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What is the ratio of the time periods (T...

What is the ratio of the time periods `(T_1//T_2)` on second orbit of H atom to 3rd orbit of `He^+`

A

`8//27`

B

`32//27`

C

`27//32`

D

`27//8`

Text Solution

Verified by Experts

The correct Answer is:
B
`(T_1)/(T_2) = (n_1^3)/(z_1^2)xx (z_2^2)/(n_2^3) implies (2^3)/(1^2) xx (2^2)/(3^3) implies (32)/(27)`
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Knowledge Check

  • The ratio of the radius of second orbit of Li^(2+) to that of thired orbit of Be^(3+) is

    A
    `(9)/(8)`
    B
    `(8)/(9)`
    C
    `(27)/(16)`
    D
    `(16)/(27)`

  • If T is the time required by electron in taking one round in an orbit, n represents the number of waves in an orbit, r represents the radius of orbit, then which have the value of 1/2 for 2^(nd) orbit of H and 4^(th) orbit of He^(+) ?

    A
    `(r_(2(H)))/(r_(4(He^(+))))`
    B
    `(T_(2(H)))/(r_(4(He^(+))))`
    C
    `(n_(2(H)))/(n_(4(He^(+))))`
    D
    `(E_(2(H)))/(E_(4(He^(+))))`

  • In Bohr.s model of hydrogen atom, the ratio between the period of revolution of an electron in orbit n=1 to the period of the electron in the orbit n=2 is

    A
    `1:2`
    B
    `2:1`
    C
    `1:4`
    D
    `1:8`

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