^{- 16} s$

$v = 7.29 \times 1 0^{6} m s^{- 1}, T = 1.22 \times 1 0^{- 16} s$

$v = 7.29 \times 1 0^{5} m s^{- 1}, T = 4.10 \times 1 0^{- 15} s$

Q. In Bohr's atomic model, speed and time period of revolution of an electron in n=3 level are respectively

v=1.09×106ms−1,T=1.52×10−16s

v=2.19×106ms−1,T=1.52×10−16s

v=7.29×106ms−1,T=1.22×10−16s

v=7.29×105ms−1,T=4.10×10−15s

Using, vn​=1371​nc​, we get v3​=1371​×33×108​ =7.29×105ms−1 Also, Tn​=v2πr​ ∴T3​=v3​2πr3​​=7.29×1052π(32×0.53×10−10)​ =4.10×10−15s

Q. In Bohr's atomic model, speed and time period of revolution of an electron in $n = 3$ level are respectively

$v = 1.09 \times 1 0^{6} m s^{- 1}, T = 1.52 \times 1 0^{- 16} s$

$v = 2.19 \times 1 0^{6} m s^{- 1}, T = 1.52 \times 1 0^{- 16} s$

$v = 7.29 \times 1 0^{6} m s^{- 1}, T = 1.22 \times 1 0^{- 16} s$

$v = 7.29 \times 1 0^{5} m s^{- 1}, T = 4.10 \times 1 0^{- 15} s$