Consider ' \(n\) ' is the number of lone pair of electrons present in the equatorial position of the most stable structure of \(\mathrm{ClF}_3\). The ions from the following with ' \(n\) ' number of unpaired electrons are _______.
A. \(\mathrm{V}^{3+}\)
B. \(\mathrm{Ti}^{3+}\)
C. \(\mathrm{Cu}^{2+}\)
D. \(\mathrm{Ni}^{2+}\)
E. \(\mathrm{Ti}^{2+}\)
Choose the correct answer from the options given below:

Two reactions \(R_1\) and \(R_2\) have identical pre-exponential factors. Activation energy of \(R_1\) exceeds that of \(R_2\) by \(10\, kJ\,mol^{-1}.\) If \(k_1\) and \(k_2\) are rate constants for reactions \(R_1\) and \(R_2\) respectively at \(300 \,K,\) then \(\ln (k_2/k_1)\) is equal to : \((R=8.314\,J\, mol^{-1}\,K^{-1})\)

The correct pair(s) of the ambident nucleophiles is (are): \((A)\) \(AgCN / KCN\) \((B)\) \(RCOOAg / RCOOK\) \((C)\) \(AgNO _{2} / KNO _{2}\) \((D)\) \(AgI / KI\)

Match the LIST-I with LIST-II

No.	LIST-I	No.	LIST-II
A.	Carbocation	I.	Species that can supply a pair of electrons.
B.	C-Free radical	II.	Species that can receive a pair of electrons.
C.	Nucleophile	III.	sp2 hybridized carbon with empty p-orbital.
D.	Electrophile	IV.	sp2 / sp3 hybridized carbon with one unpaired electron.

Choose the correct answer from the options given below :

The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. (R = Rydberg constant)

In the hydrocarboration - oxidation reaction of propene with diborane, \(H_2O_2\) and \(NaOH\), the organic compound formed is

Amongst \(LiCl, RbCl, BeCl_2\) and \(MgCl_2\) the compounds with the greatest and the least ionic character, respectively are:

The number of real solutions of the equation \(3\left(x^2+\frac{1}{x^2}\right)-2\left(x+\frac{1}{x}\right)+5=0\), is

Let \(f ( x )= x \cdot\left[\frac{ x }{2}\right],\) for \(-10< x <10,\) where \([ t ]\) denotes the greatest integer function. Then the number of points of discontinuity of \(f\) is equal to

When a car is approaching the observer, the frequency of horn is \(100 Hz\). After passing the observer, it is \(50\,Hz\). If the observer moves with the car, the frequency will be \(\frac{ x }{3} Hz\) where \(x =.....\)

The sum of all the real roots of the equation \(\left( e ^{2 x }-4\right)\left(6 e ^{2 x }-5 e ^{ x }+1\right)=0\) is

The stepwise formation of \(\left[ Cu \left( NH _{3}\right)_{4}\right]^{2+}\) is given below \(Cu ^{2+}+ NH _{3} \stackrel{ K _{1}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)\right]^{2+}\) \(\left[ Cu \left( NH _{3}\right)\right]^{2+}+ NH _{3} \stackrel{ K _{2}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{2}\right]^{2+}\) \(\left[ Cu \left( NH _{3}\right)_{2}\right]^{2+}+ NH _{3} \stackrel{ K _{3}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{3}\right]^{2+}\) \(\left[ Cu \left( NH _{3}\right)_{3}\right]^{2+}+ NH _{3} \stackrel{ K _{4}}{\rightleftharpoons}\left[ Cu \left( NH _{3}\right)_{4}\right]^{2+}\) The value of stability constants \(K _{1}, K _{2}, K _{3}\) and \(K _{4}\) are \(10^{4}, 1.58 \times 10^{3}, 5 \times 10^{2}\) and \(10^{2}\) respectively. The overall equilibrium constants for dissociation of \(\left[ Cu \left( NH _{3}\right)_{4}\right]^{2+}\) is \(x \times 10^{-12}\) The value of \(x\) is ............... (Rounded off to the nearest integer)

A resistance is shown in the figure. Its value and tolerance are given respectively by