Q121 / 160 · AP EAMCET 2024 (20 May Shift 1) · Physics

$\mathrm{E}, \mathrm{m}, \mathrm{L}, \mathrm{G}$ 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

  • Correct answer
    A
    Angle
  • B
    Length
  • C
    Mass
  • D
    Time

Solution

$\left[\frac{\mathrm{EL}^2}{\mathrm{~m}^5 \mathrm{G}^2}\right]=\frac{\left[\mathrm{mL}^2 \mathrm{~T}^{-2}\right]\left[\mathrm{mL}^2 \mathrm{~T}^{-1}\right]^2}{\left[\mathrm{~m}^5\right]\left[\mathrm{m}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]^2}$ $=\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]=[$ Angle $]$

Hence, the correct answer is option: 'A'.

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