For the given cell
\(\mathrm{Fe}^{2+}{ }_{(\mathrm{aq})}+\mathrm{Ag}^{+}{ }_{(\mathrm{aq})} \rightarrow \mathrm{Fe}_{(\mathrm{aq})}^{3+}+\mathrm{Ag}_{(\mathrm{s})}\)
The standard cell potential of the above reaction is Given:
\(\begin{array}{lr}
\mathrm{Ag}^{+}+\mathrm{e}^{-} \rightarrow \mathrm{Ag} & \mathrm{E}^\theta=\mathrm{xV} \\
\mathrm{Fe}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{Fe} & \mathrm{E}^\theta=\mathrm{yV} \\
\mathrm{Fe}^{3+}+3 \mathrm{e}^{-} \rightarrow \mathrm{Fe} & \mathrm{E}^\theta=\mathrm{zV}
\end{array}\)

Iodoform test can differentiate between
A. Methanol and Ethanol
B. \( CH_{3}COOH \) and \( CH_{3}CH_{2}COOH \)
C. Cyclohexene and cyclohexanone
D. Diethyl ether and Pentan-3-one
E. Anisole and acetone
Choose the correct answer from the options given below:

Total enthalpy change for freezing of 1 mol of water at \(10^{\circ} \mathrm{C}\) to ice at \(-10^{\circ} \mathrm{C}\) is _______.
(Given : \(\Delta_{\text {fus }} H=x \mathrm{~kJ} / \mathrm{mol}\))
\(\begin{aligned} & \mathrm{C}_{\mathrm{p}}\left[\mathrm{H}_2 \mathrm{O}(\mathrm{l})\right]=\mathrm{y} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1} \\ & \mathrm{C}_{\mathrm{p}}\left[\mathrm{H}_2 \mathrm{O}(\mathrm{s})\right]=\mathrm{z} \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\end{aligned}\)

Given below are two statements :
1 M aqueous solution of each of \(\mathrm{Cu}\left(\mathrm{NO}_3\right)_2, \mathrm{AgNO}_3\), \(\mathrm{Hg}_2\left(\mathrm{NO}_3\right)_2 ; \mathrm{Mg}\left(\mathrm{NO}_3\right)_2\) are electrolysed using inert electrodes,
\(\begin{aligned} & \text { Given : } \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^\theta=0.80 \mathrm{~V}, \mathrm{E}_{\mathrm{Hg}_2^{2+} / \mathrm{Hg}}^\theta=0.79 \mathrm{~V}, \\ & \mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^\theta=0.24 \mathrm{~V} \text { and } \mathrm{E}_{\mathrm{Mg}^{2+} / \mathrm{Mg}}^\theta=-2.37 \mathrm{~V}\end{aligned}\)
Statement (I) : With increasing voltage, the sequence of deposition of metals on the cathode will be \(\mathrm{Ag}, \mathrm{Hg}\) and Cu
Statement (II) : Magnesium will not be deposited at cathode instead oxygen gas will be evolved at the cathode.
In the light of the above statement, choose the most appropriate answer from the options given below

Given below are two statements:

Statement I: \(3\)-phenylpropene reacts with HBr and gives secondary alkyl bromide having a chiral carbon atom as the major product.

Statement II: Aryl chlorides and aryl cyanides can be prepared by Sandmeyer reaction as well as Gattermann reaction.

In the light of the above statements, choose the correct answer from the options given below

Consider the following statements: \((A)\) \(NF _3\) molecule has a trigonal planar structure. \((B)\) Bond length of \(N _2\) is shorter than \(O _2\). \((C)\) Isoelectronic molecules or ions have identical bond order. \((D)\) Dipole moment of \(H _2 S\) is higher than that of water molecule. Choose the correct answer from the option below:

Consider a complex reaction taking place in three steps with rate constants \(k_1, k_2\) and \(k_3\) respectively. The overall rate constant \(k\) is given by the expression \(k=\sqrt{\frac{k_1 k_3}{k_2}}\). If the activation energies of the three steps are 60,30 and \(10 \mathrm{~kJ} \mathrm{~mol}{ }^{-1}\) respectively, then the overall energy of activation in \(\mathrm{kJ} \mathrm{mol}^{-1}\) is _______. (Nearest integer)

Given below are two statements:
Given: Molar mass of C, H, O, Cl are \(12, 1, 16\) and \(35.5\) g mol\(^{-1}\), respectively.
Statement I: In \(30\%\) (w/w) solution of methanol in CCl\(_4\) (at T K), the mole fraction of CCl\(_4\) is equal to \(0.33\).
Statement II: Mixture of methanol and CCl\(_4\) shows positive deviation from Raoult's law.
In the light of the above statements, choose the correct answer from the options given below:

Two identical metallic spheres \(A\) and \(B\) when placed at certain distance in air repel each other with a force of \(F\). Another identical uncharged sphere \(C\) is first placed in contact with \(A\) and then in contact with \(B\) and finally placed at midpoint between spheres \(A\) and \(B\). The force experienced by sphere \(C\) will be.

Two factories are sounding their sirens at \(800\, Hz\) . A man goes from one factory to other at a speed of \(2\,m/s\). The velocity of sound is \(320\, m/s\). The number of beats heard by the person in one second will be

A small bob tied at one end of a thin string of length \(1\, m\) is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio \(5: 1 .\) The velocity of the bob at the height position is ............. \(m / s\) (Take \(\left.g=10 \,m / s ^{2}\right)\)

If \(\mu_0\) and \(\varepsilon_0\) are the permeability and permittivity of free space, respectively, then the dimension of \(\left(\frac{1}{\mu_0 \varepsilon_0}\right)\) is :

The correct match between items \(I\) and \(II\) is

Item \(-I\) (Mixture)	Item \(-II\) (Separation method)
\((a)\) \(H_2O :\) Sugar	\(p.\) Sublimation
\((b)\) \(H_2O :\) Aniline	\(q.\) Recrystallization
\((c)\) \(H_2O :\) Toluene	\(r.\) Stem distillation
	\(s.\) Differential extraction