Which two of the following five physical parameters have the same dimensions?1) Energy density2) refractive index3) dielectric constant4) Young's modulus5) Magnetic field from Physics Units and Measurement Class 11 Manipur Board
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Physics Part I

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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


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
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
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