Using Bohr atomic model, drive expression for calculating the radius of orbits (5)
in He+. Using this expression, calculate the radius of fourth orbit of He+ ion.
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according to Bohr's model of atom
★ angular momentum of an electron an orbital is integral multiple of h/2π
e.g mvr = nh/2π
★ electron revolve around the nucleus electrostatic force is balanced by centripetal force .
e.g KZe²/r² = mv²/r
by both equation ,
n = n²h²/4π²mKZe²
= (h²/4π²mKe²) (n²/Z)
value of h²/4π²mKe² = 0.529 A°
so, radius of nth orbit = (0.529)n²/z A°
now ,radius of 4th orbit of He+
= (0.529)(4)²/2 = 0.529× 8 A°
★ angular momentum of an electron an orbital is integral multiple of h/2π
e.g mvr = nh/2π
★ electron revolve around the nucleus electrostatic force is balanced by centripetal force .
e.g KZe²/r² = mv²/r
by both equation ,
n = n²h²/4π²mKZe²
= (h²/4π²mKe²) (n²/Z)
value of h²/4π²mKe² = 0.529 A°
so, radius of nth orbit = (0.529)n²/z A°
now ,radius of 4th orbit of He+
= (0.529)(4)²/2 = 0.529× 8 A°
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