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If L and R denote inductance and resista...

If L and R denote inductance and resistance respectively, then the dimension of `L//R` is :

A

`M^(0) L^(0)T^(-1)`

B

`M^(0) LT^(0)`

C

`M^(0) L^(0)T`

D

Cannot be represented in terms of M, L and T

Text Solution

Verified by Experts

The correct Answer is:
C
`L/R` = time constant
`L/R=(EMF)/((dI//dt)/(V//I))=t`
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Knowledge Check

  • If L and R denote inductance and resistance , respectively , then the dimensions of L//R are

    A
    ` M^(1) L^(0) T^(0) Q^(-1)`
    B
    ` M^(0) L^(0) T Q^(0)`
    C
    ` M^(0) L^(1) T^(-1) Q^(0)`
    D
    ` M^(-1) L T^(0) Q^(-1)`

  • If C and L denote capacitance and inductance respectively, then the dimensions of LC are

    A
    `M^(0)L^(0)T^(0)`
    B
    `M^(0)L^(0)T^(2)`
    C
    `M^(2)L^(0)T^(2)`
    D
    `MLT^(2)`

  • If L,C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C^(2)LR is

    A
    `[ML^(-2)T^(-1)I^(0)]`
    B
    `[M^(0)L^(0)T^(3)I^(0)]`
    C
    `[M^(-1)L^(-2)T^(6)I^(2)]`
    D
    `[M^(0)L^(0)T^(2)I^(0)]`