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Units And Measurement

Question

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Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

[ M L² T^-3 I^-1]

[M L² T^-1]

[M L² T^-1 I^-1]

[M L² T^-3 I^-2 ]

Solution

D.

[M L² T^-3 I^-2 ]

Resistance

$R = \frac{[Dimensions of work]}{[Dimensions of charge] [Dimension of current]}$

$= \frac{[M L^{2} T^{- 2}]}{[I T] [I]}$

R = [ M L² T^-3 I^-2 ]

Some More Questions From Units and Measurement Chapter

Define unit.

What are the two main required characteristics of a unit?

Can we use same units for different physical quantities?

Can we use different units to measure same physical quantity?

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?

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