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QUESTION: 1

**Retro JEE Main (Compilation of Last 13 Years Questions)**

**IIT JEE (Main & Advanced) past year questions with solutions & answer key**

**Retro IIT JEE (Main and Advanced) have questions from previous/past (10 to 13 years) papers
of IIT JEE (Main and Advanced) with solutions,**

**The following set of questions contain previous/past (10 to 13 years) questions of IIT JEE
(Main and Advanced) of Chapter "Structure of Atom" with solutions **

**Q. The correct set of four quantum numbers for the valence electrons of rubidium atom [Z = 37] is**

**(JEE Main 2014)**

Solution:

The electronic configuration of rubidium atom (Z = 37)isgiven by

Rb = [Kr] 5 s^{1}

Hence, the quantum numbers for 5 s^{1} electron is given by

n = 5, 1 = 0, m = 0

QUESTION: 2

Energy of an electron is given by

required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be

(h = 6.62 x 10^{-34} Js and c = 3 .0 x 10^{8} ms^{-1})

**(JEE Main 2013**)

Solution:

QUESTION: 3

The electrons identified by quantum numbers n and l

(1) n = 4,l = 1 (2) n = 4,1 = 0

(3) n = 3,l = 2 (4) n = 3,l = 1

can be placed in the order of increasing energy as

**(AIEEE 2012)**

Solution:

Higher the value of (n + l), higher is the energy. If (n + I) are same, then suborbit with lower value of n has lower energy. Thus,

3p < 4s < 3d < 4p

(4) < (2) < (3) < (1)

QUESTION: 4

A gas absorbs photon of 355 nm and emits at two wavelengths. If one of the emission is at 680 nm, the other is at

**(AIEEE 2010)**

Solution:

Energy values are always additive.

QUESTION: 5

The frequency of light emitted for the transition n = 4 to n = 2 of He^{+} is equal to the transition in H atom corresponding to which of the following?

**(AIEEE 2011)**

Solution:

if electron falls from n_{2}-level to n_{1} level.

QUESTION: 6

The energy required to break one mole of Cl— Cl bonds in Cl_{2} is 242 kJ mol^{-1}. The longest wavelength of light capable of breaking a single Cl— Cl bond is

Solution:

QUESTION: 7

Ionisation energy of He^{+} is19.6x10^{-18 }J atom^{-1}. The energy of the first stationary state (n = 1) of . . 0 . .

Li^{2+} is

**(AIEEE 2010)**

Solution:

IE = - E_{1}

QUESTION: 8

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%.

Certainity with which the position of the electron can be located is [h = 6.6 x 10^{-34} kg m^{2} s^{-1}, mass of electron, e_{m} = 9.1 x 10^{-31} kg)

**(AIEEE 2009)**

Solution:

By Heisenberg's uncertainty principle

QUESTION: 9

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x 10^{3} ms^{-1} (Mass of proton = 1.67x 10^{-27} kg and 0 = 6.63 x 10^{-34} Js

**(AIEEE 2009)**

Solution:

QUESTION: 10

The ionisation enthalpy of hydrogen atom is 1.312x 10^{6} J mol^{-1}.The energy required to excite the electron in the atom from n_{1} = 1 to n = 2 is

**(AIEEE 2008)**

Solution:

Ionisation enthalpy of hydrogen atom is 1.312 x 10^{6} J mol^{-1}. It suggests that the energy of electron in the ground state (first orbit) is - 1.312 x 10^{6} J mol ^{-1}

QUESTION: 11

Which of the following sets of quantum numbers represents the highest energy of an atom?

Solution:

n + I = 5, m aximum .

QUESTION: 12

Which of the following nuclear reactions will generate an isotope?

**(AIEEE 2007)**

Solution:

Isotopes are species having same number of protons but different number of neutrons.

QUESTION: 13

Uncertainty in the position of an electron (mass 9.1 x 10^{-31} kg) moving with a velocity of 300 ms^{-1}, accurate upto 0.001% will be:

**(AIEEE 2006) **

Solution:

QUESTION: 14

According to Bohr's theory, the angular momentum of an electron in 5th orbit is

**(AIEEE 2006)**

Solution:

QUESTION: 15

Which of the following statements in relation to the hydrogen atom is correct?

**(AIEEE 2005)**

Solution:

Hydrogen atom has 1s^{1} configuration and these 3s , 3p and 3d orbitals will have same energy w.r.t. 1s orbital.

QUESTION: 16

In a multielectron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields?

**(AIEEE 2005)**

Solution:

(A) 1s

(B) 2s

(C) 2p

(D) 3d

(E) 3d

In the absence of any field, 3d in (D) and (E) will be of equal energy.

QUESTION: 17

Of the following sets, which one does not contain isoelectronic species?

**(AIEEE 2005)**

Solution:

QUESTION: 18

The wavelength of the radiation emitted, when in a hydrogen atom electron falls from infinity to stationary state 1, would be (Rydberg constant = 1.097 X 107 m^{-1})

Solution:

QUESTION: 19

Which of the following sets of quantum numbers is correct for an electron in 4f orbital?

**(AIEEE 2004)**

Solution:

Any suborbit is represented as nl such that n is the principal quantum number (in the form of values) and l is the azimuthal quantum number (its name)

Thus, for 4f : n = 4, l = 3, m = any value between - 3 to + 3 and

QUESTION: 20

Consider the ground state of Cr atom (Z = 24).

The numbers of electrons with the azimuthal quantum numbers, l = 1 and 2 are, respectively

**(AIEEE 2004)**

Solution:

EC of Cr (Z = 24) is

Thus, electrons with l = 1, are 12 and with l= 2, are 5.

QUESTION: 21

Which one of the following sets of ions represents the collection of isoelectronic species?

(Atomic numbers of F = 9, Cl = 17, Na = 11, Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21)

Solution:

In this set, all have 18 electrons, thus isoelectronic.

QUESTION: 22

The de-Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 m/s is approxim ately

(Planck’s constant, h = 6.63 x 10^{-34} Js)

**(AIEEE 2003)**

Solution:

Wavelength associated with the velocity of tennis ball.

QUESTION: 23

In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inner-orbit jumps of the electron for Bohr orbits in an atom of hydrogen?

**(AIEEE2003)**

Solution:

The emission is in visible region [V I B G Y O R], The visible region in H spectrum corresponds to Balmer series [n_{1} = 2, n_{2} = 3, 4 ... ∞]

i.e., either (a) or (b). In (a), there is only one emission. Thus, the third line will be in the jump from 5 to 2.

QUESTION: 24

The number of d-electrons retained in Fe^{2+} (atomic number Fe = 26) ion is

**(AIEEE 2003)**

Solution:

QUESTION: 25

Which one of the following groupings represents a collection of isoelectronic species?

(Atomic numbers of Cs = 55, Br = 35)

**(AIEEE 2003) **

Solution:

QUESTION: 26

The orbital angular momentum for an electron revolving in an orbit is given by This momentum for s-electron will be given by

**(AIEEE 2003)**

Solution:

Fors-electron,l = 0.

QUESTION: 27

Uncertainty in position of a particle of 25 g in space is 10^{-5} m. Hence, uncertainty in velocity (ms^{-1}) is

(Planck’s constant, h = 6 . 6 x 10^{-34} Js)

**(AIEEE 2002)**

Solution:

Heisenberg uncertainty principle

QUESTION: 28

Energy of H-atom in the ground state is -13.6 eV hence energy in the second excited state is

**(AIEEE 2002)**

Solution:

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