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A particle moves with velocity
\[
v(t) = 3t^2 + 2t \ \text{m/s}.
\]
What is its acceleration at \(t = 2\,\text{s}\)?

sove $\sqrt{x}+5+\sin x=\frac{dy}{dx}$

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Consider a first order reaction: $A\to \text{products}$ . 3 different solutions are taken rate of reaction : Solution 1: $100mL~10M~'A' - r_{1}$ ; Solution 2: $200mL~10M~'A' - r_{2}$ ; Solution 3: $100mL~10M~'A' + 100ml~\text{water} - r_{3}$ . The correct order of the rates of reactions is :

Given below are two statements . Statement-I : $K_{H}$ is constant with change in concentration of gas till solution is dilute at given temperature . Statement II: According to Henry's Law, partial pressure of gas in vapour phase is inversely proportional to mole fraction of gas in solution .

In organic compound with molecular formula ($X$) $C_{8}H_{9}NO$ when reacts with $KOH/Br_{2}$ forms '$P$' which on diazotization forms '$Q$' followed by its reaction with $CuCN$ forms '$R$' which on hydrolysis (acidic) formed '$S$' ($S$ can also be made by hydrolysis of original compound ($X$) ($C_{8}H_{9}NO$). $S$ on reaction with $KMnO_{4}/H^{+}$ forms '$T$' which has two types of hydrogen $X$ will be :

Which of the following graph(s) is/are correct? ($P_{\text{gas}}$ vs $X_{\text{solvent}}$ is plotted) .

Which of the following is the correct order of the reactivity of given nucleophiles when treated with $CH_{3}$ in methanol? $F^{-}$, $I^{-}$, $C_{2}H_{5}O^{-}$, $C_{6}H_{5}O^{-}$ :

The $3d$-block element which does not liberate hydrogen gas on reaction with dilute $HCl$ is .

Statement-1: $\text{Phenol} + CHCL_{3} \xrightarrow{KOH} \text{major} + \text{minor}$. Major product is ortho substituted and para substituted product is minor . Statement-2: Ortho \& Para product can be separated by steam distillation .

Given below are two statements . Statement-1: $HX$ bond length is higher in $HCl$ than $HF$ . Statement-2: The lowest boiling point in hydride of group 15 element is having covalency 4 .

Calculate volume of $H_2$ gas at STP in $ml$. If $2.7~g$ of aluminium is treated with excess $HCl$. (Volume of 1 mole gas at $STP=22.4~L$) :

Find the energy to excite electron from first Bohr orbit of hydrogen atom to 2nd Bohr's orbit. (in $eV$) .

$XF_{3}$ (Lewis Acid), $YF_{3}$ (Lewis Base) . Hybridisation of $XF_{3}$, $YF_{3}$ respectively are :

Match the following and choose the correct option : \begin{tabular}{|l|l|} \hline List-1 & List-II \\ \hline (A) $[Ag(NH_{3})_{2}]^{+}$ & (i) Fehling's solution \\ \hline (B) $Zn-Hg/HCl$ & (ii) Clemmenson's reduction \\ \hline (C) $NH_{2}-NH_{2}/KOH$ & (iii) Tollen's reagent \\ \hline (D) $Cu^{2+}/OH^{-}$ & (iv) Wolff-Kishner reduction \\ \hline \end{tabular}