\(0.765 \mathrm{~g}\) of an acid gives \(0.535 \mathrm{~g}\) of \(\mathrm{CO}_2\) and \(0.13 \mathrm{~g} \mathrm{of}_2 \mathrm{O}\), then ratio of percentage of \(\mathrm{C}\) and \(\mathrm{H}\) is

The number of linear and crosslinked polymers in the following respectively are
Novolac, Nylon 6,6, Bakelite, PVC, melamine

The number of unit cells present in \(39 \mathrm{~g}\) of potassium if it crystallizes as body centred cube is ( \(N=\) Avogadro number, At. wt. of potassium \(=39\) )

At \(300 \mathrm{~K}, 6 \mathrm{~g}\) of urea was dissolved in 500 mL of water. What is the osmotic pressure (in atm) of resultant solution?
\(\begin{aligned}
& \left(R=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right) \\
& (\mathrm{C}=12 ; \mathrm{N}=14 ; O=16 ; \mathrm{H}=1)
\end{aligned}\)

The configurations of the complexes of manganese A, B respectively are \(t_{2 g}^3 e_g^1, t_{2 g}^4 e_g^0\). Then \(A, B\) are

For a reaction, \(\mathrm{A}_{(\mathrm{s})}+2 \mathrm{~B}_{(\mathrm{aq})}^{+} \rightleftharpoons \mathrm{A}_{(\mathrm{aq})}^{2+}+2 \mathrm{~B}_{(\mathrm{s})} \mathrm{K}_{\mathrm{c}}\) is \(10^{12}\) at \(25^{\circ} \mathrm{C}\). The \(\mathrm{E}_{\text {Cell }}^{\circ}\) of the corresponding cell is \(\left(\mathrm{F}=96500 \mathrm{C} \mathrm{mol}^{-1}\right)\)

From the following data at \(25^{\circ} \mathrm{C}\), calculate the \(\Delta_{\mathrm{r}} \mathrm{H}^0\) for \(\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g})+\mathrm{O}(\mathrm{g})\)
reaction: \(\Delta_{\mathrm{r}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)\)
\[
\begin{array}{ll}
\frac{1}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{OH}(\mathrm{g}) & 42.09 \\
\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g}) & -242 \\
\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) & 436 \\
\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{O}(\mathrm{g}) & 496
\end{array}
\]

In the preparation of baking soda, ${\mathrm{H}}_2\mathrm{O}$ and ${\mathrm{CO}}_2$ in ratio is used to react with ${\mathrm{Na}}_2{\mathrm{CO}}_3$.

The function \(f: \mathbf{R} \rightarrow \mathbf{R}\) defined by \(f(x)=\frac{x}{\sqrt{1+x^2}}\) is ........

When a wire is connected in the left gap of a metre bridge, the balancing point is at 40 cm from the left end of the bridge wire. If the wire in the left gap is stretched so that its length is doubled and again connected in the same gap, then the balancing point from the left end of the bridge wire is

The sum of the order and degree of the differential equation \(\frac{d^4 y}{d x^4}=\left\{c+\left(\frac{d y}{d x}\right)^2\right\}^{\frac{3}{2}}\) is

Consider the following statements \(A\) and \(B\) identify the correct answer given below :
(A) A body initially at rest is acted upon by a constant force. The rate of change of its kinetic energy varies linearly with time
(B) When a body is at rest, it must be in equilibrium.

Number of unit vectors of the form $a\hat{\mathrm{i}}+b\hat{\mathrm{j}}+c\hat{\mathrm{k}},$ where $a, b, c\in W$ is