Q.

The position of a particle moving on x-axis is given by x(t) = A sin t + cos2t + Ct2+ D, where t is time. The dimension of ABCD is          [2025]

1 L  
2 L3T2  
3 L2T2  
4 L2  

Ans.

(3)

Dimension [x(t)] = [L]

[A] = [L]

[B] = [L]

[C] = [LT2]

[D] = [L]

[ABCD]=[L×L×LT2L]=[L2T2]