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Atoms

JEE Main 2024 (Online) 29th January Morning ShiftNumericalMedium📈 Topic in 14% papers+4
Ques. 1JEE 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)

Answer

17

Solution

Photon energy: E=13.6 (1- 14 )=10.2 eV

Momentum conservation: mv=pphoton= Ec

v= Emc= 10.2 1.6 10-191.6 10-27 3 108

=3.4 m/s= 175 m/s

x=17

Answer: 17

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Ques. 2JEE 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. 3JEE 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 = .

Ques. 4JEE Main 2024, 27 January (Morning Shift)

The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be:

  1. 43R
  2. 169R
  3. 34R
  4. 916R
Ques. 5JEE Main 2024, 27 January (Evening Shift)

If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be 7R, where = .

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