Question

Select One Correct Option from the following: The position vector $\vec{r}$ of a particle of mass m is given by the equation $\vec{L}=\alpha t^{3}\hat{i}+\beta t^{2} \hat{j}$ where $\alpha =10/3 m/s^{2} ,\beta = 5 m/s^{2}$ and m = 0.1 kg. At t = 1 s, which the following statement(s) is(are) true about the particle?
(A) The velocity $\vec{\upsilon}$ is given by $\vec{\upsilon}=(10\hat{i}+10\hat{j}) m/s$.
(B)The angular momentum$\vec{L}$ with respect to the origin is given by$\vec{L}=-5/3\hat{k} N-m-s$.
(C)The force $\vec{F}$ is given by $\vec{F} =(\hat{i}+2\hat{j}) N$.
(D)The torque $\vec{T}$ with respect to the origin is given $\vec{T} =-20/3 \hat{k} N-m$.

Answer 1

d option is correct.
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