In Dumas' method 292 mg of an organic compound released 50 mL of nitrogen gas \(\left(\mathrm{N}_2\right)\) at 300 K temperature and 715 mm Hg pressure. The percentage composition of ' N ' in the organic compound is ________ % (Nearest integer)
(Aqueous tension at \(300 \mathrm{~K}=15 \mathrm{~mm} \mathrm{Hg}\))

Which of the following statements is not true about \(RNA\) ?

Given below are two statements, one is labeled as Assertion \((A)\) and other is labeled as Reason \((R).\) Assertion \((A):\) Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines. Reason \((R) :\) Aryl halides do not undergo nucleophilic substitution reaction. In the light of the above statements, choose the correct answer form the options given below.

Which of the following statement(s) is/are true ?
A. If two orbitals have the same value of \((n + l)\), the orbital with lower value of \(n\) will have lower energy.
B. Energies of the orbitals in the same subshell increase with increase in atomic number.
C. The size of \(2p_x\) orbital is less than the size of \(3p_x\) orbital.
D. Among \(5f\), \(6s\), \(4d\), \(5p\) and \(5d\) orbitals, none of the orbitals have \(2\) radial nodes.
Choose the correct answer from the options given below :

The complex ion that will lose its crystal field stabilization energy upon oxidation of its metal to \(+3\) state is

Given below are two statements : Statement \(I\): In group \(13\), the stability of \(+1\) oxidation state increases down the group. Statement \(II\): The atomic size of gallium is greater than that of aluminium. In the light of the above statements, choose the most appropriate answer from the options given below:

The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below \({O_3}(g)\, + \,C{l^ * }(g)\, \to \,{O_2}(g) + Cl{O^ * }(g)\) ..... \((i)\)               \([{K_i} = 5.2 \times {10^9}\,\,L\,mo{l^{ - 1}}\,{s^{ - 1}}]\) \(Cl{O^ * }(g) + {O^ * }(g)\, \to \,{O_2}(g) + \,C{l^ * }(g)\) ..... \((ii)\)                \([{K_{ii}} = 2.6 \times {10^{10}}\,\,L\,mo{l^{ - 1}}\,{s^{ - 1}}]\) The closest rate constant for the overall reaction  \({O_3}(g){\mkern 1mu}  + {\mkern 1mu} {O^*}(g){\mkern 1mu}  \to {\mkern 1mu} 2{O_2}(g)\) is  ........... \(L\,\,mo{l^{ - 1}}\,{s^{ - 1}}\)

Resistance of a conductivity cell (cell constant \(129 \;m ^{-1}\) ) filled with \(74.5\; ppm\) solution of \(KCl\) is \(100\; \Omega\) (labelled as solution 1). When the same cell is filled with \(KCl\) solution of \(149 \;ppm\), the resistance is \(50\; \Omega\) (labelled as solution 2). The ratio of molar conductivity of solution \(1\) and solution \(2\) is i.e. \(\frac{\wedge_{1}}{\wedge_{2}}=x \times 10^{-3}\). The value of \(x\) is (Nearest integer) Given, molar mass of \(KCl\) is \(74.5 g mol ^{-1}\)

If \(f: R \rightarrow R\) is a function defined by \(f(x)=[x-1] \cos \left(\frac{2 x-1}{2}\right) \pi,\) where \([.]\) denotes the greatest integer function, then \(f\) is

Let ' \(a\) ' be a real number such that the function \(f(x)=a x^{2}+6 x-15, x \in R\) is increasing in \(\left(-\infty, \frac{3}{4}\right)\) and decreasing in \(\left(\frac{3}{4}, \infty\right) .\) Then the function \(g(x)=a x^{2}-6 x+15, x \in R\) has a:

An electric charge \(10^{-6} \mu \mathrm{C}\) is placed at origin \((0,0)\) \(\mathrm{m}\) of \(\mathrm{X}-\mathrm{Y}\) co-ordinate system. Two points \(\mathrm{P}\) and \(\mathrm{Q}\) are situated at \((\sqrt{3}, \sqrt{3}) \mathrm{m}\) and \((\sqrt{6}, 0) \mathrm{m}\) respectively. The potential difference between the points \(P\) and \(Q\) will be :

If the acceleration due to gravity experienced by a point mass at a height \(h\) above the surface of earth is same as that of the acceleration due to gravity at a depth a depth \(\alpha\) h \(\left(h \ll R_{e}\right)\) from the earth surface. The value of \(\alpha\) will be\(....\)(use \(R _{ e }=6400\,km\) )

Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by 15 cm length of wire Q is ___________.

\(\left(\mu_0=4 \pi \times 10^{-7} T . m / A \right)\)