A) torque and work
B) momentum and Planck's constant
C) stress and Young's modulus
D) speed and \[{{({{\mu }_{0}}-{{\varepsilon }_{0}})}^{-1/2}}\]
Correct Answer: B
Solution :
| [b] Planck's constant |
| \[(h)=J-s=[M{{L}^{2}}{{T}^{-2}}]\,\,[T]=[M{{L}^{2}}{{T}^{-1}}]Mo\] |
| mentum (p) = kg-\[m-{{s}^{-1}}\] |
| The torque and work are the product of distance and force, so they have same dimensions. The Young's modulus is the ratio of stress and strain in which strain is dimensionless, so stress and Young's modulus have the same dimensions Also, the speed (or velocity) of electromagnetic wave is given by \[({{\mu }_{0}}{{E}_{0}})\]. |
| So, these two quantities have same dimensions |
| \[=[M]\,\,[L]\,\,[{{T}^{-1}}]=[ML{{T}^{-1}}]\] |
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