Lanthanoids (Ln) when heated with nitrogen, form compounds of the type ______________

Match List - I with List - II

List - I (Vitamin)	List - II (Deficiency)
(A) Vitamin D	(I) Slow blood clotting
(B) Vitamin C	(II) Night blindness
(C) Vitamin K	(III) Rickets
(D) Vitamin A	(IV) Scurvy

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Aldol condensation reaction is not given by :

Which statement is not true for a detergent molecule ?

The aqueous solutions of the following salts were electrolyzed for 30 min with a current of 20 amp. Arrange the
following in the increasing order of the amount of metal deposited at the cathode.
(A) \(\mathrm{WCl}_6\)
(B) \(\mathrm{ZnSO}_4\)
(C) \(\mathrm{HfCl}_4\)
(D) \(\mathrm{AgNO}_3\)
(Atomic mass of: W =184 u, Zn = 65 u, Hf = 178 u and Ag = 108u)
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Read the Passage below and answer the question:
Aldehydes and Ketones, having atleast one methyl group linked to the carbonyl carbon atom (methyl Ketones), are oxidised by sodium hypohalite to sodium salts of corresponding carboxylic acids having one carbon atom less than that of carbonyl compound is converted to haloform. This oxidation does not affect a carbon - carbon double bond, if present in a molecule.
Which of the following statements are true?
A. \(CH_3CHO\) and \(CH_3CH_2CHO\) can be distinguished by Tollen's test.
B. \(CH_3CH_2CHO\) and \(CH_3COCH_3\) can be distinguished by Fehling's test.
C. \(CH_3CHO\) and \(C_6H_5CHO\) can be distinguished by Fehling's test.
D. \(HCHO, CH_3CHO\) can be distinguished by \(NaHCO_3\) test.
E. \(HCOOH, CH_3COOH\) can be distinguished by \(NaHCO_3\) test.
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Answer the question on the basis of passage given below:
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.
For the four successive transition elements given below, the stability of +2 oxidation state will be:
A. \(\operatorname{Cr}( Z =24)\)
B. \(Mn ( Z =25)\)
C. \(Fe ( Z =26)\)
D. \(Co ( Z =27)\)
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Out of the following compounds, which will give iodoform test:
A. Isopropyl alcohol
B. Isobutyl alcohol
C. Secondary butyl alcohol
D. Ethyl alcohol
E. Acetic Acid
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\((p+q)^2=p^2+2 p q+q^2=1\) represents Hardy Weinberg equation. It is used in:

The following data shows the percentage of rural and urban Indian households who have a high speed internet connection.

Year(x)	Rural Household \((y \%)\)	Urban Household\((y \%)\)
2020	2	6
2021	3	7
2022	3	9
2023	4	15
2024	5	20

Based on the above data, which of the following statements are correct?
(A) A straight line trend by the method of least squares for rural Indians \(y_t=3.4+0.7(x-2022)\)
(B) A straight line trend by the method of least squares for urban Indians is \(y_t=11.4+4.3(x-2022)\)
(C) The forecast for the year 2025 for urban group using the trend equation is \(22.2 \%\)
(D) The forecast for the year 2025 for rural group using the trend equation is \(5.5 \%\)
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Read the passage carefully and answer the questions
The transition metals and their compounds are known for their catalytic activity. This activity is ascribed to their ability to adopt multiple oxidation states and to form complexes. Vanadium(V) oxide (in Contact Process), finely divided iron, and nickel (in Catalytic Hydrogenation) are some of the examples. Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding). This has the effect of increasing the concentration of the reactants at the catalyst surface and also weakening of the bonds in the reacting molecules (the activation energy is lowering). Also because the transition metal ions can change their oxidation states, they become more effective as catalysts. Reaction between iodide and persulphate ions takes place as follows: \(2I^- + S_2O_8^{2-} \rightarrow I_2 + 2SO_4^{2-}\)
Which of the following catalyses the above reaction?

In a Young's double slit experiment, the fringe width is \(\beta\). If the entire apparatus is immersed in a liquid of refractive index \(\mu\), the new fringe width is

Which of the following is an ore of copper