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In the Bhor's models for the unielectron...

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.

Text Solution

Verified by Experts

The correct Answer is:
1233

Put in the standard equation of radius , velocity potential energy & time peroid and calculate z and its
value comes out to be 1,2,3,3 respectively .
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Kinetic energy of electron in n^("th") orbit in H-atom

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

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):}

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

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

Time period of revolution of an electron in n^(th) orbit in a hydrogen like atom is given by T = (T_(0)n_(a))/ (Z^(b)) , Z = atomic number

In Bohr's orbit, kinetic energy of an electron in the n^(th) orbit of an atom in terms of angular momentum is

BANSAL-ATOMIC STRUCTURE-Exercise.3
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  2. Calculate the wavelength of the radiation that would cause photo disso...

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  3. The dissociation energy of H(2) is 430.53 kJ mol^(-1), If H(2) is of d...

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  4. X-rays emitted from a copper target and a molybdenum target are found ...

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  5. An energy of 68eV is required to excite a hydrogen like atom from its...

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  6. A particle of chagre equal to that of an electron and mass 208 times ...

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  7. An alpha particle after passing through a potential difference of 2xx1...

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  8. A pronton captures a free electron whose K.E. is zero & from a hydr...

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  9. The ionization energy of the hydrogen atom is given to be 13.6 eV ....

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  10. Find the wavelenght of the first line of He^(+)ion sepectral series wh...

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  11. The ionisation energy of a H-like atom is 4R(h) a. Calculate the wav...

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  12. Photon having wavelength 12.4nm was allowed to strike a metal plate h...

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  13. Electron present in single electron specie jump from energy level 3 t...

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  14. The angular momentum of an electron in a Bohr's orbit of He^(+) is 3.1...

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  15. Mr.Santa has to decode a number "ABCDEF" where each alphabet is resper...

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  16. In the Bhor's models for the unielectronic species followingf symbols ...

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  17. Calcuted the distance of spherical nodes for '3s' orbital from nucleus...

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  18. Calculated the energy required to excite one litre of hydrogen gas at ...

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  19. Suppose in the Bohar's model of H-atom, instead of electron forec, som...

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  20. A light is passed through a sample of a single elecrton excited spice ...

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