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The position of a particle moving on x -axis is given by \(\mathrm{x}(\mathrm{t})=\mathrm{Asint}+{\mathrm{Bcos}}^{2}\mat…

Q1

The position of a particle moving on x -axis is given by \(\mathrm{x}(\mathrm{t})=\mathrm{Asint}+{\mathrm{Bcos}}^{2}\mathrm{t}+{\mathrm{Ct}}^{2}+\mathrm{D}\), where \(t\) is time. The dimension of \(\frac{ABC}{D}\) is

[JEE Main 2025, 23 Jan (Shift 1)]

a

\({{}^{\text{ }}\mathrm{L}}^{3}{\mathrm{T}}^{-2}\)

b

\({L}^{2}\)

c

\({\mathrm{L}}^{2}{\mathrm{T}}^{-2}\)

d

\(L\)

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