The increasing order of stability is :
(A) \(\left[ Cu \left( NH _3\right)_4\right]^{2+}\)
(B) \(\left[ Cu \left( CN _4\right]^{2-}\right.\)
(C) \(\left[ Cu (e n)_2\right]^{2+}\)
(D) \(\left[ Cu \left( H _2 O \right)_4\right]^{2+}\)
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Which of the following pairs of solutions are isotonic?

An aromatic compound 'A' of molecular formula C7H7ON undergoes a series of reaction as :
C7H7ON $\xrightarrow{Br_2/KOH}$ B $\xrightarrow{NaNO_2+HCl}$ C $\xrightarrow{CH_3CH_2OH}$ D
A
Identify compound D :

2-Methyl propene can be prepared by the reaction of:

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In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
In context of the Lanthanoids, which of the following statements is/are NOT correct?
A. There is a gradual decrease in the radii of the members with increasing atomic number in the series
B. Availability of \(4f\) electrons results in the formation of compounds in \(+4\) oxidation state for all the members of the series
C. Because of similar properties, the separation of lanthanoids is not easy
D. \(La(OH)_3\) is least basic among hydroxides of lanthanoids
E. Ce can act as an oxidising agent
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Choose the correct statement about molar conductivity, \(\Lambda_{m}\)

Match List I with List II.

List-I	List-II
A. \(KMnO _4\)	I. Orange
B. \(K _2 Cr _2 O _7\)	II. Green
C. \(K _2 CrO _4\)	III. Yellow
D. \(K _2 MnO _4\)	IV. Purple

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If \(A\) and \(B\) are two invertible matrices, then which of the following statements are correct?
(A) \(\left|A^{-1}\right|=|A|^{-1}\)
(B) \(\operatorname{adj} A=|A| A^{-1}\)
(C) \((A B)^{-1}=A^{-1} B^{-1}\)
(D) \((A+B)^{-1}=A^{-1}+B^{-1}\)
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If \(A\) is an invertible matrix of order 2 , then \(\operatorname{det}\left((\operatorname{adj} A)^{-1}\right)\) is equal to

The magnetisation at the centre of a bar magnet (magnetic length 10 cm), having pole strength 6.3 A m, and area of cross-section \(A = 0.70 \text{ cm}^2\) is

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Werner in 1898, propounded his theory of coordination compounds. In coordination compounds metals show two types of linkages (valences)-primary and secondary. The primary valences are normally ionisable and are satisfied by negative ions. The secondary valences are non-ionisable. These are satisfied by neutral molecules or negative ions. The secondary valence is equal to the coordination number and is fixed for a metal. The ions or group bound by the secondary linkages to the metal have characteristic spatial arrangements corresponding to the different coordination numbers. Both double salts as well as complexes are formed by the combination of two or more stable compounds in stoichiometric ratio. However, they differ in the fact that double salts such as carnallite, Mohr's salt, potash alum etc. dissociate into simple ions completely when dissolved in water. But complex ions do not dissociate completely into simple ions.
Which of the following statement is correct as per Werner theory?

Choose the scientists associated with the antibiotic "Penicillin":
(A) Alexander Fleming
(B) James Watson
(C) Ernest Chain
(D) Howard Florey
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A fair coin is tossed 100 times
Find the probability of getting head an odd number of times