Atomic Structure MCQ - 2 (Advance) - JEE MCQ

1^st  excitation potential for the H-like (hypothetical) sample is 24 V. Then:

A hydrogen like atom in ground state absorbs 'n' photons having the same energy and it emits exactly 'n' photons when electronic transition takes place. Then the energy of the absorbed photon may be                       

In a hydrogen like sample two different types of photons A and B are produced by electronic transition. Photon B has it's wavelength in infrared region if photon A has more energy then B, then the photon A may belong to the region.                       

Hydrogen atoms in a particular excited state 'n', when all returned to ground state, 6 different photons are emitted. This of the following is/are incorrect.               

 In a H-like sample electrons make transition from 4th excited state to 2^nd state then

Which of the following ion has highest magnetic moment.

If an ion of ₂₅Mn has a magnetic moment of 3.873 B. M. Then Mn is in which state.               

Which of the following is a paramagnetic substance.

The number of unpaired electrons in Mn⁴⁺ (Z = 25) is –

If proton, electron and a-particle are moving with same kinetic energy then the order of their de-Broglie's wavelength.

Using Bohr's theory, the transition, so that the electrons de-Broglie wavelength becomes 3 times of its original value in He⁺ ion will be               

De-Broglie wavelength of an electron travelling with speed equal to 1% of the speed of light           

If an electron is in any higher state n = n and makes a transition to ground state, then total no. of different photons emitted is equal to 

If an electrons is in any higher state n = n₂ and makes a transition to another excited state n = n₁, then total no. of different photons emitted is equal to

where Δ n = n 2 – n 1 .

Note: In case of single isolated atom if electron make transition from n^th state to the ground state then max. number of spectral lines observed = ( n – 1).

Q.

Two samples are taken, in 1^st sample mole ratio of H to H+ is 1: 2. In IInd sample mole ratio of H to He+ is 2: 1. If n1 is number of spectral lines produced by 1^st sample and number of spectral lines produced by lino sample is n₂ then n₁: n₂ will be – (There is sufficient number of both types of atom and both are in same excited state in both sample)

Which of the following statements is/are true?

(I) If H atoms are in 3^rd state then number of maximum spectral line produced by 2 atoms will be equal to number of maximum spectral lines produced by 3 H-atoms

(II) For third excited state, maximum number of spectral line produced by He⁺ and maximum number of spectral line produced by 4 H - atom are not equal.

(III) Energy evolved from 3 to 2 transitions in He cannot used for any transition in Li₂₊.

If an electron is in any higher state n = n and makes a transition to ground state, then total no. of different photons emitted is equal to 

If an electrons is in any higher state n = n₂ and makes a transition to another excited state n = n₁, then total no. of different photons emitted is equal to

where Δ n = n 2 – n 1 .

Note: In case of single isolated atom if electron make transition from n^th state to the ground state then max. number of spectral lines observed = ( n – 1).

Q.

In a sample one H atom is in 1st excited state, two He⁺ ions is in IInd excited state and three Li²⁺ ions is in Illrd excited state are present then maximum, number of spectral line which can be obtained when all possible transition terminated at n = 1.

P_n = potential energy, E_n = total energy

f = frequency, Z = atomic number

v_n = velocity in n^th orbit

T_n = time period in n^th orbit

Match the following

 B.E. - Binding energy 

I.E. - Ionization energy: