The reverse osmosis occurs when

The molality of a solution prepared by dissolving \(4 . 0 ~ g ~ N a O H\) in \(1 0 0 0 ~ m L\) distilled water is _________ (Assume that the density of water is \(1 g mL ^{-1}\) )

Answer the question on the basis of passage given below:
Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety.Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
During denaturation of proteins:

Arrange the following compounds in increasing order of their acidic character.
(A) m-nitrophenol
(B) p-nitrophenol
(C) Phenol
(D) p-methoxyphenol
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The minimum concentration of an electrolyte in millimoles per litre which is required to cause the precipitation of a sol in two hours is called as:

Which of the following metal ions does not show color in aqueous medium?

The hormone responsible for preparing the uterus for implantation of fertilised egg is :

Match List I With List II

List I	List II
A. \(\frac{d^2 y}{d x^2}=\left(\frac{d y}{d x}\right)^{\frac{3}{2}}\)	I. order + degree \(=2\)
B. \(2\left(\frac{d^3 y}{d x^3}\right)^2+3\left(\frac{d^2 y}{d x^2}\right)+y\left(\frac{d y}{d x}\right)^2=e^x\)	II. order + degree \(=3\)
C. \(\frac{d y}{d x}+\frac{1}{d y / d x}=3\)	III. order + degree \(=4\)
D. \(\frac{d y}{d x}+x^2=5\)	IV. order + degree \(=5\)

If the potential difference across a capacitor is changed from 12 V to 24 V, the work done is W. How much work will be done if the potential difference is changed from 24 V to 48 V?

Which of the following is NOT a copper releasing IUDs?

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The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complex to yield three orbitals of lower energy, \(t_2\), set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_{\circ}\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_0\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_{\circ}>P\) ) or high spin ( \(\Delta_{\circ}<P\) ) complex. In tetrahedral coordination entity formation, the d-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
What will be the crystal field splitting energy for tetrahedral \(\left[ CoCl _4\right]^{2-}\) if its value for octahedral \(\left[ CoCl _6\right]^{4-}\) is \(18,000 cm^{-1}\) ?

The order and degree of the differential equation \(\frac{d^2 y}{d x^2}+3\left(\frac{d y}{d x}\right)^3+4 y=0\) are :

Drosophila melanogaster was chosen by Thomas Hunt Morgan for the experimental verification of the chromosomal theory of inheritance because of its:
(A) Many types of hereditary variations visible under a low-powered microscope
(B) Large number of progeny in single mating
(C) Clear differentiation of sexes
(D) Life cycle of about 4 weeks
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