\(200\; mL\) of \(0.01\; M\; HCl\) is mixed with \(400 \;mL\) of \(0.01\; M\; H _{2} SO _{4}\). The \(pH\) of the mixture is

An organic compound \(A\), \(C_5H_8O\); reacts with \(H_2O\), \(NH_3\) and \(CH_3COOH\) as described below \(A\) is

Given below are two statements: Statements \(I\) : \(SbCI _5\) is more covalent than \(SbCI _3\) Statements \(II\): The higher oxides of halogens also tend to be more stable than the lower ones. In the light of the above statements, choose the most appropriate answer from the options given below

An organic compound (X) with molecular formula \(\mathrm{C}_3 \mathrm{H}_6 \mathrm{O}\) is not readily oxidised. On reduction it gives \(\mathrm{C}_3 \mathrm{H}_8 \mathrm{O}(\mathrm{Y})\) which reacts with HBr to give a bromide (Z) which is converted to Grignard reagent. This Grignard reagent on reaction with (X) followed by hydrolysis give 2,3-dimethylbutan-2-ol. Compounds \((\mathrm{X}),(\mathrm{Y})\) and \((\mathrm{Z})\) respectively are _______.

Which of the following acids is a vitamin?

Electricity is passed through an acidic solution of \( Cu^{2+} \) till all the \( Cu^{2+} \) was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is ______ mL.
(Nearest integer)
[Given :
\(Cu ^{2+}( aq )+2 e ^{-} \rightarrow Cu ( s ) E _{\text {red }}^0=+0.34 V\)
\(O _2(g)+4 H ^{+}+4 e ^{-} \rightarrow 2 H _2 O E _{ red }^0=+1.23 V\)
Molar mass of \(Cu =63.54~g~mol ^{-1}\)
Molar mass of \(O _2=32~g~mol ^{-1}\)
Faraday Constant \(=96500~C~mol ^{-1}\)
Molar volume at \(S T P=22.4 L\) ]

Major product \(\mathrm{B}\) of the following reaction has _______ \(\pi\)-bond.

The \(IUPAC\) symbols for the element with atomic number \(119\) would be:

The vapour pressure of \(30 \% ( w / v )\) aqueous solution of glucose is \(......\,mm\,Hg\) at \(25^{\circ}\,C\).[Given : The density of \(30 \%\) (w/v), aqueous solution of glucose is \(1.2\,g\,cm ^{-3}\) and vapour pressure of pure water is \(24\,mm\,Hg\).](Molar mass of glucose is \(\left.180\,g\,mol ^{-1}.\right)\)

A body of mass \(1\,kg\) falls freely from a height of \(100\,m,\) on a platform of mass \(3\,kg\) which is mounted on a spring having spring constant \(k = 1.25 \times 10^6\, N/m.\) The body sticks to the platform and the spring’s maximum compression is found to be \(x.\) Given that \(g = 10\,ms^{-2},\) the value of \(x\) will be close to ................ \(\mathrm{cm}\)

If \(\hat x,\,\hat y\) and \(\hat z\) are three unit vectors in three dimensional space , then the minimum value of \({\left| {\hat x + \hat y} \right|^2}\, + \,{\left| {\hat y + \hat z} \right|^2}\, + \,{\left| {\hat z + \hat x} \right|^2}\)

Choose the correct statements about the hydrides of group \(15\) elements. \(A\). The stability of the hydrides decreases in the order \(\mathrm{NH}_3>\mathrm{PH}_3>\mathrm{AsH}_3>\mathrm{SbH}_3>\mathrm{BiH}_3\) \(B\). The reducing ability of the hydrides increases in the order \(\mathrm{NH}_3<\mathrm{PH}_3<\mathrm{AsH}_3<\mathrm{SbH}_3<\mathrm{BiH}_3\) \(C\). Among the hydrides, \(\mathrm{NH}_3\) is strong reducing agent while \(\mathrm{BiH}_3\) is mild reducing agent. \(D\). The basicity of the hydrides increases in the order \(\mathrm{NH}_3<\mathrm{PH}_3<\mathrm{AsH}_3<\mathrm{SbH}_3<\mathrm{BiH}_3\)
Choose the most appropriate from the option given below.

Let the sum of the maximum and the minimum values of the function \(f(x)=\frac{2 x^2-3 x+8}{2 x^2+3 x+8}\) be \(\frac{m}{n}\), where \(\operatorname{gcd}(\mathrm{m}, \mathrm{n})=1\). Then \(\mathrm{m}+\mathrm{n}\) is equal to :