1.

Force F is given in terms of time \[t\] and distance \[x\] by F =A sin C\[t\] + B cos\[Dx\]. Then the dimensions of \[A/B\] and \[C/D\] are

A. \[[M_{{}}^{0}L_{{}}^{0}T_{{}}^{0}],[M_{{}}^{0}L_{{}}^{0}T_{{}}^{-1}]\]
B. \[[M_{{}}^{{}}L_{{}}^{{}}T_{{}}^{-2}],[M_{{}}^{0}L_{{}}^{-1}T_{{}}^{0}]\]
C. \[[M_{{}}^{0}L_{{}}^{0}T_{{}}^{0}],[M_{{}}^{0}L_{{}}^{{}}T_{{}}^{-1}]\]
D. \[[M_{{}}^{0}L_{{}}^{1}T_{{}}^{-1}],[M_{{}}^{0}L_{{}}^{0}T_{{}}^{0}]\]
Answer» D. \[[M_{{}}^{0}L_{{}}^{1}T_{{}}^{-1}],[M_{{}}^{0}L_{{}}^{0}T_{{}}^{0}]\]


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