Home
Class 12
PHYSICS
Hydrogen (.(1)H^(1)), Deuterum (.(1)H^(2...

Hydrogen `(._(1)H^(1))`, Deuterum `(._(1)H^(2))`, singly ionised Hellium `(._(2)He^(4))^(+)` and doubly ionised lithium `(._(3)Li^(6))^(++)` all have one electron around the nucleus. Consider an electron tranition from `n=2` to `n=1`. If the wave lengths of emitted radiation are `lambda_(1),lambda_(2),lambda_(3)` and `lambda_(4)` respectively then approximately which one of the follwing is correct ?

A

`4lambda_(1)=2lambda_(2)=2lambda_(3)=lambda_(4)`

B

`lambda_(1)=2lambda_(2)=2lambda_(3)=lambda_(4)`

C

`lambda_(1)=lambda_(2)=4lambda_(3)=9lambda_(4)`

D

`lambda_(1)=2lambda_(2)=3lambda_(3)=4lambda_(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since , `1/lambda = RZ^(2)[1/(n_(1)^(2))-1/(n_(2)^(2))]`
For , `._(1)H^(1)1/(lambda_(1))= R(1)^(2) (1-1/4)=(3R)/4`
For `._(1)H^(1)1/(lambda_(1))=R(1)^(2)(1-1/4)=(3R)/4`
For , `._(1)H^(2)1/(lambda_(2))=R(1)^(2)(1-1/4)=(3R)/4`
For `(._(3)Li^(6))^(++) 1/(lambda_(4))=R(3)^(2)(1-1/4)=(27R)/4 = 9/(lambda_(1))`
` :. lambda_(1)= lambda_(2)=4lambda_(3) = 9 lambda_(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Hydrogen (_(1)H^(1)) Deuterium (_(1)H^(2)) singly omised helium (_(1)He^(1)) and doubly ionised lithium (_(1)Li^(6))^(++) all have one electron around the nucleus Consider an electron transition from n = 2 to n = 1 if the wavelength of emitted radiartion are lambda_(1),lambda_(2), lambda_(3),and lambda_(4) , repectivelly then approximetely which one of the following is correct ?

Hydrogen (H) , deuterium (D) , singly ionized helium (He^(+)) and doubly ionized lithium (Li) all have one electron around the nucleus. Consider n = 2 to n = 1 transition. The wavelength of emitted radiations are lambda_(1), lambda_(2), lambda_(3) and lambda_(4) respectively. then approximately

Hydrogen H, deuterium D, singlyionized helium He^(+) and doubly ionized lithium L^(++) all have one electron around the nucleus. Consider n=2 and n=1 transition. Thewavelengths ofthe emitted radiations are lamda_(1),lamda_(2),lamda_(3) and lamda_(4) respectively. Then approximately:

The wavelength of electron waves in two orbits (lambda_(1) : lambda_(2))

The wavelength of the short radio waves, microwaves, ultraviolet waves are lambda_(1),lambda_(2) and lambda_(3) , respectively, Arrange them in decreasing order.

The wavelengths and frequencies of photons in transition 1,2 and 3 for hydrogen like atom are lambda_(1),lambda_(2),lambda_(3), v_(1),v_(2) and v_(3) respectively. Then:

The wavelengths of photons emitted by electron transition between two similar leveis in H and He^(+) are lambda_(1) and lambda_(2) respectively. Then :-

Two sound waves of wavelengths lambda_(1) and lambda_(2) (lambda _(2) gt lambda_(1)) produces n beats//s , the speed of sound is