In a plot of \(\log \left(\frac{x}{m}\right) v s \log p\), for the adsorption of a gas on solid, a straight line is obtained. The slope of that straight line is

Which one of the following compounds forms a quaternary salt on reacting with excess methyl iodide?

Molar enthalpy change for vapourisation of \(1.0 \mathrm{~mol}\) of water at \(1.0 \mathrm{bar}\) and \(100^{\circ} \mathrm{C}\) is \(41.0 \mathrm{~kJ} \mathrm{~mol}^{-1}\). If water vapour is assumed to be an ideal gas, the internal energy change for \(1.0 \mathrm{~g}\) of water in \(\mathrm{kJ}\) is

In the Daniell cell, \(\mathrm{Zn}\left|\mathrm{Zn}^{2+} \| \mathrm{Cu}^{2+}\right| \mathrm{Cu}\), when an external voltage is applied such that \(E_{\text {external }}>E_{\text {cell }}\), current flows from.........

The most effective coagulating agent for antimony sulphide sol is

The structure of PCC is

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

If \(a d-b c \neq 0\), then the area (in sq. units) of the parallelogram formed by the lines \(a x+b y+2=0, a x+b y+5=0, c x+d y+3=0\) and \(c x+d y+7=0\) is

If the circle \(x^2+y^2=a^2\) intersects the hyperbola \(x y=c^2\) in four points \(\left(x_i, y_i\right)\), for \(i=1,2,3\) and 4 , then \(y_1+y_2+y_3+y_4\) equals

If \(\tan \left(\frac{x}{2}\right)=\frac{m}{n}\), then the value of \(m\) \(\sin (x)+n \cos (x)\) is equal to

\(\alpha, \beta\) are the roots of \(x^2-10 x-8=0\) with \(\alpha>\beta\).
If \(\alpha_{\mathrm{n}}=\alpha^{\mathrm{n}}-\beta^{\mathrm{n}}\) for \(\mathrm{n} \in \mathbb{N}\), then the value of \(\frac{a_{10}-8 a_8}{5 a_9}\) is

\(\operatorname{cosec} 48^{\circ}+\operatorname{cosec} 96^{\circ}+\operatorname{cosec} 192^{\circ}+\operatorname{cosec} 384^{\circ}=\)

Choose the correct option about the matrices given below
\(\begin{aligned} & A=\left[\begin{array}{ccc}\cos \frac{\pi}{4} & \sin \frac{\pi}{4} & 0 \\ -\sin \frac{\pi}{4} & \cos \frac{\pi}{4} & 0 \\ 0 & 0 & 1\end{array}\right] \\ & B=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & \cos \frac{\pi}{3} & \sin \frac{\pi}{3} \\ 0 & -\sin \frac{\pi}{3} & \cos \frac{\pi}{3}\end{array}\right] \\ & C=\left[\begin{array}{ccc}\cos \frac{\pi}{6} & 0 & \sin \frac{\pi}{6} \\ 0 & 1 & 0 \\ -\sin \frac{\pi}{6} & \cos \frac{\pi}{6} & 0\end{array}\right]\end{aligned}\)
\(D=\left[\begin{array}{ccc}
\cos \frac{\pi}{2} & \sin \frac{\pi}{2} & 0 \\
-\sin \frac{\pi}{2} & \cos \frac{\pi}{2} & 0 \\
0 & 0 & 1
\end{array}\right]\)