question_answer

The time dependence of the position of a particle of mass \[m=2\]is given by \[\vec{r}(t)=2t\hat{i}-3{{t}^{2}}\hat{j}.\] Its angular momentum, with respect to the origin, at time \[t=2\]is :                   [JEE Main 10-4-2019 Afternoon]

A)  \[36\hat{k}\]                

B)       \[-34(\hat{k}-\hat{i})\]

C)  \[48(\hat{i}+\hat{j})\]  

D)       \[-48\hat{k}\]

Correct Answer: D

Solution :

[d]