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Units And Measurement

Question

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The physical quantity having the dimensions [ M^-1 L^-3 T³ A² ] is

resistance

resistivity

electrical conductivity

electromotive force

Solution

C.

electrical conductivity

Resistivity $ρ = \frac{m}{{ne}^{2} τ}$

$∵ |ρ| = \frac{[M]}{[L^{- 3}] {[AT]}^{2} [T]}$

= [ M L³ A^-2 T^-3 ]

So, electrical conductivity

σ = $\frac{1}{ρ}$

[ σ ] = $\frac{1}{[σ]}$

= [M^-1 L^-³ A² T³ ]

Some More Questions From Units and Measurement Chapter

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

Name the fundamental quantities of mechanics.

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