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Assertion : The dimensional formula for ...

Assertion : The dimensional formula for product of resistance and conductance is same as for dielectric constant.
Reason : both have dimensions of time constant.

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false

D

If both assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
C
Both the quantities are dimensionless.
`"Resistance"xx"conductance"=Rxx1//R=(M^(0)L^(0)T^(0))=1` and Dielectric constant K is dimensionless.
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Knowledge Check

  • The dimensional formula for Boltzmann's constant is

    A
    `[ML^(2)T^(-2)theta^(-1)]`
    B
    `[ML^(2)T^(-2)]`
    C
    `[ML^(0)T^(-2)theta^(-1)]`
    D
    `[ML^(-2)T^(-1)theta^(-1)]`

  • The dimensional formula of Planks constant is

    A
    `[ML^(-3)T^(-1)]`
    B
    `[ML^(-2)T^(-1)]`
    C
    `[M^0L^(-1)T^(-3)]`
    D
    `[ML^2T^(-1)]`

  • The dimensional formula for stefan's constant 's' is

    A
    `M^(1)L^(0)T^(-3)K^(-4)`
    B
    `M^(1)L^(2)T^(-3)K^(-4)`
    C
    `M^(0)L^(0)T^(-3)K^(-4)`
    D
    `M^(1)L^(2)T^(-2)K^(-1)`

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