Osmotic pressure of solution formed by mixing 50 ml of 0.2 M urea and 50 ml of 0.4 M glucose aqueous solution at 298 K will be : (\(R = 0.083\text{ L atm K}^{-1}\text{ mol}^{-1}\))

Read the passage carefully and answer the questions
Ethers with the general formula \(C _n H _{2 n+2} O\) and functional group C-O-C may be divided as symmetrical and unsymmetrical.
Lower symmetrical ether may be obtained by the dehydration of alcohols at low temperatures in the presence of protic acids,
such as \(H _2 SO _4\) and \(H _3 PO _4\) whereas at high temperature intramolecular dehydration takes place.
Formation of ether from primary alcohols is also accompanied by the formation of small amount of alkenes.
Due to the steric hinderance, secondary and tertiary alcohols undergo elimination reaction rather than substitution reaction yielding alkene as major product. Ethers can also be obtained by heating alkyl halides with sodium or potassium alkoxides.
Substituted Ethers (secondary & tertiary) can also be prepared using this method.
If primary halides are replaced with secondary and tertiary halides, alkenes are the major products. The compound with the lowest boiling point is

Milk sugar, a disaccharide, is composed of

The percentage dissociation of 0.1 M AgI solution having a resistance of 100 \(\Omega\) in an electrolytic cell with cell constant 4 \(\text{cm}^{-1}\) is:
\(\lambda_{\text{m}}^{\circ}\) \(\left( AgNO _3\right)\) = 8000 \(\Omega^{-1}\text{cm}^2\text{mol}^{-1}\)
\(\lambda_{\text{m}}^{\circ}\) \(\left( KNO _3\right)\) = 10500 \(\Omega^{-1}\text{cm}^2\text{mol}^{-1}\)
\(\lambda_{\text{m}}^{\circ}\) (KI) = 9500 \(\Omega^{-1}\text{cm}^2\text{mol}^{-1}\)

Decreasing order of freezing point of 0.1 M aqueous solution of following will be :
(A) \(\text{K}_4\text{[Fe(CN)}_6\text{]}\)
(B) \(\text{K}_2\text{SO}_4\)
(C) \(\text{NH}_2\text{CONH}_2\)
(D) \(\text{AlCl}_3\)
(E) \(\text{HCl}\)
Choose the correct answer from the options given below :

The IUPAC name of the given compound is

Answer the question on the basis of passage given below :
Aldehydes and ketones represent two essential classes of organic compounds which are extensively used in the synthesis of a wide variety of other organic molecules. Due to the inherent polarity of the central carbonyl group, these substances readily undergo nucleophilic addition reactions. Broadly speaking, these addition reactions can be categorized into two types: one in which simple addition of the nucleophilic reagent occurs across the \(> C = O\) bond, and the second type where the initial addition is subsequently followed by the elimination of a water molecule. A variety of ammonia derivatives, including hydroxylamine, hydraaine, phenylhydraxine, 2,4-dinitroplhemylhdrasine, and semicarbaside, all belong to this second category of reactions. These specific derivatives are fundamentally used for the identification and definitive characterization of aldehydes and ketones. Significantly, both types of nucleophilic addition reactions are strongly influenced by both steric and electronic factors. As a general rule, aliphatic aldehydes exhibit higher reactivity compared to aromatic aldehydes. The aliphatic aldehydes demonstrate the ability to reduce both Fehling's solution and Tollen's reagent, whereas aromatic aldehydes are limited to reducing only Tollen's reagent. In a similar manner to aldehydes, aromatic ketones are observed to be less reactive than aliphatic ketones towards all nucleophilic addition reactions. In a separate context, phenols and carboxylic acids both exhibit acidic properties in nature. Both classes of compounds readily dissolve in NaOH solution and cause blue litmus to turn red. However, carboxylic acids stand out as much stronger acids than phenols and thus can decompose sodium bicarbonate \(\left( NaHCO _3\right)\) with the distinct evolution of \(CO _2\) gas, a reaction which phenols do not undergo. It is important to note that both electron- donating and electron- withdrawing substituents significantly influence the acid strength of both aliphatic as well as aromatic carboxylic acids. Furthermore, unlike all other common aliphatic acids, formic acid uniquely possesses reducing properties and simultaneously does not display the typical reactions characteristic of the allyl group.
Which of the following statement(s) is/are correct?
A. Aldehydes give positive test with Tollen's reagent.
B. Ketones give positive test with Fehling's solution
C. Ketones do not react with Fehling's solution.
D. Aldehydes with Schiff's reagent restore pink colour
E. Ketones with Schiff's reagent restore pink colour.
Choose the correct answer from the options given below:

A shopkeeper has 300 Kg millet, a part of which he sells at \(10 \%\) profit. The remaining quantity of millet was of poor quality, and he sold it at a \(5\%\) loss. In the whole transaction, he made a profit of \(7 \%\). The quantity of the millet sold at \(5\%\) loss is :

The big holes in Swiss cheese are due to:
(A) Production of large amount of \(O _2\)
(B) Production of large amount of \(CO _2\)
(C) Production of large amount of \(H _2\)
(D) Bacterium Propionibacterium sharmanii
(E) Lactobacillus casei
Choose the correct answer from the options given below:

If A and B are events such that \(P(A \mid B)=P(B \mid A)\), then :

In Cu - Ag electrochemical cell Cu acts as

A bar magnet is cut into two equal halves along a plane parallel to the magnetic axis. The one parameter which remains unchanged is

The solution of the differential equation xdy - ydx = 0 represents