TS EAMCET 2020 (Online) 11th September Evening Shift

The dimension of angular momentum in mass $(M)$, length $(L)$ and time $(T)$ is

How much volume of 1 N aqueous solution of $\mathrm{H}_2 \mathrm{SO}_4$ should be taken, which will contain 0.2 moles of $\mathrm{H}_2 \mathrm{SO}_4$ ?

The number of points $z$ on the Argand plane which satisfy the conditions $\operatorname{Re}\left(\frac{z-2}{z-4 i}\right)=0$ and $\lim \left(\frac{z-2}{z-4 i}\right)=1$ simultaneously is

A particle of mass $m=1 \mathrm{~kg}$ moves in the $x y$-plane. The force on it at time $t$ is $F(t)=[2 \sin (\alpha t) \hat{\mathbf{i}}+3 \cos (\alpha t) \hat{\mathbf{j}}] \mathrm{N}$, where $\alpha=1 \mathrm{~s}^{-1}$. At time $t=0$, the particle is at rest at the origin. Calculate the magnitude of its position vector $\mathbf{r}$ (in m ) and velcoity vector $\mathbf{v}$ (in m/s) at time $t=\frac{\pi}{2} \mathrm{~s}$.

The maximum number of possible electrons in a subshell with $n=3$ and $l=2$ is

If $(\sqrt{3}+i)^{10}=a+b i, a, b \in \mathbf{R}$, then the values of $a$ and $b$ are respectively