Question

Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of `("L"/"R")` are ____________.

विकल्प

• `["L"^0 "M"^0 "T"^1]`

• `["L"^0 "M"^0 "T"^0]`

• `["L"^1 "M"^0 "T"^1]`

• `["L"^0 "M"^1 "T"^0]`

Answer 1

Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of `("L"/"R")` are `["L"^0 "M"^0 "T"^1]`.

Explanation:

`e = "L" "di"/"dt"       therefore "e.dt"/"di"`

`"R" = "e"/"i"`

`therefore "L"/"R" = "e" "dt"/"di" xx "i"/"e"`

`therefore "L"/"R"  "will have dimensions of time"`