Question

Ans fast______Plzzzzz Dimension of resistivity..... Plzzzzzz ANS._____-___

Answer 1

Resistance is defined as

R= resistivity ×( length /area)

Here Resistance is in - ohm

Length in - metres

And area in - metre²

On rearranging, we get

Resistivity = R× ( area/ length )

Keeping the units we get the units of Resistivity as - ohm metre.

So the dimensions are - M¹ L³ / Ampere² S¹.

As , V=IR

Therefore, R= V/I.

Putting the units Of potential difference in Joule/coulomb and current in Ampere.

Units of Joule - Mass¹ Length ² Sec^-2.

Coulomb - Ampere/sec

Dimensions of Resistance become- M L² / A² S.

So the units become - M¹ L³ / A² S.

Hope this helps!

Thank you :)