Given below are two statements :
Statement I : Wet cotton clothes made of cellulose based carbohydrate takes comparatively longer time to get dried than wet nylon polymer based clothes.
Statement II : Intermolecular hydrogen bonding with water molecule is more in nylon-based clothes than in the case of cotton clothes.
In the light of above statements, choose the Correct answer from the options given below

\(1.22\, \mathrm{~g}\) of an organic acid is separately dissolved in \(100 \,\mathrm{~g}\) of benzene \(\left(\mathrm{K}_{\mathrm{b}}=2.6\, \mathrm{~K}\, \mathrm{~kg} \,\mathrm{~mol}^{-1}\right)\) and \(100\, \mathrm{~g}\) of acetone \(\left(\mathrm{K}_{b}=1.7\, \mathrm{~K} \,\mathrm{~kg} \,\mathrm{~mol}^{-1}\right) .\) The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by \(0.17^{\circ} \mathrm{C}\). The increase in boiling point of solution in benzene in \({ }^{\circ} \mathrm{C}\) is \(\mathrm{x} \times 10^{-2}\). The value of \(\mathrm{x}\) is ..... .(Nearest integer) \([\) Atomic mass : \(\mathrm{C}=12.0, \mathrm{H}=1.0, \mathrm{O}=16.0]\)

Number of spectral lines obtained in \(\mathrm{He}^{+}\)spectra, when an electron makes transition from fifth excited state to first excited state will be _______.

The correct sequence of decreasing number of \(\pi -\) bonds in the structures of \(H_2SO_3, H_2SO_4\) and \(H_2S_2O_7\) is

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 : \(pK _{ b }\left( NH _3\right)=4.745\) \(\log 2=0.301\) \(\log 3=0.477\) \(T =298\,K ]\)

To inhibit the growth of tumours, identify the compounds used from the following: \((A)\) \(EDTA\)  \((B)\) Coordination Compounds of \(Pt\)  \((C)\) \(D-\)Penicillamine  \((D)\) Cis - Platin Choose the correct answer from the option given below:

The element with \(Z = 120\) (not yet discovered) will be an/a

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by \(0.02 \%\) is ______ \(\mathrm{m}\). (Take density of sea water \(=10^3 \mathrm{kgm}^{-3}\), Bulk modulus of rubber \(=9 \times 10^8 \mathrm{Nm}^{-2}\), and \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

The molecules having square pyramidal geometry are which?

From the magnetic behaviour of \(\left[\mathrm{NiCl}_4\right]^{2-}\) (paramagnetic) and \(\left[\mathrm{Ni}(\mathrm{CO})_4\right]\) (diamagnetic), choose the correct geometry and oxidation state.

Given below are two statements : \(Statement\) \((I)\) :Viscosity of gases is greater than that of liquids. \(Statement\) \((II)\) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below :

A biased die is marked with numbers \(2,4,8,16,32,32\) on its faces and the probability of getting a face with mark \(n\) is \(\frac{1}{n}\). If the die is thrown thrice, then the probability, that the sum of the numbers obtained is \(48\) , is

From a lot of \(10\) items, which include \(3\) defective items, a sample of \(5\) items is drawn at random. Let the random variable \(\mathrm{X}\) denote the number of defective items in the sample. If the variance of \(X\) is \(\sigma^2\), then \(96 \sigma^2\) is equal to ....................