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Degree of Freedom

A system cons...

Question

A system consists of N particles, which have independent K relations among one another. The number of degrees of freedom of the system is given by :

A

3 NK

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B

N/3K

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C

3 N/K

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D

3N - K

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Solution

The correct option is D 3N - K
For a system of N particles having K independent relations among them, the degrees of freedom of the system is given by 3N-K. 3N is due to three degrees of freedom associated with each particle if all the particles are independent of each other (i.e K=0) and due to K relation among them, degrees of freedom reduces to 3N-K
Hence, Option D is correct.

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