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If velocity of an electron in 1st orbit ...

If velocity of an electron in 1st orbit of H atoms is V , what will be the velocity in 3rd orbit of `Li^(2+)` ?

A

V

B

V/3

C

3 V

D

9 V

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `V = 2.188 xx 10^6 (Z)/(n) m//s`
Now, `V prop (Z)/(n)`
so, `(V_(Li^(2 +)))/(V_H) = -(Z_1//n_1)/(Z_2//n_2) = (3//3)/(1//1) = 1`
or, `V_(Li^(2 +)) = V H`.
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Knowledge Check

  • If velocity of an electron in Ist orbit of AH atoms is V , what will be the velocity in 3rd orbit of Li^(2+) ?

    A
    V
    B
    `(V)/(3)`
    C
    `3V`
    D
    `9V`

  • If velocity of an electron in I orbit of H atom is V , what will be the velocity of electron in 3^(rd) orbit of Li^(2+)

    A
    `V`
    B
    `V//3`
    C
    `3V`
    D
    `9V`

  • If the velocity of an electron in I^(st) orbit of H is V, then what will be the velocity in 4^(th) orbit of Be^(+3) :-

    A
    V
    B
    `(V)/(4)`
    C
    16 V
    D
    4 V

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