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Question: Answered & Verified by Expert
If the dimensional formula of '(Energy $\times$ speed $)$ ' is $\left[\mathrm{M}^{\mathrm{a}} \mathrm{L}^{\mathrm{b}} \mathrm{T}^{\mathrm{c}}\right]$ then $\mathrm{a}, \mathrm{b}$ and $\mathrm{c}$ are
PhysicsUnits and DimensionsAP EAMCETAP EAMCET 2022 (05 Jul Shift 2)
Options:
  • A $(1,3,-3)$
  • B $(1,2,2)$
  • C $(1,2,3)$
  • D $(1,3,-2)$
Solution:
1951 Upvotes Verified Answer
The correct answer is: $(1,3,-3)$
$[$ Energy $\times$ Speed $]=\mathrm{ML}^2 \mathrm{~T}^{-2} \times \mathrm{LT}^{-1}$
$=\mathrm{ML}^3 \mathrm{~T}^{-3}$
So, $a=1, b=3, C=-3$

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