The force F is given in terms of time t and displacement x by the equation `F=A cos Bx+Csin Dt`. The dimensions of `(D)/(B)` are

Options

A. `M^(@)L^(@)T^(@)`
B. `M^(@)L^(@)T^(-1)`
C. `M^(@)L^(-1)T^(@)`
D. `M^(@)L^(-1)T^(-1)`

Answer

D

Explanation

Since BX and Dt are dimensionless `[D]=T^(-1),[B]=L^(-1)," "[D/B]=L^(1)T^(-1)`