Match List-I with List-I

LIST – I (Compounds)	LIST – II (Uses)
(A) Dichloromethane	(I) Freon R 22
(B) Trichloromethane	(II) Synthesis of chlorofluorocarbons
(C) Triiodomethane	(III) Propellant
(D) Tetrachloromethane	(IV) Antiseptic

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Calculate the mass of urea \((NH_2CONH_2)\) required to prepare \(2.5\ kg\) of a \(0.25\ molal\) aqueous solution.

Intermolecular hydrogen bonding is observed between chloroform and acetone.
Therefore, their binary solution will_
(A) Show positive deviation from Raoult's law
(B) Show negative deviation from Raoult's law
(C) Obey Raoult's law
(D) Show decrease in vapor pressure
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"Match List-I with List-II.

List-I	List-II
(Complexes)	(Hybridisation)
(A) \([\text{Ni(CO)}_4\text{]}\)	I. \(\text{sp}^3\)
(B) \([\text{Ni(CN)}_4\text{]}^{2-}\)	II. \(\text{dsp}^2\)
(C) \([\text{Fe(CN)}_6\text{]}^{4-}\)	III. \(\text{d}^2\text{sp}^3\)
(D) \([\text{MnF}_6\text{]}^{4-}\)	IV. \(\text{sp}^3\text{d}^2\)

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Read the passage carefully and answer the questions based on the passage:
Alcohols are versatile compounds as they can act as both nucleophile and electrophile. They undergo reactions based on cleavage of O-H and C-O bonds. The cleavage of O-H bond reflects the acidic character of alcohols. However they are weaker acids than water, phenol and carboxylic acids. Alkoxide ion formed by loss of proton from the OH group of alcohols reacts with water to form the corresponding conjugate acid - base pair. They act as Bronsted base due to presence of unshared electron pairs on oxygen.Both alcohols and phenol react with carboxylic acids, acid chlorides and anhydrides to form esters. The introduction of acetyl group in alcohols or phenol is known as acetylation. Alcohols react with hydrogen halides to form alkyl halides which form the basis of Lucas test. They also undergo acid catalyzed dehydration to form alkenes. Alcohols can be easily oxidized with variety of oxidizing agents. The nature of the product depends on the type of oxidizing agent and the nature of alcohol.
Pyridinium chlorochromate is used for:

Which of the following does not belong to the first transition series ?

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From the statements given, choose the correct option based on the Arrhenius equation
\(k = Ae^{-E_{a}/RT}\)

What sum of money is needed to invest now, so as to get ₹5000 at the beginning of every month forever, if the money is worth \(6\%\) per annum compounded monthly?

Match List-I with List-II

List-I (Conditions)	List-II (Type of matrix)
(A) Square matrix \(A\)	(I) \(A=\left[a_{i j}\right]_{m \times m}\), where \(\left\{\begin{array}{ll}a_{i j}=0 & , i \neq j \\ a_{i j}=k & , i=j\end{array}\right.\) where \(k \neq 0\) is constant
(B) Scalar Matrix \(A\)	(II) \(A=\left[a_{i j}\right]_{m \times m}\)
(C) Diagonal matrix \(A\)	(III) \(A=\left[a_{i j}\right]_{m \times m}\), where \(\left\{\begin{array}{ll}a_{i j}=0 & , i \neq j \\ a_{i j}=1 & , i=j\end{array}\right.\)
(D) Identity matrix \(A\)	(IV) \(A=\left[a_{i j}\right]_{m \times m}\), where \(a_{i j}=0, i \neq j\)

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The molar conductivity of KNO\(_3\), NaCl and KCl are 111, 128 and 152 S cm\(^2\) mol\(^-\)\(\mathrm{^1}\), respectively. The molar conductivity of NaNO\(_3\) will be:

Which of the following inequalities are NOT correct?
(A) If \(a>1, b>1\), then \(\log _b a+\log _a b \leq 2\)
(B) For any real number \(x,\left(9^x+9^{1-x}\right) \geq 9\)
(C) If \(a, b, c\) are non-zero real numbers of the same sign, then \(\left(\frac{a}{b}+\frac{b}{c}+\frac{c}{a}\right) \leq 3\)
(D) If \(a, b, c\) are three distinct real numbers, then \((a+b)(b+c)(c+a) \geq 8 a b c\)
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Match List-I with List-II

List-I (Electromagnetic Wave Wave)	List-II (Application)
(A) Microwaves	(I) Photographs during foggy season and night vision cameras
(B) X-rays	(II) Radar
(C) Gamma rays	(III) Photographs internal parts of human body
(D) Infrared Rays	(IV) Radiography for malignant tumors in cancer treatment

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