 Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A 12·5 eV electron beam is used to excite a gaseous hydrogen atom at
room temperature. Determine the wavelengths and the corresponding
series of the lines emitted.
one year ago

12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Also, gaseous hydrogen in its ground state at RT = -13.6 eV

So, the energy of the gaseous hydrogen = -13.6 + 12.5 = -1.1 eV

So, orbital energy E = -13.6/ n2 eV  (where, n = 3)

E = -13.6/ 32 = -13.6/9 = -1.5 eV

If the energy is equal to the energy of gaseous hydrogen. It can be concluded that the electron has jumped from n =1 to n - 3 level

In de excitation process, electrons can jump from n=3 to n=1. then Lyman series as

1/ λ = Ry (1/ 12-1/ n2) , where, Ry =  1.097 x 107 m/s

Wavelength of radiation emitted by transition of electron

For n=3,

We can get

1/ λ = 1.097 x 107 (1/ 12-1/ 32) = 1.097 x 107(1- 1/9) = 1.097 x 107x 8/9 = 102.55 nm

If the transmission from n=2 to n=1 , then,

1/ λ = 1.097 x 107 (1/ 12-1/ 32) = 1.097 x 107(1- 1/4) = 1.097 x 107x 3/4 = 121.54 nm

If the transmission from n=3 to n=2 , then,

1/ λ = 1.097 x 107 (1/ 22-1/ 32) = 1.097 x 107(1/4- 1/9) = 1.097 x 107x 5/36 = 656.33 nm

Hence, in Lyman series, two wavelengths i.e. 102.55 nm and 121.54 nm are emitted. In Balmer series, one wavelength, 656.33 nm is emitted.

one year ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on Organic Chemistry

View all Questions »  Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  Course Features

• 70 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions