If a particle is dropped from a height X. The de-Broglie wavelength of the particle as a function of height is proportional to :

Monochromatic lights of wavelengths \(6 2 0 ~ n m\) and \(6 2 6 ~ n m\), respectively are used to study diffraction at a single slit of aperture \(0 . 7 ~ m m\). The distance between the slit and the screen is 1.8 m . The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is

Two nuclei have their mass numbers in the ratio of \(1: 3\). The ratio of their nuclear densities would be :

An a.c. source of 200 V is connected through a diode 'D' to a capacitor as shown in figure. Find the maximum potential difference across the capacitor :

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm, coming from a distant object, the limit of resolution of the telescope is close to :

The equipotential surfaces due to an isolated point charge \( q < 0 \) are:

A source of electromagnetic wave of 400 W produces \(10^{20}\)photons per second. Identify the part of the electromagnetic spectrum to which these radiations belong:

DNA recombinant technology involves the use of restriction endonucleases. After having cloned the gene of interest and having optimised the conditions to induce the expression of the target protein, one has to consider producing it on a large scale. The cells harbouring cloned genes of interest may be grown on a small scale in the laboratory. In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition sites within the vector will generate several fragments, which will complicate the gene cloning. In Biolistics or gene gun method cells are bombarded with high velocity micro particles of gold or tungsten coated with DNA. The ligation of alien DNA is carried out at a restriction site present in one of the two antibiotic resistance genes. For example, you can ligate a foreign DNA at the BamH I site of tetracycline resistance gene in the vector pBR322. Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA along with other macromolecules such as RNA, proteins, polysaccharides and also lipids. The RNA can be removed by treatment with ribonuclease whereas proteins can be removed by treatment with protease. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol.
pBR322, which is used in recombinant DNA technology, is a -

eV (electron volt) is the unit of

In Sickle-cell anemia the substitution of amino acid in the globin protein results due to the single base substitution at the sixth codon of the \beta-globin gene from _________.

Given a matrix A of order \(3 \times 3\). If \(|A|=3\) then the value of \(|A(\operatorname{adj} A)|\) is:

If the area of a triangle with vertices \((-3,0),(3,0)\) and \((0, k)\) is 9 sq. units, then \(k\) equals

If a matrix \(A\) is both symmetric and skew-symmetric, then :