MCQ
The dimensions of physical quantity $X$ in the equation Force $ = \frac{X}{{{\rm{Density}}}}$ is given by
- A${M^1}{L^4}{T^{ - 2}}$
- B${M^2}{L^{ - 2}}{T^{ - 1}}$
- ✓${M^2}{L^{ - 2}}{T^{ - 2}}$
- D${M^1}{L^{ - 2}}{T^{ - 1}}$
✓
Answer
Correct option: C.
${M^2}{L^{ - 2}}{T^{ - 2}}$
c
(c) $[X] = [F] × [\rho] $ $= [ML{T^{ - 2}}] \times \left[ {\frac{M}{{{L^3}}}} \right] $ $= [{M^2}{L^{ - 2}}{T^{ - 2}}]$
(c) $[X] = [F] × [\rho] $ $= [ML{T^{ - 2}}] \times \left[ {\frac{M}{{{L^3}}}} \right] $ $= [{M^2}{L^{ - 2}}{T^{ - 2}}]$
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