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The displacement of a particle as a function of time is given by:\(x(t)=A\sin ⁡(t)+B{\cos ⁡}^{2}(t)+C{t}^{2}+D\). Find t…

Q1

The displacement of a particle as a function of time is given by:\(x(t)=A\sin ⁡(t)+B{\cos ⁡}^{2}(t)+C{t}^{2}+D\).

Find the dimension of \(\frac{ABC}{D}\)

(Shift I Memory Based)

a

\(\left[{\mathrm{L}}^{2}\right]\)

b

\(\left[{\mathrm{L}}^{2}{\mathrm{T}}^{−2}\right]\)

c

\(\left[{\mathrm{LT}}^{−2}\right]\)

d

\(\left[{\mathrm{L}}^{3}\mathrm{T}\right]\)

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