VITEEE 2023

A ball is allowed to fall from a height of \(10 \mathrm{~m}\). If there is \(30 \%\) loss of energy due to impact, then after one impact ball will go up to.

\(\mathrm{MnO}_4^{-}\) is good oxidising agent in different medium changing to

$$\mathrm{MnO}_4^{-} \rightarrow \mathrm{Mn}^{2+} \rightarrow \mathrm{MnO}_4^{2-} \rightarrow \mathrm{MnO}_2 \rightarrow \mathrm{Mn}_2 \mathrm{O}_3$$

Change in oxidation number respectively are :

If matrix \(A=\left[\begin{array}{ccc}0 & 2 b & -2 \\ 3 & 1 & 3 \\ 3 a & 3 & -1\end{array}\right]\) is given to be symmetric, then the value of \(a b\) is

Six persons A, B, C, D, E and F are sitting in a row. A and F are sitting at two extreme ends of the row. B is to the immediate right of A and D is 2nd left of F. What is the position of E with respect to A ?

I. \(\mathrm{E}\) is to the right of \(\mathrm{A}\).

II. \(\mathrm{E}\) is to the left of \(\mathrm{C}\).

What is '\(\mathrm{I}\)' in the above lines?

A geostationary satellite revolves around the Earth in a circular orbit of radius \(4 R\). Here, $R$ is the radius of the Earth. Then, the time period of another satellite moving in a circular orbit of radius \(2 R\) is: