Which of the following statement is not true for radioactive decay?

The oxide that shows magnetic property is :

The product \((c)\) in the following sequence of reactions has _______\(\pi\) bonds.

The correct decreasing order of priority of functional groups in naming an organic compound as per \(IUPAC\) system of nomenclature is.

For emission line of atomic hydrogen from \(n_1= 8\) to \(n_f = n\), the plot of wave number \(\left( {\bar v} \right)\) against \(\left( {\frac{1}{{{n^2}}}} \right)\) will be(The Rydberg constant, \(R_H\) is in wave number unit)

\(C _{12} H _{22} O _{11}+ H _{2} O \stackrel{\text { Enzyme A }}{\longrightarrow} C _{6} H _{12} O _{6}+ C _{6} H _{12} O _{6}\) Sucrose \(\quad\) \(\quad\) \(\quad\) \(\quad\) \(\quad\) \(\quad\) \(\quad\) Glucose \(\quad\) Fructose \(C _{6} H _{12} O _{6} \stackrel{\text { Enzyme B }}{\longrightarrow} 2 C _{2} H _{5} OH +2 CO _{2}\) Glucose In the above reactions, the enzyme \(A\) and enzyme \(B\) respectively are :-

\(2.5 \mathrm{~g}\) of a non-volatile, non-electrolyte is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\). The solution showed a boiling point elevation by \(2^{\circ} \mathrm{C}\). Assuming the solute concentration in negligible with respect to the solvent concentration, the vapour pressure of the resulting aqueous solution is _______ \(\mathrm{mm}\) of \(\mathrm{Hg}\) (nearest integer) [Given : Molal boiling point elevation constant of water \(\left(\mathrm{K}_{\mathrm{b}}\right)=0.52 \mathrm{K.} \mathrm{kg} \mathrm{mol}^{-1}\), \(1 \mathrm{~atm}\) pressure \(=760 \mathrm{~mm}\) of \(\mathrm{Hg}\), molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\)

A sphere of mass \(2\,kg\) and radius \(0.5\, m\) is rolling with an initial speed of \(1 \,ms ^{-1}\) goes up an inclined plane which makes an angle of \(30^{\circ}\) with the horizontal plane, without slipping. How low will the sphere take to return to the starting point \(A\) ? (in \(second\))

Let \(g: R \rightarrow R\) be a non constant twice differentiable such that \(g^{\prime}\left(\frac{1}{2}\right)=g^{\prime}\left(\frac{3}{2}\right)\). If a real valued function \(f\) is defined as \(\mathrm{f}(\mathrm{x})=\frac{1}{2}[\mathrm{~g}(\mathrm{x})+\mathrm{g}(2-\mathrm{x})]\), then

Let the relation R on the set \(M=\{1,2,3,.......16\}\) be given by \(R=\{(x,y):4y=5x-3,x,y\in M\}\). Then the minimum number of elements required to be added in R, in order to make the relation symmetric, is equal to

A slender uniform rod of mass \(M\) and length \(l\) is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle \(\theta\) with the vertical is

Let the line \(\frac{x}{1}=\frac{6-y}{2}=\frac{z+8}{5}\) intersect the lines \(\frac{x-5}{4}=\frac{y-7}{3}=\frac{z+2}{1}\) and \(\frac{x+3}{6}=\frac{3-y}{3}=\frac{z-6}{1}\) at the points \(A\) and \(B\) respectively. Then the distance of the mid-point of the line segment \(A B\) from the plane \(2 x-2 y+z=14\) is

A ray of light of intensity \(I\) is incident on a parallel glass slab at point \(A\) as shown in diagram. It undergoes partial reflection and refraction. At each reflection, \(25\%\) of incident energy is reflected. The rays \(AB\) and \(A'B'\) undergo interference. The ratio of \(I_{max}\) and \(I_{min}\) is