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

[ML²T^-3I^-1]

[ML²T^-2]

[ML²T^-1I^-1]

[ML²T^-3I^-2]

Solution

[ML²T^-3I^-2]

Resistance
$straight R space equals space fraction numerator potential space difference over denominator current end fraction space equals space straight V over straight i space equals space straight W over qi left parenthesis therefore space potnetial space difference space is space equal space to space work space done space per space unit space charge right parenthesis equals space fraction numerator left square bracket Dimensions space of space work right square bracket over denominator left square bracket Dimensions space of space charge right square bracket left square bracket Dimensions space of space current right square bracket end fraction space equals space fraction numerator left square bracket ML squared straight T to the power of negative 2 end exponent right square bracket over denominator left square bracket IT right square bracket left square bracket straight I right square bracket end fraction space equals space left square bracket ML squared straight T to the power of negative 3 end exponent straight I to the power of negative 2 end exponent right square bracket$

Some More Questions From Units and Measurement Chapter

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Units And Measurement

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

[ML²T^-3I^-1]

[ML²T^-2]

[ML²T^-1I^-1]

[ML²T^-3I^-2]

Some More Questions From Units and Measurement Chapter

Define physical quantity.

Give four examples of physical quantities.

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?

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Units And Measurement

Dimensions of resistance in an electrical circuit, in terms of the dimension of mass M, of length L, of time T and of current I, would be: [ML2T-3I-1] [ML2T-2] [ML2T-1I-1] [ML2T-3I-2]

Some More Questions From Units and Measurement Chapter

Define physical quantity.

Give four examples of physical quantities.

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

[ML²T^-3I^-1]

[ML²T^-2]

[ML²T^-1I^-1]

[ML²T^-3I^-2]