The number of pentagons in \(C_{60} \) and trigons (triangles) in white phosphorus, respectively, are

Which of the following statements are correct?
A. The process of the addition an electron to a neutral gaseous atom is always exothermic
B. The process of removing an electron from an isolated gaseous atom is always endothermic
C. The \(1^{\text {st }}\) ionization energy of the boron is less than that of the beryllium
D. The electronegativity of C is 2.5 in \(\mathrm{CH}_4\) and \(\mathrm{CCl}_4\)
E. Li is the most electropositive among elements of group I
Choose the correct answer from the options gives below

Optical activity of an enantiomeric mixture is \(+12.6^{\circ}\) and the specific rotation of \((t)\) isomer is \(+30^{\circ}\). The optical purity is \(........\%\)

Choose the correct option for the following reactions.

The pair, in which ions are isoelectronic with \(Al ^{3+}\) is ..... .

Energy of an electron is given by \(E =- 2.178 \times 10^{-18}\,J \, \left( {\frac{{{Z^2}}}{{{n^2}}}} \right) .\) Wavelength of light required to excite an electron in an hydrogen atom from level \(n = 1\) to \(n = 2\) will be : \((h = 6.62 \times 10^{-34} \,Js\) and \(c = 3.0 \times 10^8 \,ms^{-1})\)

The osmotic pressure of blood is \(7.47\, bar\) at \(300\, K\). To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in \(g\,L ^{-1}\) is \(......\) (Molar mass of glucose \(=180 \,g\, mol ^{-1}\) \(R =0.083\, L\) bar \(K ^{-1} \,mol ^{-1}\) ) (Nearest integer)

Copper reduces \(NO _{3}^{-}\) into \(NO\) and \(NO _{2}\) depending uponthe concentration of \(HNO _{3}\) insolution. (Assuming fixed \(\left[ Cu ^{2+}\right]\) and \(\left. P _{ NO }= P _{ NO _{2}}\right),\) the \(HNO _{3}\) concentration at which the thermodynamic tendency for reduction of \(NO _{3}^{-}\) into \(NO\) and \(NO _{2}\) by copper is same is \(10^{ x }\, M\). The value of \(2 x\) is ...... . \(\left[\right.\) Given \(, E_{C u^{2+} / C u}^{o}=0.34\, V , E _{ NO _{3}^{-} / NO_2 }^{\circ}=0.96\, V\) (Rounded-off to the nearest integer) \(E _{ NO _{3} / NO _{2}}^{\circ}=0.79 \,V\) and at \(298 \,K\)  \(\left.\frac{ RT }{ F }(2.303)=0.059\right]\)

The least value of n for which the number of integral terms in the Binomial expansion of \((\sqrt[3]{7}+\sqrt[12]{11})^{\mathrm{n}}\) is 183, is :

The coefficient of \(x^{48}\) in \((1+x)+2(1+x)^{2}+3(1+x)^{3}+....+100(1+x)^{100}\) is equal to:

If momentum of a body is increased by \(20 \%\), then its kinetic energy increases by\(....\%\)

A physical quantity \(p\) is described by the relation \(p\, = a^{1/2}\, b^2\, c^3\, d^{-4}\) If the relative errors in the measurement of \(a, b, c\) and \(d\) respectively, are \(2\% , 1\%, 3\%\) and \(5\%\), then the relative error in \(P\) will be ........... \(\%\)

Which of the following statements are not correct? \(A.\) The electron gain enthalpy of \(F\) is more negative than that of \(Cl\) \(B.\) Ionization enthalpy decreases in a group of periodic table \(C.\) The electronegativity of an atom depends upon the atoms bonded to it. \(D.\) \(Al _2 O _3\) and \(NO\) are examples of amphoteric oxides. Choose the most appropriate answer from the options given below: