Consider the four gases hydrogen, oxygen...

Consider the four gases hydrogen, oxygen, nitrogen and helium at the same temperature. Arrange them in the increasing order of the de Broglie wavelengths of their molecules.

A

Hydrogen, helium, nitrogen, oxygen

B

Oxygen, nitrogen, hydrogen, helium

C

Oxygen, nitrogen, helium, hydrogen

D

Nitrogen, oxygen, helium, hydrogen

Text Solution

Verified by Experts

The correct Answer is:

C

`lamda=h/(sqrt(2mE))=h/(sqrt(3mk_BT))`
`lamda prop 1/sqrtm" as " m_(O_2)gt m_(N_2) gt m_(H_e)gt m_(H_2)`
`lamda_(O_2)ltlamda_(N_2)lt lamda_(He)lt lamda_(H_2)`

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