Home
Class 12
PHYSICS
A gyromagnetic ratio of the electron rev...

A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is `8.8xx10^(10)C kg^(-1)`. What is the mass of the electron? Given charge of the electron `=1.6xx10^(-19)C`.

A

`1xx10^(-19)c`

B

`0.1 xx10^(-29)` kg

C

`1.1 xx10^(-29) kg`

D

`1//11 xx10^(-29) kg`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that
Magnetic moment M=iA
here `i=(ev)/(2pir)`
`M=(evr)/(2)`

and angular momentum
divinding eq (ii) eq (ii) we get
`(M)/( L)=(e )/(2m)`
where M/L =gyromagnetic ratio
Given
`M//L=8.8xx10^(10) c//kg`
`e=1.6xx10^(-19)C`
`=8/88xx10^(-29)`
`=1/11xx10^(-29) kg`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MAGNETOSTATICS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION (LEVEL III)|2 Videos

  • LAWS OF MOTION

    MODERN PUBLICATION|Exercise Revision test|43 Videos

  • MOCK TEST-1

    MODERN PUBLICATION|Exercise MCQs|47 Videos

Similar Questions

Explore conceptually related problems

The radius of the innermost electron orbit of a hydrogen atom is 5.3 xx 10^(–11) m . What are the radii of the n = 2 and n =3 orbits?

Calculate the number of electrons constituting one coulomb of c.harge. (charge on 1 electron = 1.6xx10^(-19) C)

Knowledge Check

  • To charge a body to +1 coulomb ( charge of an electron =1.6 xx 10^(-19)C )

    A
    `6.25xx10^(18)` electrons must be added
    B
    One electron has to be removed
    C
    A charge of -1 coulomb must be added
    D
    `6.25 xx 10^(18)` electrons must be removed

  • The radius of the smallest electron orbit in the hydrogen like atom is (0.51 xx 10^(-10))/(4) m, then it is :

    A
    Hydrogen atom
    B
    `He^(+)`
    C
    `Li^(++)`
    D
    `Be^(+++)`

  • The radius of the smallest electron orbit in the hydrogen like atom is (0.51xx10^(-10))/4 m, then it is :

    A
    Hydrogen atom
    B
    `He^(+)`
    C
    `Li^(++)`
    D
    `Br^(+++)`

    • Similar Questions

    Explore conceptually related problems

    If an electron is accelerated by 8.8xx10^(14)ms^(-2) , then electric field required for this acceleration is (given specific charge of the electron =1.76xx10^(11)Ckg^(-1) ):

    The radius of the second Bohr orbit for hydrogen atom is: (Planck's constant, h = 6.6262 xx 10^(-34) js, mass of electron = 9.1091 xx 10^(-31) kg , charge of electron e = 1.60210 xx 10^(-19) C , permittivity of vacuum e_0 = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^2)

    The radius of the first orbit of electron in hydrogen atom (e=1.6xx10^(-19)" coulomb,

    Magnitude of acceleration of an electron having speed 2.5xx10^(6)ms^(-1) in a magnetic field of value 2.0 G, is (given : specific charge of the electron =1.76xx10^(11)Ckg )

    The velocity of an electron in Bohr's first orbital of la H-atom is 2.16xx10^(6)ms^(-1) . Its velocity in the second orbit would be

    Home
    Profile