The position of a particle moving on x -axis is given by x ( t ) = A sin t + B cos 2 t + C t 2 + D , where t is time. The dimension of D A BC is

Question

The position of a particle moving on x -axis is given by x ( t ) = A sin t + B cos 2 t + C t 2 + D , where t is time. The dimension of D A BC ​ is

TestHub · Accepted Answer

​ Dimension [ x ( t )] = [ L ] [ A ] = [ L ] [ B ] = [ L ] [ C ] = [ LT − 2 ] [ D ] = [ L ] [ D ABC ​ ] = [ L L × L × LT − 2 ​ ] = [ L 2 T − 2 ] ​

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