The mass of \(NH _3\) produced when \(131.8\,kg\) of cyclohexanecarbaldehyde undergoes Tollen's test is \(.....kg\). (Nearest Integer) Molar Mass of \(C =12\,g / mol\) \(N =14\,g / mol\) \(O =16\,g / mol\)

The solubility product of a sparingly soluble salt \(A _{2} X _{3}\) is \(1.1 \times 10^{-23}\). If specific conductance of the solution is \(3 \times 10^{-5} \,S\, m ^{-1}\), the limiting molar conductivity of the solution is \(x \times 10^{-3} \,S\, m ^{2}\, mol ^{-1}\). The value of \(x\) is ...

Match List I with List II

List - I Type	List - II Name
A. Antifertility drug	I. Norethindrone
B. Tranquilizer	II. Meprobomate
C. Antihistamine	III. Seldane
D. Antibiotic	IV. Ampicillin

Choose the correct answer from the options given below :

Iodine reacts with concentrated \(HNO_3\) to yield along with other products. The oxidation state of iodine in \(Y\) is

Which of the following electronic configuration would be associated with the highest magnetic moment?

"A" obtained by Ostwald's method involving air oxidation of \(NH _3\), upon further air oxidation produces "B". "B" on hydration forms an oxoacid of Nitrogen along with evolution of "A". The oxoacid also produces "A" and gives positive brown ring test

\(NaOH\) is a strong base. What will be \(pH\) of \(5.0 \times 10^{-2}\,M\) \(NaOH\) solution \((log\,2 = 0.3)\)

If for \(x, y \in {R}, x>0,\) \(y=\log _{10} x+\log _{10} x^{1 / 3}+\log _{10} x^{1 / 9}+\ldots . .\) upto \(\infty\) terms and \(\frac{2+4+6+\ldots+2 \mathrm{y}}{3+6+9+\ldots+3 \mathrm{y}}=\frac{4}{\log _{10} \mathrm{x}}\), then the ordered pair \((x, y)\) is equal to :

The integral \(\int_{-1}^{\frac{3}{2}}\left(\left|\pi^2 x \sin (\pi x)\right|\right) d x\) is equal to:

Let \(a, b \in R\) be such that the equation \(a x^{2}-2 b x+15=0\) has a repeated root \(\alpha\). If \(\alpha\) and \(\beta\) are the roots of the equation \(x^{2}-2 b x+21=0\), then \(\alpha^{2}+\beta^{2}\) is equal to

Let \(S=\{\theta \in[0,2 \pi): \tan (\pi \cos \theta)+\tan (\pi \sin \theta)=0\}\). Then \(\sum_{\theta \in S } \sin ^2\left(\theta+\frac{\pi}{4}\right)\) is equal to

Given below are two statements:
Statement I: In the oxalic acid vs \(\mathrm{KMnO}_4\) (in the presence of dil \(\mathrm{H}_2 \mathrm{SO}_4\) ) titration the solution needs to be heated initially to \(60^{\circ} \mathrm{C}\), but no heating is required in Ferrous ammonium sulphate (FAS) vs \(\mathrm{KMnO}_4\) titration (in the presence of dil \(\mathrm{H}_2 \mathrm{SO}_4\) )
Statement II: In oxalic acid vs \(\mathrm{KMnO}_4\) titration, the initial formation of \(\mathrm{MnSO}_4\) takes place at high temperature, which then acts as catalyst for further reaction. In the case of FAS vs \(\mathrm{KMnO}_4\), heating oxidizes \(\mathrm{Fe}^{2+}\) into \(\mathrm{Fe}^{3+}\) by oxygen of air and error may be introduced in the experiment.
In the light of the above statements, choose the correct answer from the options given below

Given below are two statements : one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass. Reason \(R\): For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar. In the light of the above statements, choose the correct answer from the options given below