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Atoms

JEE Main 2024 (Online) 4th April Morning ShiftNumericalMedium📈 Topic in 14% papers+4
Ques. 1JEE Main 2024, 4 April (Morning Shift)

A hydrogen atom changes its state from n=3 to n=2. Due to recoil, the percentage change in the wavelength of emitted light is approximately 1 10-n. The value of n is . [Given Rhc=13.6 eV, hc=1242 eV nm, h=6.6 10-34 J s, mass of the hydrogen atom =1.6 10-27 kg]

Answer

7

Solution

Energy released: E=13.6 ( 122- 132 )=13.6 536 1.89 eV

Momentum conservation: atom recoils with p= Ec recoil KE = p22m= E22mc2

photon energy falls by this amount, EE= E2mc2

= 1.89 1.6 10-192 1.6 10-27 (3 108)2

1.05 10-9

% change 1 10-7 n=7

Answer: 7

Keep practising — Atoms

Ques. 2JEE Main 2024, 4 April (Evening Shift)

According to Bohr's theory, the moment of momentum of an electron revolving in 4th orbit of hydrogen atom is:

  1. 2 h
  2. h2
  3. h
  4. 8 h
Ques. 3JEE Main 2024, 1 February (Morning Shift)

The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly :

  1. 13.6 eV
  2. 1.5 eV
  3. 12.1 eV
  4. 1.9 eV
Ques. 4JEE Main 2024, 1 February (Evening Shift)

A particular hydrogen-like ion emits the radiation of frequency 3 1015 Hz when it makes transition from n=2 to n=1. The frequency of radiation emitted in transition from n=3 to n=1 is x9 1015 Hz, when x= .

Ques. 5JEE Main 2024, 31 January (Morning Shift)

If the wavelength of the first member of Lyman series of hydrogen is . The wavelength of the second member will be

  1. 275
  2. 527
  3. 2732
  4. 3227
Ques. 6JEE Main 2024, 30 January (Morning Shift)

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hydrogen atom is :

  1. 4
  2. 1
  3. 12
  4. 14
Ques. 7JEE Main 2024, 30 January (Morning Shift)

An electron of hydrogen atom in an excited state is having energy En=-0.85 eV. The maximum number of allowed transitions to lower energy level is .

Ques. 8JEE Main 2024, 30 January (Evening Shift)

An electron revolving in nth Bohr orbit has magnetic moment n. If n nx, the value of x is

  1. 2
  2. 0
  3. 3
  4. 1
Ques. 9JEE Main 2024, 29 January (Morning Shift)

When a hydrogen atom going from n=2 to n=1 emits a photon, its recoil speed is x5 m/s. Where x= . (Use, mass of hydrogen atom =1.6 10-27 kg)

Ques. 10JEE Main 2024, 29 January (Evening Shift)

Given below are two statements: In the light of the above statements, choose the most appropriate from the options given below

  1. Both Statement I and Statement II are true
  2. Statement I is true but Statement II is false
  3. Statement I is false but Statement II is true
  4. Both statement I and statement II are false
Ques. 11JEE Main 2024, 29 January (Evening Shift)

Hydrogen atom is bombarded with electrons accelerated through a potential difference of V, which causes excitation of hydrogen atoms. If the experiment is being performed at T=0 K, the minimum potential difference needed to observe any Balmer series lines in the emission spectra will be 10 V, where = .

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