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Q.

A: The number of degrees of freedom of a linear triatomic molecule is 5 at low temperatures.

R: The number of degrees of freedom depends on number of particle in the system

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a

Both A and R are true and R is the correct explanation of A

b

A is true but R is false

c

A is false and R is also false.

d

Both A and R are true but R is not the correct explanation of A

answer is B.

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Detailed Solution

At room temperature, a linear triatomic gas molecule possesses 3 degrees of freedom corresponding to translational motion and 2 degrees of freedom corresponding to rotational motion. Therefore, the degree of freedom of linear triatomic gas molecules at room temperature is equal to 5.

Degrees of freedom depends on the number of particles in the system as well as the orientation of the particles in the system. 

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