Question

Dimensions of resistance in an electrical circuit, in. terms pf dimension of mass M, of length L, of time T and of current l, would be [AIPMT (Prelims)-2007) (1) [ML-T-31-2] (2) [MLPT-3H-] (3) [ML?T-] (4) [ML?T-1] ​

Answer 1

Answer:

[AIPMT (Prelims)-2007) (1) [ML-T-31-2] (2) [MLPT-3H-] (3) [ML?T-] (4) [ML?T

Answer 2

[ML²T^-³A^-²]

Explanation:

According to the Ohm's Law

• R = V/I Where V= Voltage, I= Current, R= Resistance

And we know,

• V= W/q Where W= Work, q= Charge

• q= It Where t= time

We know, W= F.S = m.a.S

So [W]= [ML²T^-²]

[q]= [A.T]

Hence, [V]= [ML²T^-³A^-¹]

Therefore the dimension of Resistance, R is

[R]= [ML²T^-³A^-¹]/[A]

= [ML²T^-³A^-²]