The Atomic Spectrum Of Hydrogen Is Found To Contain A Series Of Lines At Wavelengths 656.46, 486.27, 434.17 And 410.29 Nm. What Will Be The Wavelength Of The Next Line In The Series?

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

The atomic spectrum of hydrogen is found to contain a series of lines at wavelengths 656.46, 486.27, 434.17 and 410.29 nm. What will be the wavelength of the next line in the series?

Solution

Correct option is

397.1 nm

 

The given wavelengths lie in the visible region. Hence, they are expected to belong to Balmer series. 

Thus, n1 = 2. Let us calculate n2 for the shortest wavelength, viz., 410.29 nm 

          

           

This on solving gives n2 = 6 

Thus, the next line will be obtained for jump from n2 = 7 to n1 = 2, so that 

     

          

SIMILAR QUESTIONS

Q1

A laser emits monochromatic radiation of wavelength 663 nm. If it emits 1015quanta per second per square meter, calculate the power output of the laser in joule per square meter per second.  

Q2

An electron in a certainty Bohr orbit has velocity 1/275 of the velocity of light. In which orbit the electron is revolving?

Q3

A bulb emits light of wavelength 4500 Å. The bulb is rated as 150 watt and 8% of the energy is emitted as light. How many photons are emitted by the bulb per second?

Q4

Find the velocity (in ms–1) of electron in first Bohr orbit of radius a0. Also find the de Broglie wavelength (in m). Find the orbital angular momentum of 2porbital of hydrogen atom in units of h/2π.

Q5

To which orbit the electron in the hydrogen atom will jump after absorbing 1.94× 10–18 J of energy? 

Q6

An electron in a hydrogen atom in the ground state absorbs energy equal to 1.5 time the minimum energy required to remove the electron from the hydrogen atom. Calculate the wavelength of the electron emitted.  

Q7

Find out the number of waves made by a Bohr electron in its 3rd orbit.

Q8

 

When a certain metal was irradiated with a light of frequency

3.2 × 1016 Hz, the photoelectrons had twice the kinetic energy as emitted when the same metal was irradiated with light of frequency 2.0 × 1016 Hz. Calculate the threshold frequency (v0) of the metal.

Q9

The wavelength of  line of Balmer series is 6500 Å. What is the wavelength of  line of Balmer series?

Q10

 

Calculate the energy required for the process  

       

The ionization energy for the H-atom in the ground state is

 2.18 × 10–18 J atom–1.