The number of photons emitted by a monochromatic (single frequency) infrared range finder of power \(1\, \mathrm{~mW}\) and wavelength of \(1000 \,\mathrm{~nm}\), in \(0.1\) \(second\) is \(\mathrm{x}\, \times 10^{13}\). The value of \(\mathrm{x}\) is ..... . (Nearest integer) \(\left(\mathrm{h}=6.63 \times 10^{-34}\, \mathrm{Js}, \mathrm{c}=3.00 \times 10^{8} \,\mathrm{~ms}^{-1}\right)\)

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\). Assertion \((A)\) : \(\mathrm{NH}_3\) and \(\mathrm{NF}_3\) molecule have pyramidal shape with a lone pair of electrons on nitrogen atom. The resultant dipole moment of \(\mathrm{NH}_3\) is greater than that of \(\mathrm{NF}_3\). Reason \((R)\) : In \(\mathrm{NH}_3\), the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the \(\mathrm{N}-\mathrm{H}\) bonds. \(\mathrm{F}\) is the most electronegative element. In the light of the above statements, choose the correct answer from the options given below:

Which of the following electronegativity order is incorrect?

In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group \(IV\) in qualitative inorganic analysis?

The difference between electron gain enthalpies will be maximum between:

Given below are two statements:
Statement I: Sodium dichromate and potassium dichromate are classified as primary standards in titrimetric analysis.
Statement II: Phenolphthalein is a weak base, therefore it dissociates in acidic medium.
In the light of the above statements, choose the correct answer from the options given below

One mole of the octahedral complex compound \(\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{Cl}_3\) gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of \(\mathrm{AgNO}_3\) solution to yield two moles of \(\mathrm{AgCl}_{(\mathrm{s})}\). The structure of the complex is which?

A circle \(C\) of radius 2 lies in the second quadrant and touches both the coordinate axes. Let \(r\) be the radius of a circle that has centre at the point \((2,5)\) and intersects the circle \(C\) at exactly two points. If the set of all possible values of r is the interval \((\alpha, \beta)\), then \(3 \beta-2 \alpha\) is equal to :

\(R_f\) value for \(2\)-methylpropene in a solvent system (Ethyl acetate + ether) is \(0.42\). \(2\)-methylpropene is treated with dilute \(\text{H}_2\text{SO}_4\) to give major organic product (X). \(R_f\) value for (X) in the same solvent system under identical condition will be:

Distance of the centre of mass of a solid uniform cone from its vertex is \(z_0\) . If the radius of its base is \(R\) and its height is \(h\) then \(z_0\) is equal to

If \(\sin x+\sin ^2 x=1, x \in\left(0, \frac{\pi}{2}\right)\), then \(\left(\cos ^{12} x+\tan ^{12} x\right)+3\left(\cos ^{10} x+\tan ^{10} x+\cos ^8 x+\tan ^8 x\right)+\left(\cos ^6 x+\tan ^6 x\right)\) is equal to :

The naturally occurring amino acid that contains only one basic functional group in its chemical structure is

Which of the following matrices can \(NOT\) be obtained from the matrix \(\left[\begin{array}{cc}-1 & 2 \\ 1 & -1\end{array}\right]\) by a single elementary row operation?