Nucleophilic addition will be most favoured in:

Arrange the following amines in increasing order of their basic strength in the gaseous phase
(A) \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{NH}_2\)
(B) C\(_6\)\(\mathrm{H}_5CH\)\(_2\)\(\mathrm{NH}_2\)
(C) (CH\(_3\))\(_3\)N
(D) CH\(_3\)\(\mathrm{NH}_2\)
Choose the correct answer from the options given below:

The amines which are soluble in water:
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
Choose the correct answer from the options given below:

The rate of a first order reaction at a constant temperature

Match List - I with List - II.

List - I	List - II
(A) Oxalic acid	(I) Hexane-1,6-dioic acid
(B) Acetophenone	(II)Ethane-1,2-dioic acid
(C) Phthalic acid	(III) Benzene-1,2-dicarboxylic acid
(D) Adipic acid	(IV) \(\Delta T_b=k_b m\)

Choose the correct answer from the options given below :

Match List - I with List - II. 

List – I	List – II
(A) SN1 reaction	(I) vic-dibromide
(B) Bromination of alkenes	(II) gem-dibromide
(C) Alkylidene halides	(III) Racemisation
(D) Dehydrohalogenation of haloalkanes	(IV) Saytzeff rule

Choose the correct answer from the options given below :

Match List I with List II.

List-I	List-II
A. Insulin	I. Female hormone
B. Thyroxine	II. Male sex hormone
C. Testosterone	III. Thyroid
D. Estradiol	IV. Blood glucose level

Choose the correct answer from the options given below :

Match List-l with List-ll
Let \(A\) be any invertible square matrix. Then

List-l	List-ll
(A) \(A-A^T\)	(I) \(|A| A^{-1}\)
(B) \(A A^T\)	(II) Skew-symmetric
(C) \(\operatorname{det}\left(A^{-1}\right)\)	(III) Symmetric
(D) \(\operatorname{adj} A\)	(IV) \([\operatorname{det}(A)]^{-1}\)

Choose the correct answer from the options given below :

Match List I with List II

LIST- I	LIST II
A. \(l x+m y+n z=d\) is	I. Equation of plane passing through a given point and normal to given vector
B. \(\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\) is	II. Equation of plane in normal form
C. \((\vec{r}-\vec{a}) \cdot \vec{n}=0\)	III. Plane passing through the intersection of two planes
\(D .\left(a_1 x+b_1 y+c_1 z+d_1\right)+\lambda\left(a_2 x+b_2 y+c_2 z+d_2\right)=0\)	IV. Intercept form of plane

Choose the correct answer from the options given below :

\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{d x}{1+\sqrt{\tan x}}\) is equal to:

In a binomial distribution, the probability of getting a success is \(\frac{1}{3}\) and the standard deviation is 2 . Then its mean is :

If the work function of a target is 1.25 eV and the wavelength of incident radiation is 2460 \( \text{\AA} \), the stopping potential required to stop the emitted electrons is :
Given : \( h = 6.6 \times 10^{-34} \text{ Js} \)

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).
Identify, the free living bacteria in soil, which can fix the atmospheric nitrogen.