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In the Bohr’s model, for unielectronic s...

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

Text Solution

Verified by Experts

The correct Answer is:
B
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Kinetic energy of electron in n^("th") orbit in H-atom

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).

Knowledge Check

  • The energy of an electron in n^"th" orbit of hydrogen atom is

    A
    `13.6/n^4 eV`
    B
    `13.6/n^3 eV`
    C
    `13.6/n^2 eV`
    D
    `13.6/n` eV

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

    A
    B
    C
    D

  • Which of the following option(s) is/are independent of both n and Z for H- like species? U_(n) = Potential energy of electron in n^(th) orbit KE_(n) = Kinetic energy of electron in n^(th) orbit l_(n) = Angular momentam of electoron in n^(th) orbit v_(n) = Velcity of electron in n^(th) orbit f_(n) = Frequency of electron in n^(th) orbit T_(n) = Time period of revolution of electron in n^(th) orbit

    A
    `(r_(n))/(U_(n))`
    B
    `r_(n) xx KE_(n) xx l_(n)`
    C
    `(U_(n) xx T_(n))/(l_(n))`
    D
    `(l_(n) xx f_(n))/(v_(n)^(2))`

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    " Kinetic energy of electron in "n''" orbit in H-atom "

    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.

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