Question

2. [ML3 T-10-2] is the dimensional
formula is
O resistance
O resistivity
O conductance
O conductivity​

Answer 1

$\large{ \bf{\underline{Resistance} \: (R)}}$

• $\rm Formula \longrightarrow \dfrac{Potential \ difference}{Current}$
• $\rm Dimensional \ Formula \longrightarrow [ML^2T^{-3}A^{-2}]$
• $\rm SI \ Unit \longrightarrow \Omega$

$\large{ \bf{\underline{Resistivity/ Specific \ resistance} \: (\rho)}}$

• $\rm Formula \longrightarrow \dfrac{Resistance \times Area}{Length}$
• $\rm Dimensional \ Formula \longrightarrow [ML^3T^{-3}A^{-2}]$
• $\rm SI \ Unit \longrightarrow \Omega \: m$

$\large{ \bf{\underline{Conductance} \: (G)}}$

• $\rm Formula \longrightarrow \dfrac{ 1}{Resistance}$
• $\rm Dimensional \ Formula \longrightarrow [M ^{ - 1} L^{ - 2}T^{3}A^{2}]$
• $\rm SI \ Unit \longrightarrow \Omega ^{ - 1} / mho / S (siemen)$

$\large{ \bf{\underline{Conductivity/Specific \ conductance} \: ( \sigma)}}$

• $\rm Formula \longrightarrow \dfrac{ 1}{Resistivity }$
• $\rm Dimensional \ Formula \longrightarrow [M ^{ - 1} L^{ - 3}T^{3}A^{2}]$
• $\rm SI \ Unit \longrightarrow \Omega ^{ - 1} \: {m}^{ - 1}$

Answer 2

[ML3T-3A-2] is the dimensional formula of resistivity