Home
Class 12
PHYSICS
Hydrogen ("1^1H) deuterium ("1^2H), sing...

Hydrogen `("_1^1H)` deuterium `("_1^2H)`, singly ionised helium `("_2^4H)^+` and doubly ionised lithium `("_3^6Li)^(++)` all have one electron around the nucleus. Consider an electron transition from n=2 to n=1 . If the wavelengths emitted radiation are `lambda_1,lambda_2,lambda_3 and lambda_4` respectively then approximately which one of the following is correct?

A

`lambda_1=2lambda_2=3lambda_3=4lambda_4`

B

`4lambda_1=2lambda_2=2lambda_2=lambda_4`

C

`lambda_1=2lambda_2=2lambda_3=lambda_4`

D

`lambda_1=lambda_2=4lambda_3=9lambda_4`

Text Solution

Verified by Experts

The correct Answer is:
D
`1/(lambda)RZ(1/(f^2)-1/(i^2))=RZ^2(1/1^2-1/2^2)=3/4RZ^2`
`therefore lambda prop 1/Z^2`
For hydrogen , Z=1 , for deuterium, Z=1,
for helium ion Z=2 , for lithium ion ,Z=3
`therefore lambda_1 =lambda_2=4lambda_3 =9lambda_4`
Promotional Banner

Topper's Solved these Questions

  • ATOM

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (AIPMT)|2 Videos

  • ATOM

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)|3 Videos

  • ATOM

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBJEE)|6 Videos

  • ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|33 Videos

  • ATOMIC NUCLEUS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|14 Videos

Similar Questions

Explore conceptually related problems

The electronic transition from n=2 to n=1 will produce shortest wavelength in (where n= principal quantum number)

The electronic transition from n=2 to n=1 will produce shortest wavelength in (where n=principal quantum state)-

Wavelengths of visible light, X-rays and infrared rays are lambda_1,lambda_2 and lambda_3 , respectively. Arrange them in ascending order of their magnitudes.

Three ascending energy states of an atom are A,B,C. The wavelengths of emitted radiations due to transition from C to B and from B to A are lambda_1 and lambda_2 respectively. What will be the wavelength of emitted radiation due to transition from C to A ?

If the electron in a hydrogen atom jumps from an orbit with level n_(1)=2 to an orbit with level n_(2)=1 the emitted radiation has a wavelength given by

If veca and vecb are two unit vectors perpenicualar to each other and vecc= lambda_(1)veca+ lambda_2 vecb+ lambda_(3)(vecaxx vecb), then which of the following is (are) true ?

If two members of family (2+lambda)x+(1+2lambda)y-3(1+lambda) = 0 and line x+y=0 make an equilateral triangle, the the incentre of triangle so formed is

The ionisation enthalpy of hydrogen atom is 1.312xx10^(6)J*mol^(-1) . The energy required to excited the electron in the atom from n=1 to n=2 is-

The frequency of light emitted for the transition n=4 to n=2 of He^+ is equal to the transition in H atom corresponding to which of the following?