+91-87964 74404
FlagBACK
Question icon
Grade 12Physical Chemistry

Monochromatic radiation of wavelength λ is incident on a hydrogen sample in ground state.Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. Find the value of λ. Rydberg constant =1.09 X 10-7 m-1

Profile image of sahil phalle
9 Years agoGrade 12
Answers icon

2 Answers

Profile image of Vikas TU
9 Years ago
from the eqn. for ground state
n(n-1)/2 = 6
n^2 – n – 12 = 0
n^2 – 4n + 3n – 12 = 0
(n-4) (n+3) = 0
n = 4
Therfore,
1/λ = R*1^2(1/1^2 – 1/4^2)
1/λ = R*(1 – 1/16) => 15R/16
λ = 16/15R   = 16*10^7/(15 *1.09) is the answer.    = 0.978593 * 10^7 meter.
Profile image of Rishi Sharma
5 Years ago
Dear Student,
Please find below the solution to your problem.

from the eqn. for ground state
n(n-1)/2 = 6
n^2 – n – 12 = 0
n^2 – 4n + 3n – 12 = 0
(n-4) (n+3) = 0
n = 4
Therfore,
1/λ = R*1^2(1/1^2 – 1/4^2)
1/λ = R*(1 – 1/16)
=> 15R/16
λ = 16/15R
= 16*10^7/(15 *1.09) is the answer.
= 0.978593 * 10^7 meter

Thanks and Regards

Other Related Questions on physical chemistry

question mark
Which of the following aqueous solutions remains neutral after
electrolysis
physical chemistry
0 Answer Available

Last Activity: 3 Years ago

question mark
In the reaction A + 2B ⇌ 2C, if 2 moles of A, 3 moles of B and 2 moles of C are placed in a 2 L flask and
the equilibrium concentration of C is 0.5 mol/L. The equilibrium constant (KC) for the reaction is.....and please tell how you know that the reaction is going forward .. imean how to calculate the reaction quotient ???
 
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
True or false when an electron in ground state of hydrogen atom is excited with an energy that is greayer than e2-e1 but less than e3-e1 the electron will get excited n=2
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
18 19 gram mixture of na2co3 and nahco3 on heating gives 2.2 gram CO2 gas find the percent nahco3 (by mass) in mixture
physical chemistry
1 Answer Available

Last Activity: 4 Years ago

question mark
A 100 cm cube solution of sodium carbonate is prepared by dissolving 8.653 g of salt in water the density of solution is 1.0816g per ml what are the molarity and molality of the solution.
 
physical chemistry
1 Answer Available

Last Activity: 4 Years ago