Home
Class 12
PHYSICS
A molecule consists of two atoms each of...

A molecule consists of two atoms each of mass m and separated by a distance d. If K is the average rotational K.E. of the molecule at particular temperature, then its angular frequency is

A

`(2)/(d)sqrt((K)/(m))`

B

`(d)/(2)sqrt((K)/(m))`

C

`2dsqrt((m)/(K))`

D

`(d)/(4)sqrt((m)/(K))`

Text Solution

Verified by Experts

The correct Answer is:
A
The M.I. of the molecule `=m((d)/(2))^(2)+m((d)/(2))^(2)`
`therefore" "I=2m((d^(2))/(4))=(md^(2))/(2)`
The Rotational K.E. of the molecule (K) `=(1)/(2)Iomega^(2)`
The Rotational K.E. of the molecule `(K)=(1)/(2)Iomega^(2)`
`therefore omega=sqrt((2K)/(I))=sqrt((2K)/(md^(2))xx2)`
`therefore omega=sqrt((4K)/(md^(2)))=(2)/(d)sqrt((K)/(m))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

  • OSCILLATIONS

    MARVEL PUBLICATION|Exercise MCQ|368 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

Similar Questions

Explore conceptually related problems

The translational K.E. of the molecules of a gas at absolute temperature (T) can be doubled

The ratio of average translational K.E. and average rotational K.E. of a linear polyatomic molecule at temperature T is:

Average K.E. Of translation of a molecule of gas varies with temperature T of gas is

A diatomic molecule is madde of two masses m_(1) and m_(2) which are separated by a distance r . If we calculate its rotational energy by appliying Bohr's rule of angular momemtum quantization it energy will be ( n is an integer )

The temperature is changed from 27^@C to 327^@C Find ratio of K.E. of molecules at two temperatures.

On which factors does the average KE of gas molecules depend : nature of gas, its temperature , its volume?

The average K.E. of hydrogen molecules at 27 °C is E. The average K.E. at 327 °C is

Find the average momentum of molecules of hydrogen gas in a container at temperature 300K .

The average kinetic energy of the molecules of hydrogen is E. if the mass of oxygen molecules is 16 times that of hydrogen molecules, the average K.E. of an oxygen molecule at the same temperature is