If M = mass , L = length, T = time and I= electric current, then the dimensional formula for electrical resistance R is given by:

Question

If M = mass , L = length, T = time and I= electric current, then the dimensional formula for electrical resistance R is given by: (A) [R]=[M1 L2 T-3 I-2] (B) [R]=[M1 L2 T-3 I2] (C) [R]=[M1 L2 T1 I2] (D) [R]=[M-1 L2 T-3 I-2]

Tardigrade Admin · Accepted Answer

R=(V/I) (ohms law) R=(W/q I)=([M L2 T-2]/I T I) [R]=[M L2 T-3 I-2]

Q. If $M = ma ss, L =$ length, $T =$ time and $I =$ electric current, then the dimensional formula for electrical resistance $R$ is given by:

$[R] = [M^{1} L^{2} T^{- 3} I^{- 2}]$

$[R] = [M^{1} L^{2} T^{- 3} I^{2}]$

$[R] = [M^{1} L^{2} T^{1} I^{2}]$

$[R] = [M^{- 1} L^{2} T^{- 3} I^{- 2}]$

$R = \frac{V}{I}$ (ohms law)
$R = \frac{W}{q I} = \frac{[ M L ^{2} T ^{- 2} ]}{I T I}$
$[R] = [M L^{2} T^{- 3} I^{- 2}]$

Q. If M=mass,L= length, T= time and I= electric current, then the dimensional formula for electrical resistance R is given by:

[R]=[M1L2T−3I−2]

[R]=[M1L2T−3I2]

[R]=[M1L2T1I2]

[R]=[M−1L2T−3I−2]