If the dimensional formula of '(Energy $\times$ speed $)$ ' is $\left[\mathrm{M}^{\mathrm{a}}…

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
  1. $(1,3,-3)$
  2. $(1,2,2)$
  3. $(1,2,3)$
  4. $(1,3,-2)$

Solution

$[$ Energy $\times$ Speed $]=\mathrm{ML}^2 \mathrm{~T}^{-2} \times \mathrm{LT}^{-1}$ $=\mathrm{ML}^3 \mathrm{~T}^{-3}$ So, $a=1, b=3, C=-3$

Asked in: AP EAMCET 2022 (05 Jul Shift 2)

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