Which of the following factors can influence Hardy-Weinberg equilibrium?

Identify the correct statement about decomposition
(A) The rate of decomposition is quicker, if detritus is rich in nitrogen and sugar.
(B) Decomposition is largely an oxygen requiring process.
(C) The rate of decomposition is slow, if detritus is rich in chitin and lignin.
(D) The rate of decomposition is slow, if detritus is rich in nitrogen and sugar.
Choose the correct answer from the options given below:

Genetically modified crops have advantages over normal crops as they are:
(A) More tolerant to cold, drought, salt and heat
(B) Less efficient in mineral usage
(C) Less reliant on chemical pesticides
(D) Nutritionally enriched
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Cocaine is obtained from

Sex chromosomes of female in chicken are:

Match List-l with List-II

List-l (Structure)	List-II (Relation)
(A) Thalamus	(I) Seed
(B) Nucellus	(II) Fruit
(C) Ovule	(III) Germination
(D) Micropyle	(IV) Perisperm

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Read the following paragraph and answer the given questions.
Bio-fertilisers are organisms that enrich the nutrient quality of the soil like cyanobacteria, while there are organisms that help to control plant diseases and pests. The very familiar beetle, the ladybird and dragonflies are useful to get rid of aphids and mosquitoes, respectively. An example of microbial biocontrol agents that can be introduced to control butterfly caterpillars is certain bacteria, which are available in sachets in the form of dry spores. These spores are mixed with water and sprayed onto vulnerable plants. Trichoderma species that are very common in the root ecosystem, are very effective biocontrol agents of several plant pathogens.Baculoviruses attack insects and other arthropods. Usage of these viruses is desirable when an ecological sensitive area is being treated..
A farmer wants to get rid of aphids, but does not want to use insecticide, Choose the best option for him?

If potential difference V applied across a metallic wire is increased by V, how will the drift velocity of the electrons change?

Derivative of \(x^x\) with respect to \(x\) \(log\) \(x\) is

If \(f(x)=2 x^3-15 x^2+36 x+1, x \in[1,5]\), then the absolute minimum value of \(f(x)\) is:

Two parallel beams of monochromatic light pass through a long slit of width 0.2 mm one by one. The angular divergence in which most of the light is diffracted for both the beams are \( 2.25 \times 10^{-3} \text{ rad} \) and \( 4.50 \times 10^{-3} \text{ rad} \) respectively. If the wavelength of the first beam is \( \lambda_1 = 3000 \text{ Å} \), then the wavelength of the second beam is:

Match List-I with List-I

List-I	List-II
A. Electric field outside a uniformly charged thin spherical shell	(I) zero
B. Electric field inside a uniformly charged thin spherical shell	(II) \(\frac{\lambda}{2 \pi \epsilon_0 r} \vec{n}\)
C. Electric field due to an infinitely long straight uniformly charged wire	(III) \(\frac{\sigma}{2 \epsilon_0} \vec{n}\)
D. Electric field due to a uniformly charged infinite plane sheet	(IV) \(\frac{k q}{r^2} \vec{r}\)

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The random variable X has a probability distribution \(P(X=r)=\left\{\begin{array}{ll}r k, & \text { if } r \leq 2, \\ (r-1) k, & \text { if } 2 < r \leq 4, \text { where } r \in N \cup\{0\} \text { and } k \in R . \\ 0, & \text { otherwise },\end{array}\right.\), where \(n\) is the set of natural numbers
(A) \(k=\frac{1}{9}\)
(B) \(P(2 \leq X \leq 3)=\frac{1}{2}\)
(C) \(P(X=4)=\frac{1}{3}\)
(D) \(P(X>1)=\frac{7}{8}\)
Choose the correct answer from the options given below: