The standard reduction potentials of \(Mg^{2+}/Mg, Pb^{2+}/Pb\) and \(Sn^{2+}/Sn\)
are \(-2.36, -0.13\) and \(-0.14\) V respectively.
The reaction \(X + Y^{2+} \rightarrow X^{2+} + Y\) will be spontaneous when :

Choose the correct statements from the following regarding the reaction kinetics (A) A catalyst does not affect the Gibbs energy of a reaction. (B) A catalyst alters the equilibrium constant. (C) For a zero order reaction, half life is dependent on the initial concentration of the reactant. (D) Orientation of reactant molecules affects the reaction rate. Choose the correct answer from the options given below:

The quantity of charge required to obtain one mole of aluminum from \(\text{Al}_2\text{O}_3\) is :

Match the complex given in List - I with the number of unpaired electrons given in List - II

List-I (Complex)	List-II (Number of unpaired electrons (n))
(A) \(\left[ NiCl _4\right]^{2-}\)	(I) 5
(B) \(\left[ Co \left( NH _3\right)_6\right]^{3 +}\)	(II) 1
(C) \(\left[ FeF _6\right]^{3-}\)	(III) 2
(D) \(\left[ Fe ( CN )_6\right]^{3-}\)	(IV) \(0\)

Choose the correct answer from the options given below:

Which of the following is not caused due to deficiency of hormones?

Select the correct increasing order of conductivity of the given complexes in their solution
(A) \(\left[ Co \left( NH _3\right)_6\right] Cl _3\)
(B) \(\left[ Cr \left( NH _3\right)_5 Cl \right] Cl _2\)
(C) \(\left[ Co \left( NH _3\right)_4 Cl _2\right] Cl\)
(D) \(\left[ Co \left( NH _3\right)_3 Cl _3\right]\)
Choose the correct answer from the options given below:

Elements of group-15, 16 and 17 form compounds with hydrogen with general formula MH3, H2M and HX (called hydrogen halides). Stability of these hydrides, along with M-H bond strength and basic nature decreases down the group. Boiling point of these hydrides mainly depends on the strength of their inter molecular forces.
Which of the following is liquid at \(20^{\circ} C\) ?
A. HCl
B. HI
C. HF
D. NH3
E. HBr
Choose the correct answer from the options given below:

Which of the following is NOT correct about a Sinking Fund?

If \(A, B\) are symmetric matrices of the same order, then \(A B-B A\) is a :

\(\int_0^2\left(x^2+1\right) d x\) is equal to

In a coil of self inductance 10 H, the rate of change of current is \( 4 \text{ A s}^{-1} \). The electromotive force (emf) induced in the coil will be

The kinetic energy of an \(\alpha\)-particle incident on gold foil is reduced to half of its initial value. How does the distance of closest approach change?

Microbes in human welfare Microbes are a very important component of life on earth. we use microbes and microbially derived products almost every day, like LAB to make curd, yeast to make bread, adding flavor and texture to cheese, producing antibiotics etc. The addition of LAB, improves the milk quality by increasing vit. B12. Cheese is one of the oldest food items in which microbes are used. For example, large holes in Swiss cheese are due to CO2 produced by the bacterium Propionibacterium sharmanii. The BOD test measures the rate of uptake of oxygen by microorganisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water. The greater the BOD of waste water, the more is its polluting potential. In anaerobic sludge digesters, bacteria produce a mixture of gases like methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as a source of energy. Biofertilisers are organisms that enrich the nutrient quality of the soil. The main sources of biofertilisers are bacteria, fungi and cyanobacteria. You have studied about the nodules on the roots of leguminous plants formed by the symbiotic association of Rhizobium. These bacteria fix atmospheric nitrogen into organic forms, which is used by the plant as a nutrient. Other bacteria can fix atmospheric nitrogen while free-living in the soil (examples Azospirillum and Azotobacter).
Which statement is true about LAB ?