AP EAMCET · PHYSICS · Units and Dimensions
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
- A \((1,3,-3)\)
- B \((1,2,2)\)
- C \((1,2,3)\)
- D \((1,3,-2)\)
Answer & Solution
Correct Answer
(A) \((1,3,-3)\)
Step-by-step Solution
Detailed explanation
\([\) 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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