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Calculate the radius of 1^(st), 2^(nd),3...

Calculate the radius of `1^(st), 2^(nd),3^(rd),4^(th)` Bohr's Orbit of hydrogen.

Text Solution

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Radius of Bohr's orbit `r=0.529xx(n^(2))/(Z)`
(a) Radius of `1^(st)` orbit :
`r=0.529xx(1^(2))/(1)=0.529Å`
(b) Radius of `2^(nd)` orbit :
`r=0.529xx(2^(2))/(1)=0.529xx4=2.116Å`
(c ) Radius of `3^(rd)` orbit :
`r=0.529xx(3^(2))/(1)=0.529xx9=4.761 Å`
(d) Radius of `4^(th)` orbit :
`r=0.529xx(4^(2))/(1)=0.529xx16=8.464 Å`
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