The period of revolution of the electron in the third orbit in a hydrogen atom is 4 . 132 × 10 - 15 s . Hence find the period in the 5 th Bohr orbit.

Given, the time period in the third orbit is, T 3 = 4 . 132 × 10 - 15 s Say, the time period in the fifth orbit is T 5 . We know that T ∝ n 3 , where T is the time period and n is the orbit number. Hence, T 5 T 3 = 5 3 3 = 125 27 ⇒ T 5 = 125 27 T 3 = 125 27 × 4 . 132 × 10 - 15 s = 19 . 13 × 10 - 15 s

E M B I B E

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 9

MEDIUM

12th CBSE

IMPORTANT

Earn 100

If the wavelength of the first member of Balmer series in hydrogen spectrum is $6563 A^{0}$ , calculate the wavelength of the first member of Lyman series in the same spectrum.

Important Questions on Atoms

MEDIUM

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 10

The second member of Lyman's series in hydrogen spectrum has a wavelength of

5400 A^{0}

. Calculate the wavelength of the first member.

EASY

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 11

A photon of energy

12.09 eV

is absorbed by an electron in ground state of a hydrogen atoms. What will be the energy level of electron? The energy of electron in the ground state of hydrogen atom is

- 13.6 eV .

MEDIUM

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 12

The period of revolution of the electron in the third orbit in a hydrogen atom is

4.132 \times 10^{- 15} s

. Hence find the period in the

5

th Bohr orbit.

EASY

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 13

The electron, in a hydrogen atom, is in its second excited state. Calculate the wavelength of the lines in the Lyman series, that can be emitted through the permissible transitions of this electron.(Given the value of Rydberg constant,

R = 1.1 \times 10^{7} m^{- 1}) .

MEDIUM

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 14

Show that the shortest wavelength lines in Lyman, Balmer and Paschen series have their wavelengths in the ratio

1 : 4 : 9

.

EASY

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 15

The short wavelength limit for the Lyman series of the hydrogen spectrum is $913.4 A^{0}$ . Calculate the short wavelength limit for Balmer series of hydrogen spectrum.

MEDIUM

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 16

Find the ratio between the wavelengths of the 'most energetic' spectral lines in the Balmer and Paschen series of the hydrogen spectrum.

MEDIUM

12th CBSE

IMPORTANT

PHYSICS A Reference Book for Class 12 Volume 2>Chapter 4 - Atoms>Problems For Practice>Q 17

Find out the wavelength of the electron orbiting in the ground state of hydrogen atom.