The wavelength of spectral line obtained in the spectrum of \(LI^{2+}\) ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

The electronic configuration for Neodymium is: [Atomic Number for Neodymium \(60\)]

The most appropriate reagent for conversion of \(C _{2} H _{5} CN\) into \(CH _{3} CH _{2} CH _{2} NH _{2}\) is

Which of the following combination of statements is true regarding the interpretation of the atomic orbitals? \((1)\) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum. \((2)\) For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number \((3)\) According to wave mechanics, the ground state angular momentum is equal to \(\frac {h}{2\pi }\) \((4)\) The plot of \(\Psi \,\,Vs\,\,r\) for various azimuthal quantum numbers, shows peak shifting towards higher \(r\) value

At \(27^{\circ}\,C\), a solution containing \(2.5\,g\) of solute in \(250.0\,mL\) of solution exerts an osmotic pressure of \(400\,Pa\). The molar mass of the solute is \(..............g\) \(mol ^{-1}\) (Nearest integer)(Given : \(R =0.083\,L\,bar\,K ^{-1}\,mol ^{-1}\) )

A litre of buffer solution contains \(0.1\) mole of each of \(NH _3\) and \(NH _4 Cl\). On the addition of \(0.02\,mole\) of \(HCl\) by dissolving gaseous \(HCl\), the \(pH\) of the solution is found to be \(......\times 10^{-3}(\) Nearest integer) \(\left[\right.\) Given : \(pK _{ b }\left( NH _3\right)=4.745\) \(\log 2=0.301\) \(\log 3=0.477\) \(T =298\,K ]\)

Shown below is the structure of methyl acetate with three different \(\alpha\), \(\beta\) and \(\gamma\) carbon - oxygen bonds.

The correct order of bond lengths of these bonds is :

An elliptical loop having resistance \(R\), of semi major axis \(a,\) and semi  inor axis \(b\) is placed in a magnetic field as shown in the figure. If the loop is rotated about the \(x-\) axis with angular frequency \(\omega\), the average power loss in the loop due to Joule heating is :

For an integer \(\mathrm{n} \geq 2\), if the arithmetic mean of all coefficients in the binomial expansion of \((x+y)^{2 n-3}\) is 16 , then the distance of the point \(P\left(2 n-1, n^2-4 n\right)\) from the line \(x+y=8\) is:

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R.\) Assertion \(A:\) An electric fan continues to rotate for some time after the current is switched off. Reason \(R:\) Fan continuous to rotate due to inertia of motion. In the light of above statements, choose the most appropriate answer from the options given below.

In the above reaction, \(5\,g\) of toluene is converted into benzaldehyde with \(92 \%\) yield. The amount of benzaldehyde produced is \(....\times 10^{-2}\,g\). (Nearest integer)

The figure given below shows an \(LCR\) series circuit with two switches \(S_1\) and \(S_2\). When switch \(S_1\) is closed keeping \(S_2\) open, the phase difference \((\phi)\) between the current and source voltage is \(30°\) and phase difference is \(60°\) when \(S_2\) is closed keeping \(S_1\) open. The value of \((3L_1 - L_2)\) is _______ H.

Let \(A\) and \(B\) be any two \(3 \times 3\) symmetric and skew symmetric matrices respectively. Then which of the following is \(NOT\) true?