Monochromatic lights of wavelengths \( 620 \text{ nm} \) and \( 626 \text{ nm} \), respectively are used to study diffraction at a single slit of aperture \( 0.7 \text{ mm} \). The distance between the slit and the screen is \( 1.8 \text{ m} \). The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is :

The resistance of a cylindrical conductor is :

A lens is formed by placing the plane faces of two identical plano-convex lenses (each of focal length 40 cm) touching each other. It is used to obtain a real, inverted image of the same size as the object. The distance of the object from the lens is:

Assume the earth to be a spherical conductor of radius 6400 km. Calculate the capacitance of earth.

There is a solenoid of length 1 m has a radius 1 cm and is made up of 1000 turns, carrying a current of 10 A. The magnitude of the magnetic field inside the solenoid is

A p-type semiconductor can be obtained by adding

When a dielectric material placed in uniform electric field, which of the following option is NOT CORRECT:

All natural and artificial radioactive decay of unstable nuclei take place by

Which one is not a barrier method for birth control?

Read the following passage carefully and answer the given questions
The earthworm is referred to as the farmer's friend. This is because they help in the breakdown of complex organic matter as well as in loosening of soil. Similarly, decomposers break down complex organic matter into inorganic substances like carbon dioxide, water and nutrients and the process is called decomposition. Dead plant remains such as leaves, bark, flowers and dead remains of animals, including fecal matter, constitute detritus, which is the raw material for decomposition. Some of the steps in the process of decomposition are fragmentation, catabolism, leaching, humification etc.
The process of breaking down of detritus into smaller particles is called:

If the relation \(R: A \rightarrow B\), where \(A=\{2,3,4\}\) and \(B=\{3,4,5\}\) is defined by \(R=\{(x, y): x < y, x \in A, y \in B\}\), then

Which of the following statements are true regarding Lanthanoid elements?
i. \(\text{La}(\text{OH})_3\) is the basic hydroxide of Lanthanoids.
ii. \(\text{Zr}^{4+}\) and \(\text{Hf}^{4+}\) ions have almost similar ionic sizes.
iii. \(\text{Ce}^{4+}\) acts as an oxidising agent.
iv. Trivalent Lanthanoid ions are not coloured.
Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes). B. thuringiensis forms protein crystals during a particular phase of their growth. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (a-1-antitrypsin) used to treat emphysema. In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk (2.4 grams per litre). The milk contained the human alpha-lactalbumin and was nutritionally a more balanced product for human babies than natural cow-milk. A nematode Meloidegyne incognitia infects the roots of tobacco plants and causes a great reduction in yield. A novel strategy was adopted to prevent this infestation which was based on the process of RNA interference (RNAi). This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA (silencing). Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment. ELISA is based on the principle of antigen-antibody interaction. Infection by pathogen can be detected by the presence of antigens (proteins, glycoproteins, etc.) or by detecting the antibodies synthesised against the pathogen.
In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk (2.4 grams per litre). The milk contained a protein called _______ which was nutritionally a more balanced product for human babies than natural cow-milk.