If $f:[2,3] \rightarrow R$ is defined by $f(x)=x^3+3x-2$, then the range of $f(x)$ is contained in the interval

Which one of the following ions is the most stable in aqueous solution? (At. No. $Ti = 22, V = 23, Cr = 24, Mn = 25$)

$A$ horizontal uniform glass tube of $100 \ cm$ length, sealed at both ends, contains a $10 \ cm$ mercury column in the middle. The initial temperature and pressure of air on either side of the mercury column are $31^{\circ} C$ and $76 \ cm$ of mercury, respectively. If the air column at one end is kept at $0^{\circ} C$ and the other end at $273^{\circ} C$, then the pressure of the air at $0^{\circ} C$ is (in $cm$ of $Hg$):

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

Two charges $q_1$ and $q_2$ are placed $30\,cm$ apart,as shown in the figure. $A$ third charge $q_3$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the system is $\frac{q_3}{4\pi \epsilon_0}k$,where $k$ is:

Which among the following complexes has square pyramidal geometry?