The solubility product of \(PbI _{2}\) is \(8.0 \times 10^{-9} .\) The solubility of lead iodide in \(0.1\) molar solution of lead nitrate is \(x \times 10^{-6} \,mol / L\). The value of \(x\) is ....... .(Rounded off to the nearest integer) \([\) Given \(: \sqrt{2}=1.41]\)

Which of the following acts as a strong reducing agent? (Atomic number : \(\mathrm{Ce}=58, \mathrm{Eu}=63\), \(\mathrm{Gd}=64, \mathrm{Lu}=71)\)

\(SO _{2} Cl _{2}\) on reaction with excess of water results into acidic mixture \(SO _{2} Cl _{2}+2 H _{2} O \rightarrow H _{2} SO _{4}+2 HCl\) \(16\,moles\) of \(NaOH\) is required for the complete neutralisation of the resultant acidic mixture. The number of moles of \(SO _{2} Cl _{2}\) used is.

The amount of oxygen in \(3.6\, moles\) of water is ............ \(\mathrm{g}\)

Type of amino acids obtained by hydrolysis of proteins is _______.

Identify the correct statements about alkali metals.
A. The order of standard reduction potential \(\left( M ^{+} \mid M \right)\) for alkali metal ions is \(Na > Rb > Li\).
B. CsI is highly soluble in water.
C. Lithium carbonate is highly stable to heat.
D. Potassium dissolved in concentrated liquid ammonia is blue and paramagnetic.
E. All alkali metal hydrides are ionic solids.
Choose the correct answer from the options given below

Choose the correct statements about the hydrides of group \(15\) elements. \(A\). The stability of the hydrides decreases in the order \(\mathrm{NH}_3>\mathrm{PH}_3>\mathrm{AsH}_3>\mathrm{SbH}_3>\mathrm{BiH}_3\) \(B\). The reducing ability of the hydrides increases in the order \(\mathrm{NH}_3<\mathrm{PH}_3<\mathrm{AsH}_3<\mathrm{SbH}_3<\mathrm{BiH}_3\) \(C\). Among the hydrides, \(\mathrm{NH}_3\) is strong reducing agent while \(\mathrm{BiH}_3\) is mild reducing agent. \(D\). The basicity of the hydrides increases in the order \(\mathrm{NH}_3<\mathrm{PH}_3<\mathrm{AsH}_3<\mathrm{SbH}_3<\mathrm{BiH}_3\)
Choose the most appropriate from the option given below.

The value of \(\left(\frac{1+\sin \frac{2 \pi}{9}+i \cos \frac{2 \pi}{9}}{1+\sin \frac{2 \pi}{9}-i \cos \frac{2 \pi}{9}}\right)^{3}\) is

Let the numbers \(2, b, c\) be in an \(A.P\) and \(A = \left[ {\begin{array}{*{20}{c}}
  1&1&1 \\ 
  2&b&c \\ 
  4&{{b^2}}&{{c^2}} 
\end{array}} \right]\). If \(det(A) \in [2,16]\) then \(c\) lies in the interval

The de-Broglie wavelength \(({\lambda _B})\)  associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground  state  \(({\lambda _G})\) by

Two vertical poles \(AB =15 m\) and \(CD =10 m\) are standing apart on a horizontal ground with points \(A\) and \(C\) on the ground. If \(P\) is the point of intersection of \(BC\) and \(AD ,\) then the height of \(P\) (in \(m\) ) above the line \(AC\) is 

The number of halogen/ \((\mathrm{s})\) forming halic \((\mathrm{V})\) acid is ..... .

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be: