Chemically, which of the following hormones is a polypeptide?

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\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Oxidation states of Mn in \(MnO _2, KMnO _4\) and \(K _2 MnO _4\) are

Select the correct statement.

\(CH_3CH_2OH \xrightarrow[413\ K]{H_2SO_4}\) A. Identify "A" and mention the name of mechanism through which it is formed?

The magnetic moment of \(Cu ^{2+}\) ion \(( Z =29)\) is :

Toluene on chlorination in presence of UV light gives

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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 major product in the following reaction is

If the total cost and total revenue of a company that produces and sells \(x\) units of a particular product are \(C(x)=5 x+350\) and \(R(x)=50 x-x^2\) respectively, then which of the following is/are the breakeven values:
(A) \(x=10\)
(B) \(x=25\)
(C) \(x=45\)
(D) \(x=30\)
Choose the correct answer from the options given below:

A radioactive substance decays with a rate constant of 9.2 x 10^-3 min^-1 Time taken for \(75 \%\) of the sample to decompose is

Match List-I with List-II

List-I (Reaction property)	List-II (Formula)
(A) Half-life of decomposition of gaseous ammonia on hot platinum surface	(I) \(\frac{1}{t} \ln \left(\frac{[A]_0}{[A]_t}\right)\)
(B) Instantaneous rate	(II) \(\frac{[R]_0}{2 k}\)
(C) Rate constant of inversion of cane sugar	(III) \(-\frac{d x}{d t}\)
(D) Half-life of acid hydrolysis of methyl acetate	(IV) \(\frac{\ln (2)}{k}\)

Choose the correct answer from the options given below:

Three students, A, B and C can respectively solve \(50\%, 25\%\) and \(20\%\) of the problems in a book. A particular problem is selected at random from the book. The probability that at least one of them will solve the problem is

The electric field at the centre of a semi-circular arc of radius ' \(r\) ', which is charged uniformly and has linear charge density \(\lambda\) is :

What is the product formed when tertiary alcohol is treated with alkaline \(KMnO _4\) at elevated temperature?