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Frequancy =f(1), Time period = T, Energy...

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,):}`

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The correct Answer is:
`(A) rarr q ; (B) rarr p ; (C ) rarr q,r ; (D) rarr r,s`
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" Energy of the n^(th) orbit "-

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):}

The correct match of the following is : {:(,"Column - I",,"Column - II"),((i),""^(n)C_(r ),(a),n!),((ii),""^(n)C_(0),(b),1),((iii),""^(n)P_(r ),(c ),r!.""^(n)C_(r )),((iv),""^(n)P_(n),(d),""^(n)C_(n-r)):}

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

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

Let R_(t) represents activity of a sample at an insant and N_(t) represent number of active nuclei in the sample at the instant. T_(1//2) represents the half life. {:(,"Column I",,"Column II"),((A),t=T_(1//2),(p),R_(t)=(R_(0))/(2)),((B),t=(T_(1//2))/(ln2),(q),N_(0)-N_(t)=(N_(0))/(2)),((C),t=(3)/(2)T_(1//2),(r),(R_(t)-R_(0))/(R_(0)) = (1-e)/(e)),(,,(s),N_(t)=(N_(0))/(2sqrt(2))):}

Calculate the ratio of the radius of 1^(st) orbit of H atom to thatof 4^(th) orbit. Hint : r_(n) prop ( n)^(2)

The radius of n^th orbit r_n in the terms of Bohr radius (a_0) for a hydrogen atom is given by the relation

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

ALLEN-ATOMIC STRUCTURE-Exercise - 03
  1. MATCH THE COLUMN {:(,"Column-I",,"Column-II",),((A),"Aufbau princip...

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  2. {:(,"Column-I",,"Column-II",),((A),"Cathode rays",(p),"Helium nuclei",...

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  3. Frequancy =f(1), Time period = T, Energy of n^(th) orbit = E(n), radiu...

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  4. {:(,"Column-I",,"Column-II",),((A),"Layman series",(p),"maximum number...

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  5. Statement-I : Nodal plane of p(x) atmoic orbital is yz plane. Becau...

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  6. Statement-I : No two electrons in an atom can have the same values of ...

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  7. Assertion (A) : p orbital is dumb- bell shaped Reason (R ) :Electron...

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  8. Statement-I : The ground state configuration of Cr is 3d^(5) 4s^(1). ...

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  9. Statement-I : Mass numbers of most of the elements are fractional. ...

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  10. Assertion (A) : Limiting line is the balmer series has a wavelength of...

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  11. Assertion (A) : The electronic configuration of nitrogen atom is repre...

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  12. Statement-I : The configuration of B atom cannot be 1s^(2) 2s^(3). ...

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  13. Statement-I : 2p orbitals do not have spherical nodes. Because S...

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  14. Statement-I : In Rutherford's gold foil experiment, very few alpha-par...

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  15. Statement-I : Each electron in an atom has two spin quantum numbers. ...

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  16. Statement-I : There are two spherical nodes in 3s-orbital. Because ...

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  17. Comprehension # 1 Read the following rules and answer the questions ...

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  18. Comprehension # 1 Read the following rules and answer the questions ...

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  19. Comprehension # 1 Read the following rules and answer the questions ...

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  20. Comprehension # 1 Read the following rules and answer the questions ...

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