Question

The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is ______ × 10^-11 m (given radius of first Bohr orbit is 5.3 × 10^-11 m):

पर्याय

• 55.90

• 77.90

• 99.90

• 22.90

Answer 1

The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is 99.90 × 10^-11 m (given radius of first Bohr orbit is 5.3 × 10^-11 m):

Explanation:

r = `"r"_0 "n"^2/"z"`

= 5.3 × 10^–11 m × 9

= 47.7 × 10^–11 m

∴ 3 × λ = 2π × 47.7 × 10^–11

⇒ λ = 99.9 × 10^–11 m