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Units And Measurement

Question
CBSEENPH11020762
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Which two of the following five physical parameters have the same dimensions?

1) Energy density
2) refractive index
3) dielectric constant
4) Young's modulus
5) Magnetic field

  • 2 and 4

  • 3 and 5

  • 1 and 4

  • 1 and 5

Solution

C.

1 and 4

1 right parenthesis space Energy space equals space Energy over Volume 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 straight L cubed right square bracket end fraction space equals space left square bracket ML to the power of negative 1 end exponent straight T to the power of negative 2 end exponent right square bracket 2 right parenthesis space Refractive space index space hole space no space dimesions. 3 right parenthesis space Dielectric space constant space has space no space dimensions. 4 right parenthesis space Young apostrophe straight s space modulus comma straight Y space equals space fraction numerator Fl over denominator straight A increment straight l end fraction space equals space fraction numerator left square bracket MLT to the power of negative 2 end exponent right square bracket left square bracket straight L right square bracket over denominator left square bracket straight L squared right square bracket left square bracket straight L right square bracket end fraction space equals space left square bracket ML to the power of negative 1 end exponent straight T to the power of negative 2 end exponent right square bracket 5 right parenthesis space Magnetic space field comma straight B space equals space fraction numerator straight F over denominator straight I l end fraction space equals space fraction numerator left square bracket MLT to the power of negative 2 end exponent right square bracket over denominator left square bracket straight A right square bracket left square bracket straight L right square bracket end fraction space equals space left square bracket MT to the power of negative 2 end exponent straight A to the power of negative 1 end exponent right square bracket

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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