AP EAMCET · PHYSICS · Units and Dimensions
\(\mathrm{E}, \mathrm{m}, \mathrm{L}, \mathrm{G}\) represent energy, mass. angular momentum and gravitational constant respectively. The dimensions of \(\frac{\mathrm{EL}^2}{\mathrm{~m}^5 \mathrm{G}^2}\) will be that of
- A Angle
- B Length
- C Mass
- D Time
Answer & Solution
Correct Answer
(A) Angle
Step-by-step Solution
Detailed explanation
\(\left[\frac{\mathrm{EL}^2}{\mathrm{~m}^5 \mathrm{G}^2}\right]=\frac{\left[\mathrm{mL}^2 \mathrm{~T}^{-2}\right]\left[\mathrm{mL}^2 \mathrm{~T}^{-1}\right]^2}{\left[\mathrm{~m}^5\right]\left[\mathrm{m}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]^2}\)…
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