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Answered by
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- Correct option is
- Correct option isV || (2.19 × 106) Z n
- Correct option isV || (2.19 × 106) Z nV = (2.19 × 106) 3
- Correct option isV || (2.19 × 106) Z nV = (2.19 × 106) 3v = 1.46 × 106 m/s
- Correct option isV || (2.19 × 106) Z nV = (2.19 × 106) 3v = 1.46 × 106 m/sD 1.46 x 106 m/s
Answered by
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Soln : 1.46 × 10^6 m/s
Explanation:
Energy of the electron in the 3rd orbit of He+ is
E3 = -13.6 × Z^2 / n^2 eV = -13.6 × 4/3^2 eV
E3 = -136 × 4/9 = 1.6 × 10^-19 J
From Bohr's model,
E3 = -KE3 = -1/2 mev^2
=> 1/2 × 9.1 × 10^-31 × v^2 = -13.6 × 4/9 × 1.6 × 10^-19
=> v^2 = ( 136 × 16 × 4 × 2 × 10^-11 ) / 9 × 91
or, v = 1.46 × 10^6 m/s
∴ The Speed of the electron in this orbit will be 1.46 × 10^6 m/s !
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