The molality of a 10% (v/v) solution of di-bromine solution in \(\text{CCl}_4\) (carbon tetrachloride) is \(x\). \(x = \, \_\_\_\_\ \times 10^{-2} \, \text{M}\). (Nearest integer)Given:Molar mass of \(\text{Br}_2 = 160 \, \text{g mol}^{-1}\)Atomic mass of \(\text{C} = 12 \, \text{g mol}^{-1}\)Atomic mass of \(\text{Cl} = 35.5 \, \text{g mol}^{-1}\)Density of dibromine = \(3.2 \, \text{g cm}^{-3}\)Density of \(\text{CCl}_4 = 1.6 \, \text{g cm}^{-3}\)
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): \(\alpha\)-halocarboxylic acid on reaction with dil \(NH _3\) gives good yield of \(\alpha\)-aminocarboxylic acid whereas the yield of amines is very low when prepared from alkyl halides Reason (R): Amino acids exist in zwitter ion form in aqueous medium In the light of the above statements, choose the correct answer from the options given below :
The correct order of bond enthalpy \(\left( kJ mol ^{-1}\right)\) is :
\(O - O\) bond length in \(H _2 O _2\) is X than the \(O - O\) bond length in \(F _2 O _2\)The \(O - H\) bond length in \(H _2 O _2\)is Y than that of the\(O - F\) bond in \(F _2 O _2\)Choose the correct option for \(\underline{X} and \underline{Y}\) from those given below :
The graph which represents the following reaction is :
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : An aqueous solution of \(KOH\) when used for volumetric analysis, its concentration should be checked before the use Reason (R) : On aging,\(KOH\) solution absorbs atmospheric \(CO _2\)In the light of the above statements, choose the correct answer from the options given below :
In figure, a straight line is given for Freundrich Adsorption\((y=3 x+2505)\) The value of \(\frac{1}{ n }\)and\(\log K\)are respectively
The total number of six digit numbers, formed using the digits 4,5,9 only and divisible by 6 , is __
Let the sixth term in the binomial expansion of \(({\sqrt{2}^{log_{2}}(10-3^{x})+\sqrt[5]{2^{(x-2)log_{2}{3}}}})^{m}\), in the increasing powers of \(2^{(x-2)log_{2}3}\), be 21 If the binomial coefficients of the second, third and fourth terms in the expansion are respectively the first, third and fifth terms of an AP, then the sum of the squares of all possible values of x is
Let \(\alpha x+\beta y+y z=1\) be the equation of a plane passing through the point\((3,-2,5)\)and perpendicular to the line joining the points \((1,2,3)\) and \((-2,3,5)\) Then the value of \(\alpha \beta y\)is equal to ____
If the term without \(x\) in the expansion of \(\left(x^{\frac{2}{3}}+\frac{\alpha}{x^3}\right)^{22}\)is 7315 , then \(|\alpha|\) is equal to ___
The sum of the common terms of the following three arithmetic progressions\(3,7,11,15, \ldots , 399\), \(2,5,8,11, \ldots , 359\)and \(2,7,12,17, \ldots , 197,\) is equal to _____
Number of integral solutions to the equation \(x+y+z=21\), where \(x \geq 1\), \(y \geq 3\), \(z \geq 4\), is equal to ___
The point of intersection \(C\) of the plane \(8 x+y+2 z=0\) and the line joining the points \(A (-3,-6,1)\) and \(B (2,4,-3)\)divides the line segment \(AB\) internally in the ratio\(k : 1 \ If a , b , c (| a |,| b |, | c |\)are coprime) are the direction ratios of the perpendicular from the point \(C\)on the line \(\frac{1-x}{1}=\frac{y+4}{2}=\frac{z+2}{3}\), then \(| a + b + c |\)is equal to ___
The number of integral values of \(k\), for which one root of the equation \[2x^2 - 8x + k = 0\] lies in the interval \((1, 2)\) and its other root lies in the interval \((2, 3)\), is:
Benzyl isocyanide can be obtained by:Choose the correct answer from the options given below:
In the wet tests for identification of various cations by precipitation, which transition element cation doesn’t belong to group IV in qualitative inorganic analysis?
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): In expensive scientific instruments, silica gel is kept in watch-glasses or in semipermeable membrane bags.Reason (R): Silica gel adsorbs moisture from air via adsorption, thus protects the instrument from water corrosion (rusting) and/or prevents malfunctioning.In the light of the above statements, choose the correct answer from the options given below:
Which of the following compounds would give the following set of qualitative analysis?• (i) Fehling’s Test: Positive• (ii) Na fusion extract upon treatment with sodium nitroprusside gives a blood red colour but not
For \(\text{OF}_2\) molecule consider the following:[(A)] Number of lone pairs on oxygen is 2.[(B)] F--O--F angle is less than \(104.5^\circ\).[(C)] Oxidation state of O is \(-2\).[(D)] Molecule is bent ‘V’-shaped.[(E)] Molecular geometry is linear.Correct options are:
