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If q= q(0)(1- epsilon^((-)/(RC))]here q ...

If `q= q_(0)(1- epsilon^((-_)/(RC))]`here q = electron change R = electric resistence ,C = electric capacitance , The dimensional formula for `square`are

A

`[A^(-1)MLT^(-2)]`

B

`[AM^(0)L^(0)T^(-1)]`

C

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

D

`[M^(0)L^(0)T^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
c
`[RC]` is time constant `= [M^(0)L^(0)T]`
Expoent have no dimensions ,
`:. ("square")/(RC)= [M^(0)L^(0)t^(0)] rArr squre = [M^(0)L^(0)t]`
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Knowledge Check

  • If C and R denote capacitance and resistance dimensional formula of CR is:

    A
    `[M^0 L^0 T^1]`
    B
    `[M^0 L^0 T^0]`
    C
    `[M^0 L^0 T^(-1)]`
    D
    Not expressible in terms of MLT

  • If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

    A
    `[ML^(0)L^(0)T]`
    B
    `[M^(0)L^(0)T^(0)]`
    C
    `[M^(0)L^(0)T^(-1)]`
    D
    Not expressible in terms of `[MLT]`

  • C and R denote the capacitance and resistance respectively. What is the dimensional formula of CR?

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

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