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TS EAMCET · Physics · Units and Dimensions

Force \(F\) is given by the equation \(F=\frac{X}{\text { Linear density }}\). Then dimensions of \(X\) are

  1. A \(\left[\mathrm{M}^2 \mathrm{~L}^0 \mathrm{~T}^{-2}\right]\)
  2. B \(\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^{-1}\right]\)
  3. C \(\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]\)
  4. D \(\left[\mathrm{M}^0 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]\)
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Answer & Solution

Correct Answer

(A) \(\left[\mathrm{M}^2 \mathrm{~L}^0 \mathrm{~T}^{-2}\right]\)

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Detailed explanation

\(F=\frac{X}{\text { Linear density }}\) Dimension of \(F=\left[\mathrm{MLT}^{-2}\right]\) Dimension of linear density \(=\left[\mathrm{ML}^{-1}\right]\)…
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