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प्रश्न
In Bohr model of hydrogen atom, calculate the radius of the innermost electron orbit.
संख्यात्मक
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उत्तर
The Bohr model assumes that electrons orbit the nucleus in specific quantized orbits where the angular momentum is an integral multiple of h/2π.
Using standard constants:
ϵ0 = 8.854 × 10−12 C2/Nm2
h = 6.626 × 10−34 Js
m = 9.1 × 10−31 kg
e = 1.6 × 10−19 C
Radius of n th orbit (rn) = `(epsilon_0 n^2 h^2)/(pi m e^2)`
r1 = `((8.854 xx 10^-12) * 1^2 * (6.626 xx 10^-34)^2)/(3.14 * (9.1 xx 10^-31) * (1.6 xx 10^-19)^2)`
= 0.529 × 10−10 m
= 0.529 Å
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