The \(\mathrm{pH}\) of an aqueous solution containing \(1 \mathrm{M}\) benzoic acid \(\left(\mathrm{pK}_{\mathrm{a}}=4.20\right)\) and \(1 \mathrm{M}\) sodium benzoate is \(4.5\). The volume of benzoic acid solution in 300 \(\mathrm{mL}\) of this buffer solution is _______ \(\mathrm{mL}\).

Sugar moiety in \(DNA\) and \(RNA\) molecules respectively are

The species in which the \(N\) atom is in a state of \(sp\) hybridization is :

Consider the following sequence for aspartic acid The \(pI\) (isoelectric point) of aspartic acid

Outermost electronic configurations of four elements \(A, B, C, D\) are given below. \(3 s^{2}\); \(3 s^{2} 3 p^{1}\); \(3 s ^{2} 3 p ^{3}\); \(3 s^{2} 3 p^{4}\) The correct order of first ionization enthalpy for them is.

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:

What is the \(pH\) of a \(10^{-4}\, M\,OH^-\) solution at \(330\,K\), if \(K_w\) at \(330\,K\) is \(10^{-13.6}\) ?

Let \(q\) be the maximum integral value of \(p\) in \([0,10]\) for which the roots of the equation \(x ^2- px +\frac{5}{4} p =0\) are rational. Then the area of the region \(\{(x, y): 0 \leq y\) \(\left.\leq(x-q)^2, 0 \leq x \leq q\right\}\) is

The de-Broglie wavelength of a particle having kinetic energy \(E\) is \(\lambda\). How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to \(75 \,\%\) of the initial value ?

An electron moving with speed \(v\) and a photon moving with speed \(c,\) have same D-Broglie wavelength. The ratio of kinetic energy of electron to that of photon is -

\(4.5 \,g\) of compound \(A ( MW =90)\) was used to make \(250\, mL\) of its aqueous solution. The molarity of the solution in \(M\) is \(x \times 10^{-1}\). The value of \(x\) is ............ (Rounded off to the nearest integer)

If \(7=5+\frac{1}{7}(5+\alpha)+\frac{1}{7^2}(5+2 \alpha)+\frac{1}{7^3}(5+3 \alpha)+\ldots \infty\), then the value of \(\alpha\) is :

Which of the following compound has a \(P-P\) bond ?