Which of the following amine cannot be prepared by the Gabriel phthalimide synthesis method?

White phosphorus, when heated with conc. $\mathrm{NaOH}$ solution in an inert atmosphere of ${\mathrm{CO}}_2$, forms phosphine and a sodium salt of oxoacid of phosphorus, $\text{'}\mathrm{X}\text{'}$. The oxidation state of phosphorus in $\text{'}\mathrm{X}\text{'}$ is

For ammonia formation from constituent elements, the expression for \(\mathrm{K}_{\mathrm{C}}\) is

In the reaction \(2 \mathrm{I}^{-}(\mathrm{aq})+\mathrm{H}_2 \mathrm{O}(l)+\mathrm{O}_3(\mathrm{~g}) \rightarrow 2 \mathrm{OH}^{-}(\mathrm{aq})+\mathrm{I}_2(\mathrm{~s})+\mathrm{O}_2(\mathrm{~g})\), ozone acts as

Which of the following statements are correct?
I. In nitrating mixture nitric acid participates as an acid.
II. \(\sigma\) complex is the intermediate substance in electrophilic substitution of benzene.
III. Benzene on Friedel-Crafts alkylation with n-propyl chloride gives isopropyl benzene.

Identify the incorrect statement

Using the standard electrode potentials given below identify the correct statements from the following.
\[
\begin{aligned}
\mathrm{Fe}^{2+}+2 e^{-} \longrightarrow \mathrm{Fe} ; E^{\circ} & =-0.44 \mathrm{~V} \\
\mathrm{Cu}^{2+}+2 e^{-} \longrightarrow \mathrm{Cu} ; E^{\circ} & =+0.34 \mathrm{~V} \\
\mathrm{Ag}^{+}+e^{-} \longrightarrow \mathrm{Ag} ; E^{\circ} & =+0.80 \mathrm{~V}
\end{aligned}
\]
(i) Copper can displace iron from \(\mathrm{FeSO}_4\) solution.
(ii) Iron can displace copper from \(\mathrm{CuSO}_4\) solution.
(iii) Silver can displace copper from \(\mathrm{CuSO}_4\) solution.
(iv) Iron can displace silver from \(\mathrm{AgNO}_3\) solution.

Given figure shows the north and south poles of a permanent magnet in which a coil of \(n\) turns of cross-sectional area \(A\) is resting, such that when a current \(I\) is passed through the coil, the plane of the coil makes and angle \(\theta\) with respect to direction of magnetic field \(B\). If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

In $∆ABC,A=75°,B=45°$ then the value of $b+c\sqrt{2}=$

Identify correct statements from the following:
i. Beryllium oxide is an amphoteric oxide.
ii. Group II elements dissolve in liquid ammonia to form deep blue-black solutions.
iii. The hydration enthalpy of group II ions decreases from \(\mathrm{Be}^{2+}\) to \(\mathrm{Ba}^{2+}\).

Match Column A (layers in the ionosphere for skywave propagation) with Column B (their height range)


\(\begin{array}{llll}\mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D}\end{array}\)

Two circles each of radius $5$ units touch each other at $(1,2)$ and $4x+3y=10$ is their common tangent. The equation of that circle among the two given circles, such that some portion of it lies in every quadrant is

\(\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]\) is equal to