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According to the law of equipartition of...

According to the law of equipartition of energy, the energy associated with each degree of freedom is :

A

`E=k_(B)T`

B

`E=(1)/(2)k_(B)T`

C

`E=3k_(B)T`

D

`E=(3)/(2)k_(B)T`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The energy associated with each degree of freedom of a molecule

    A
    1/2RT
    B
    1/2 KT
    C
    3/2 RT
    D
    3/2KT
  • According to the law of conservation of energy

    A
    energy exists in only one form
    B
    energy can be created but not destroyed, and it can be transformed from one form to another
    C
    energy exists in many forms but it cannot be transformed
    D
    energy can neither be produced nor be destroyed and it can be transformed from one to another form.
  • According to law of equal distribhution of energy the mean energy of a molecule per degree of freedom is :

    A
    ` (1)/(2) KT`
    B
    ` KT`
    C
    ` (3)/(2) KT`
    D
    ` (5)/(2) KT `
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    Assertion: Each vibrational mode gives two degrees of freedom. Reason: By law of equipartition of energy, the energy for each degree of freedom in thermal equlibrium is 2k_(B)T.