When an insect feeds on the Bt plant, the insect dies due to the conversion of inactive protein to active protein in:

Which one of the following guides the entry of the pollen tube into the embryo sac?

Write the steps in sequential order from fertilisation to implantation
(A) Mitosis in zygote
(B) Embedding of blastocyst in endometrium
(C) Formation of blastocyst from morula
(D) Male gamete and secondary oocyte fuses to form zygote
(E) Formation of morula
Choose the correct answer from the options given below :

Identify the incorrect statement about the human genome -

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Statins are produced by:

What amount of energy would be at the producer level if it is 50 KJ at third trophic level?

The type of antibodies that produce the immune response in the presence of allergens like pollen, dust, animal dander etc. is _________.

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered.
The factors such as concentration, temperature, preasure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k|A|^a[B]^y\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
Table: Initial rate of formation of NO₂

S.No.	Initial [NO]/mol L-1	Initial [O2]/mol L-1	Initial rate of formation of [NO2]/mol L-1s-1
1.	0.30	0.30	0.096
2.	0.60	0.30	0.384
3.	0.30	0.60	0.192
4.	0.60	0.60	0.768

Based on the above observations, the rate of formation of NO₂ can be represented as

Match List I with List II and choose the correct answer from the options given below:

List - I	List - II
(A) \(\int \frac{\sin x}{1+\cos x} d x\)	(I) \(e^{\tan ^{-1} z}+C\)
(B) \(\int \frac{1}{1-\tan x} d x\)	(II) \(\log (\log x+1)+C\)
(C) \(\int \frac{e^{\tan ^{-1} x}}{1+x^2} d x\)	(III) \(-\log |1+\cos x|+C\)
(D) \(\int \frac{1}{x+x \log x} d x\)	(IV) \(\frac{x}{2}-\frac{1}{2} \log |\cos x-\sin x|+C\)

Consider a line \(\vec{r}=(\hat{i}+4 \hat{j})+\lambda(2 \hat{i}-2 \hat{j}+3 \hat{k})\), then which of the following statements are correct?
(A) It passes through point \((9,-4,12)\)
(B) It passes through point \((1,4,-1)\)
(C) Its direction cosine's are \(\frac{2}{\sqrt{17}}, \frac{-2}{\sqrt{17}}, \frac{3}{\sqrt{17}}\)
(D) Its Cartesian equation is \(\frac{x-1}{2}=\frac{y-4}{-2}=\frac{z}{3}\)
Choose the correct answer from the options given below:

Which of the following alkyl halide will undergo \(S_N1\) reaction most readily :

Solution of the differential equation \(y \log _e y d x-x d y=0\) is (Where \(c\) is an arbitrary constant)

For the reaction, \(R \rightarrow P\), the \(\log \left([ R ]_0 /[ R ]\right)\) verses time \(( t )\) plot is given below. What is the order of reaction and what are the units of rate constant ?