The quantity of electricity produced in the oxidation of 67.2 L of \(H 2\) at STP is:

Calculate the magnetic moment of \(K _4\left[ Mn ( CN )_6\right]\) complex:

Why do the actinoids exhibit a higher number of oxidation states than lanthanoids?

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The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
What is the unit of rate constant for the reaction given in the passage

2.5 g of the following substances are dissolved in 500 mL of water. Arrange the resultant solutions in increasing order of their molarity ;
(A) \(C _6 H _{12} O _6\left(180 g mol ^{-1}\right)\)
(B) \(NH _2 CONH _2\left(60 g mol ^{-1}\right)\)
(C) \(NaCl \left(58.5 g mol ^{-1}\right)\)
(D) \(MgSO _4\left(120 g mol ^{-1}\right)\)
Choose the correct order from the options given below :

Number of unpaired electrons in the square planar [Pt(CN)₄]^2- are :

The compound does not respond to iodoform test is :

A uniformly charged conducting sphere of radius 1.3 m has a surface charge density of \( 70 \, \mu\text{C m}^{-2} \). What is the total electric flux leaving the surface of the sphere ?

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According to Valence Bond theory, the metal atom or ion under the influence of ligands can use its ( \(n-1\) )d, ns, np or \(n s, n p, n d\) orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on. These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding. While the VB theory, to a larger extent, explains the formation, structures and magnetic behaviour of coordination compounds, it suffers from the many shortcomings. The Crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. The five \(d\) orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands in a complex, it becomes asymmetrical and the degeneracy of the \(d\) orbitals is lifted. It results in splitting of the \(d\) orbitals. The pattern of splitting depends upon the nature of the crystal field.
Which of the following is not true about the limitations of VBT

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The DNA fragments can be separated by a technique known as gel electrophoresis. Since DNA fragments are negatively charged molecules, they can be separated by forcing them to move towards the anode under an electric field through a medium/matrix. The separated DNA fragments can be visualised only after staining the DNA with a compound known as ethidium bromide followed by exposure to UV radiation. The repeated amplification of DNA is achieved by the use of a thermostable DNA polymerase (isolated from a bacterium, Thermus aquaticus). After completion of the biosynthetic stage, the product has to be subjected through a series of processes before it is ready for marketing as a finished product. The downstream processing and quality control testing vary from product to product. The convention for naming restriction enzymes is the first letter of the name comes from the genus and the second two letters come from the species of the prokaryotic cell from which they were isolated.
In the nomenclature of restriction enzymes -

Match List-I with List-II

List-I	List-II
(A) The vectors \(\lambda \hat{i}+\hat{j}+2 \hat{k}\) and \(\hat{i}+\lambda \hat{j}+\hat{k}\) are perpendicular if \(\lambda\) is equal to	(I) 1
(B) The vectors \(3 \hat{i}+6 \hat{j}-\hat{k}\) and \(2 \hat{i}+\lambda \hat{j}-2 \hat{k}\) are collinear if \(\lambda\) is equal to	(II) -1
(C) The number of vectors of unit-length which are perpendicular to both the vectors \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{b}=3 \hat{i}-\hat{j}+5 \hat{k}\) is	(III) \(2 / 3\)
(D) If \(|\vec{a}|=1\) and \(\vec{a}+\vec{b}=\overrightarrow{0}\), then \(|\vec{b}|\) is equal to	(IV) 2

Choose the correct answer from the options given below :

A solution of \(\text{AgSO}_4\) is electrolysed for 30 minutes with a current of 5 amperes. What is the mass of silver deposited? (Given At. Mass of Ag = 108 g/mol)

\(\int_{-5 / 2}^{5 / 2}|x| d x\) is equal to :