Suitable reaction condition for preparation of Methyl phenyl ether is

Given below are two statements, one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\) : Benzene is more stable than hypothetical cyclohexatriene. Reason \(R\) : The delocalized \(\pi\) electron cloud is attracted more strongly by nuclei of carbon atoms. In the light of the above statements, choose the correct answer from the options given below:

A \(300\,mL\) bottle of soft drink has \(0.2\,M CO _2\) dissolved in it. Assuming \(CO _2\) behaves as an ideal gas, the volume of the dissolved \(CO _2\) at \(STP\) is \(......mL\). (Nearest integer) Given: At \(STP\), molar volume of an ideal gas is \(22.7\,L\,mol ^{-1}\)

The disproportionation of \(MnO _{4}^{2-}\) in acidic medium resulted in the formation of two manganese compounds \(A\) and \(B\). If the oxidation state of \(Mn\) in \(B\) is smaller than that of \(A\), then the spin-only magnetic moment \((\mu)\) value of \(B\) in \(BM\) is \(.........\) (Nearest integer)

Evaluate the following statements related to group \(14\) elements for their correctness. \((A)\)Covalent radius decreases down the group from \(\mathrm{C}\) to \(\mathrm{Pb}\) in a regular manner. \((B)\) Electronegativity decreases from \(\mathrm{C}\) to \(\mathrm{Pb}\) down the group gradually. \((C)\) Maximum covalence of \(\mathrm{C}\) is \(4\) whereas other elements can expand their covalence due to presence of \(d\) orbitals. \((D)\) Heavier elements do not form \(\mathrm{p} \pi-p \pi\) bonds. \((E)\) Carbon can exhibit negative oxidation states. Choose the correct answer from the options given below:

Given that the standard potentials \(\left(\mathrm{E}^{\circ}\right)\) of \(\mathrm{Cu}^{2+}{/ \mathrm{Cu}}\) and \(\mathrm{Cu}^{+}{/ \mathrm{Cu}}\) are \(0.34 \;\mathrm{V}\) and \(0.522 \;\mathrm{V}\) respectively, the \({E}^{\circ}\) of \({C u}^{2+}{/ {C u}^{+}}\) is

The maximum number of lone pairs of electrons on the central atom from the following species is \(........\). \(ClO _3^{-}, XeF _4, SF _4\) and \(I _3^{-}\)

Among the following, the molecule expected to be stabilized by anion formation is

A capacitor of capacitance \(100\  \mu \mathrm{F}\) is charged to a potential of \(12  \mathrm{~V}\) and connected to a \(6.4 \ \mathrm{mH}\) inductor to produce oscillations. The maximum current in the circuit would be :

A travelling microscope is used to determine the refractive index of a glass slab. If \(40\) divisions are there in \(1 \; cm\) on main scale and \(50\) Vernier scale divisions are equal to \(49\) main scale divisions, then least count of the travelling microscope is \(\dots \; \times 10^{-6} \; m\)

Let \(p(x)\) be a quadratic polynomial such that \(p(0)= 1\) . If \(p(x)\) leaves remainder \(4\) when divided by \(x-1\) and it leaves remainder \(6\) when divided by \(x+ 1\) ; then

If \(\left(\frac{1}{\alpha+1}+\frac{1}{\alpha+2}+\ldots+\frac{1}{\alpha+1012}\right) \) \( -\left(\frac{1}{2 \cdot 1}+\frac{1}{4 \cdot 3}+\frac{1}{6 \cdot 5}+\ldots+\frac{1}{2024 \cdot 2023}\right) \) \( =\frac{1}{2024}, \) then \(\alpha\) is equal to-

Two poles, \(\mathrm{AB}\) of length \(a\) metres and \(\mathrm{CD}\) of length \(\mathrm{a}+\mathrm{b}(\mathrm{b} \neq \mathrm{a})\) metres are erected at the same horizontal level with bases at \(\mathrm{B}\) and \(\mathrm{D} .\) If \(\mathrm{BD}=\mathrm{x}\) and \(\tan \angle\,ACB=\frac{1}{2}\), then: