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) \[[M_{{}}^{0}L_{{}}^{1}T_{{}}^{-1}],[M_{{}}^{0}L_{{}}^{0}T_{{}}^{0}]\]
Correct Answer: C
Solution :
[c] \[\frac{A}{B}=\frac{Force}{Force}=[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] Ct = angle\[\Rightarrow \]\[C=\frac{Angle}{Time}=\frac{1}{T}={{T}^{-1}}\] Dx = angle\[\Rightarrow \] \[D=\frac{Angle}{Dis\tan ce}=\frac{1}{L}={{L}^{-1}}\] \[\therefore \,\frac{C}{D}=\frac{{{T}^{-1}}}{{{L}^{-1}}}=[{{M}^{0}}L{{T}^{-1}}]\]
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