Given below are two statements, one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A:\) The spin only magnetic moment value for \(\left[ Fe ( CN )_6\right]^{3-}\) is \(1.74 BM\), whereas for \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) is \(5.92\,BM\). Reason \(R :\) In both complexes, \(Fe\) is present in +3 oxidation state. In the light of the above statements, choose the correct answer from the options given below:

Which one of the following species responds to an external magnetic field?

\(\mathrm{r}=\mathrm{k}[\mathrm{A}]\) for a reaction, \(50 \%\) of \(\mathrm{A}\) is decomposed in\(120\) minutes. The time taken for \(90 \%\) decomposition of \(\mathrm{A}\) is _______ minutes.

Salicylaldehyde is synthesized from phenol, when reacted with _______.

\(  {C{H_3} - C{H_2} - \overset{\overset{\LARGE{OH}}{|}}{\underset{\large {Ph}}{\underset{|}{C}}} - C{H_3}} \) can not be prepared by

In a nucleophilic substitution reaction \(R - Br + C{l^ - }\xrightarrow{{DMF}}R - Cl + B{r^ - }\)  , which one of the following undergoes complete inversion of configuration?

For the reaction \(SO_2(g) + \frac{1}{2} O_2(g) \rightleftharpoons SO_3(g),\) if \(K_P = K_C ( RT)^x\) where the symbols have usual meaning then the value of \(x\) is (assuming ideality) :

If \(\alpha x+\beta y=109\) is the equation of the chord of the ellipse \(\frac{x^2}{9}+\frac{y^2}{4}=1\), whose mid point is \(\left(\frac{5}{2}, \frac{1}{2}\right)\), then \(\alpha+\beta\) is equal to :

If \(\cot \alpha=1\) and \(\sec \beta=-\frac{5}{3}\), where \(\pi<\alpha<\frac{3 \pi}{2}\) and \(\frac{\pi}{2}<\beta<\pi\), then the value of \(\tan (\alpha+\beta)\) and the quadrant in which \(\alpha+\beta\) lies, respectively are

If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309 , then the sum of its first nine terms is :

The position vectors of two 1 kg particles, (A) and (B), are given by
\(\overrightarrow{\mathrm{r}}_{\mathrm{A}}=\left(\alpha_1 \mathrm{t}^2 \hat{i}+\alpha_2 \mathrm{t} \hat{j}+\alpha_3 \mathrm{t} \hat{k}\right) \mathrm{m}\) and \(\overrightarrow{\mathrm{r}}_{\mathrm{B}}=(\beta_1 \mathrm{t} \hat{i}+\beta_2 \mathrm{t}^2 \hat{j}\) \(+\beta_3 \mathrm{t} \hat{k}) \mathrm{m}\), respectively; \((\alpha_1=1 \mathrm{~m} / \mathrm{s}^2, \alpha_2=3 \mathrm{n} \mathrm{m} / \mathrm{s},\) \(\alpha_3=2 \mathrm{~m} / \mathrm{s},\) \(\beta_1=2 \mathrm{~m} / \mathrm{s}, \beta_2=-1 \mathrm{~m} / \mathrm{s}^2, \beta_3=4 \mathrm{pm} / \mathrm{s})\), where t is time, n and p are constants. At \(t=1 \mathrm{~s},\left|\overrightarrow{V_A}\right|=\left|\vec{V}_B\right|\) and velocities \(\vec{V}_A\) and \(\vec{V}_B\) of the particles are orthogonal to each other. At \(t=1 \mathrm{~s}\), the magnitude of angular momentum of particle (A) with respect to the position of particle (B) is \(\sqrt{\mathrm{L}} \mathrm{kgm}^2 \mathrm{~s}^{-1}\). The value of L is _______ .

Two thin metallic spherical shells of radii \({r}_{1}\) and \({r}_{2}\) \(\left({r}_{1}<{r}_{2}\right)\) are placed with their centres coinciding. A material of thermal conductivity \({K}\) is filled in the space between the shells. The inner shell is maintained at temperature \(\theta_{1}\) and the outer shell at temperature \(\theta_{2}\left(\theta_{1}<\theta_{2}\right)\). The rate at which heat flows radially through the material is :-

Which of the following gives a positive test with ninhydrin?