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In Bohr's model, r(n,z)= radius of n^(th...

In Bohr's model, `r_(n,z)=` radius of `n^(th)` orbit with atomic number Z
`u_(n,z) =P.E` of electron in `n^(th)` orbit with atomic number Z
`K_(n,z) = K.E` of electron in `n^(th)` orbit with atomic number Z
`V_(n,z) =` velocity of electron in `n^(th)` orbit with atomic number Z
`T_(n,z)=` time period of revolution in `n^(th)` orbit with atomic number Z
`{:(Column I,Column II),((A)U_(1.2),K_(1.1),(p)1:8),((B)r_(2.1),r_(1.2),(q)-8:1),((C)V_(1.3),V_(3.1),(r)9:1),((D)T_(1.2),T_(2.2),(s)8:1):}`

Text Solution

Verified by Experts

The correct Answer is:
A-q, B-s, C-r, D-p
`r_(n,z) prop (n^(2))/(z)`
`rarr U_(n,z) prop -(z^(2))/(n^(2)), " "rarr KE_(n,z) prop (z^(2))/(n^(2))`
`rarr T_(n,z) prop -(z^(2))/(n^(2)), " "rarr V_(n,z) prop (z)/(n)`
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In the Bohr's model , for unielectronic species following symbols are used r_(n,z)to Radius of n^"th" orbit with atomic number "z" U_(n,z)to Potential energy of electron in n^"th" orbit with atomic number "z" K_(n,z)to Kinetic energy of electron in n^"th" orbit with atomic number "z" V_(n,z)to Velocity of electon in n^"th" orbit with atomic number "z" T_(n,z)to Time period of revolution of electon in n^"th" orbit with atomic number "z" Calculate z in all in cases. (i) U_(1,2):K_(1,z)=-8:9 (ii) r_(1,z):r_(2,1) =1:12 (iii) v_(1,z):v_(3,1)=15:1 (iv) T_(1,2):T_(2,z)=9:32 Report your answer as (2r-p-q-s) where p,q,r and s represents the value of "z" in parts (i),(ii),(iii),(iv).

In the Bhor's models for the unielectronic species followingf symbols are used. r_(n,z) rarr Radius of n^(th) orbit with atomic number "Z" U_(n,z)rarr Potential energy of electron in n^(th) orbit with atomic number "Z" K_(n,z)rarr Kinetic energy of electron in n^(th) orbit with atomic number "Z" v_(n,z)rarr Velocity of electron in n^(th) orbit with atomic number "Z" T_(n,z)rarr Time period of revlution of electron energy of electron in n^(th) orbit with atomic number "Z" Calulate z in all in cases. Represent your answer as abcd, where a,b,c and d repersent number from 0 to 9. a,b,c and d represents the value of "z" in parts (i),(ii),(iii) & (iv) . Suppose your answer is 1,2,3&4 then the same must be filled in OMR sheet as 12314.00.

Knowledge Check

  • In the Bohr’s model, for unielectronic species following symbols are used, r_(n,z)to Radius of n ^(th) orbit with atomic number "z". U _(n,z) to Potential energy of electron in n ^(th) orbit with atomic number "z". K _(n , z)to Kinetic energy of electron in n^(th) orbit with atomic number "z". v_(n,z) to Velocity of electron in n^(th) orbit with atomic number "z". T_(n,z)to Time period of revolution of electron in n^(th) orbit with atomic number "z". Calculate z in all in cases. (i) U _(1,2) : K _(1,z) =-8:1 (ii) r _(1,z) : r _(2,1) =1:8 (iii) v _(1,z):v _(3,1)=9:1 (iv) T_(1,2) : T_(2,z) =9:32 Represent your answer as abcd, where a,b,c and d represent number from 0 to 9. a,b,c and d represents the value of "z" in parts (i), (ii), (iii) & (iv). Suppose your answer is 1,2,3 & 4 then the same must be filled in OMR sheet as 1234.00.

    A
    2233
    B
    1233
    C
    3233
    D
    4233

  • Radius (r_(n)) of electron in nth orbit versus atomic number (Z) graph is

    A
    B
    C
    D

  • According to Bohr's theory, the radius of the n^(th) orbit of an atom of atomic number Z is proportional

    A
    `(n^(2))/(z^(2))`
    B
    `(n^(2))/z`
    C
    `n/z`
    D
    `n^(2)z^(2)`

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    Frequancy =f_(1) , Time period = T, Energy of n^(th) orbit = E_(n) , radius of n^(th) orbit =r^(n) , Atomic number = Z, Orbit number = n : {:(,"Column-I",,"Column-II",),((A),f,(p),n^(3),),((B),T,(q),Z^(2),),((E),E_(n),(r ),(1)/(n^(2)),),((D),(1)/(r_(n)),(s),Z,):}

    Calculate the value of A. A=(E_(1.2))/(2E_(2,1)) where E_(nz) = Emergy of electron in n^(th) orbit, Z= atomic number of hydrogen like species.

    If an electron is moving in the n^(th) orbit of the hydrogen atom, then its velocity (v_(n)) for the n^(th) orbit is given as :

    If in hydrogen atom, radius of n^(th) Bohr orbit is , n_(r) frequency of revolution of electron in n^(th) orbit is f_(n) choose the correct option

    If in hydrogen atom, radius of n^(th) Bohr orbit is r_n ., frequency of revolution of electron in n^(th) orbit is f_n choose the correct option.

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