Consider the following \(Zn^{2+} + 2e^-\) \(\longrightarrow\) \(Zn (s) ; E^o = -0.76\,V\) \(Ca^{2+} + 2e^-\) \(\longrightarrow\) \(Ca (s) ; E^o = -2.87\,V\) \(Mg^{2+} + 2e^-\) \(\longrightarrow\) \(Mg (s) ; E^o = -2.36\,V\) \(Ni^{2+} + 2e^-\) \(\longrightarrow\) \(Ni (s) ; E^o = -0.25\,V\) The reducing power of the metals increases in the order

Given below are the four isomeric compounds (P, Q, R, S)

Identify correct statements from below.
A. Q, R and S will give precipitate with 2, 4 - DNP.
B. P and Q will give positive Bayer's test.
C. Q and R will give sooty flame.
D. R and S will give yellow precipitate with. \(I _2 / NaOH\).
E. Q alone will deposit silver with Tollen's reagent
Choose the correct option.

The number of \(4 f\) electrons in the ground state electronic configuration of \(\mathrm{Gd}^{2+}\) is ........ . [Atomic number of \(\mathrm{Gd}=64\) ]

\(1\) Faraday electricity was passed through \(\mathrm{Cu}^{2+}(1.5\) \(\mathrm{M}, 1 \mathrm{~L}) / \mathrm{Cu}\) and \(0.1\) Faraday was passed through \(\mathrm{Ag}^{+}(0.2 \mathrm{M}, 1 \mathrm{~L}) / \mathrm{Ag}\) electrolytic cells. After this the two cells were connected as shown below to make an electrochemical cell. The emf of the cell thus formed at 298 K is-

Given: \(\mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^{\mathrm{o}}=0.34 \mathrm{~V}\)
\(\mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^0=0.8 \mathrm{~V}\)
\(\frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.06 \mathrm{~V}\)

Which molecule/ion among the following cannot act as a ligand in complex compounds ?

At \( 27^{\circ}C \) in presence of a catalyst, activation energy of a reaction is lowered by 10 kJ \( mol^{-1} \). The logarithm ratio of \( \frac{k(catalysed)}{k(uncatalysed)} \) is ....
(Consider that the frequency factor for both the reactions is same)

Which of the following has the shortest \(C-Cl\) bond?

When \(2\) litre of ideal gas expands isothermally into vacuum to a total volume of \(6\) litre, the change in internal energy is \(..........\,J\). (Nearest integer)

As shown in the figure, a particle is moving with constant speed \(\pi\,m / s\). Considering its motion from \(A\) to \(B\), the magnitude of the average velocity is:

If the third term in the binomial expansion of \({\left( {1 + {x^{{{\log }_2}\,x}}} \right)^5}\) equals \(2560\), then a possible value of \(x\) is

A positive ion \(A\) and a negative ion \(B\) has charges \(6.67 \times 10^{-19} \mathrm{C}\) and \(9.6 \times 10^{-10} \mathrm{C}\), and masses \(19.2 \times 10^{-27} \mathrm{~kg}\) and \(9 \times 10^{-27} \mathrm{~kg}\) respectively. At an instant, the ions are separated by a certain distance r. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is \(P \times 10^{45}\), where the value of 10\(P\) is _______.
(Take \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-1}\) and universal gravitational constant as \(6.67 \times 10^{-11} \mathrm{Nm}^2 \mathrm{~kg}^{-2}\) )
Assume that charge may not be an integral multiple of electrons.

Let \(f(x)=2 x^{2}-x-1\) and \(S =\{n \in Z :|f(n)| \leq 800\}\) . Then value of \(\sum_{n \in S} f(n)\) is . . . .  .

The wavelength of light absorbed for the following complexes are in the order:
\(\underset{\text { (I) }}{\left[ Co \left( NH _3\right)_6\right]^{3+}} ; \underset{\text { (II) }}{\left[ Co \left( H _2 O \right)_6\right]^{3+}} ; \underset{\text { (III) }}{\left[ Co ( CN )_6\right]^{3-}}\) ;
\(\underset{( IV )}{\left[ Co \left( NH _3\right)_5\left( H _2 O \right)\right]^{3+}} ; \underset{( V )}{\left[ CoF _6\right]^{3-}}\)