If the radius of the first orbit of hydrogen atom is 5.29 × 10-11 m, the radius of the second orbit will be

Question

If the radius of the first orbit of hydrogen atom is 5.29 × 10-11 m, the radius of the second orbit will be (A) 21.16 × 10-11 metre (B) 15.87 × 10-11 metre (C) 10.58 × 10-11 metre (D) 2.64 × 10-11 metre

Tardigrade Admin · Accepted Answer

Radius of n text th orbit =n2 r0 Radius of 2 text nd orbit =4 r0 [r0 ≈ 5.3 × 10-11 m ] ∴ Hence radius needed ≈ 21.16 × 10-11 m

Q. If the radius of the first orbit of hydrogen atom is $5.29 \times 1 0^{- 11} m$ , the radius of the second orbit will be

$21.16 \times 1 0^{- 11}$ metre

$15.87 \times 1 0^{- 11}$ metre

$10.58 \times 1 0^{- 11}$ metre

$2.64 \times 1 0^{- 11}$ metre

Radius of $n^{th}$ orbit $= n^{2} r_{0}$
Radius of $2^{nd}$ orbit $= 4 r_{0}$
$[r_{0} \approx 5.3 \times 1 0^{- 11} m]$
$∴$ Hence radius needed $\approx 21.16 \times 1 0^{- 11} m$

Q. If the radius of the first orbit of hydrogen atom is 5.29×10−11m, the radius of the second orbit will be

21.16×10−11 metre

15.87×10−11 metre

10.58×10−11 metre

2.64×10−11 metre