Let force F=A (C t)+B (D x) where x and t are displacement and time respectively. The dimensions of C D are same as dimensions of

Step-by-step solution

F = A Ct + B Dx Since the argument of trigonometric functions is the angle, which is dimensionless aligned & [ Ct ]= M ⁰ ~L ⁰ ~T ⁰ & [ CT ¹ ]= M ⁰ ~L ⁰ ~T ⁰ & [ C ]= T ⁻¹...(1) aligned Similarly aligned &[ Dx ]= M ⁰ ~L ⁰ ~T ⁰ & [ DL ¹ ]= M ⁰ ~L ⁰ ~T ⁰ &[ D ]= L ⁻¹...(2) aligned