STANDARD Physics Dimensional Analysis MCQ Question
A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. What will be value of 5 J in this new system?
5αβ²γ⁻²
5α⁻¹β⁻²γ²
5α⁻²β⁻¹γ⁻²
5α⁻¹β²γ²
Correct Answer
Detailed Explanation
Joule is a unit of energy. The dimensional formula of energy is [ML²T⁻²]. By comparing with the new units, we find that the value of 5 J in the new system is 5α⁻¹β⁻²γ².
Found an issue with this question?
Related Questions
More from Units and Measurements
Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm. Keeping the significant figures in view, the density of the material of the c...
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be
More from
Which of the following equations for a physical quantity is dimensionally consistent?
A diagram shows a number represented as 0.0045060. How many significant figures does this number have?
Match Column-I with Column-II. Column-I Column-II (a) Surface area of a cube (i) 1.688 g/cm³ (b) Volume of a cube (ii) 373.7 m³ (...