Two infinitely long parallel conductors carrying currents \(I_1\) and \(I_2\) are at distance d apart. The force F on length L of one conductor due to the other is :

The far point of a myopic person is 80 cm. The power of corrective lens will be

If the kinetic energy of the particle is increased to 16 times its previous value. The percentage change in de Broglie wavelength of the particle is:

A strong magnetic field is applied on a stationary electron :

Three capacitors, C1, C2, C3 are connected in series. This combination is connected in parallel with capacitor C4. C1 = C2 = C3 = 30 \( \mu F \) and C4 = 10 \( \mu F \). Now a potential 400 V is applied across the combination. The total charge across the combination of capacitors is

A telescope has an objective of focal length 50 cm and eyepiece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distant vision on a scale 200 cm away from the objective. Calculate the separation between objective and eyepiece :

The angle of minimum deviation of an equilateral prism is equal to its refracting angle. The refractive index of the material of the prism is :

On simplifying \(\cot \left(2 \tan ^{-1} x\right)\) where \(|x|<1\), we get:

For the following reaction, at equilibrium the Nernst equation may be written as:
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Cu}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Zn}^{2+}(\mathrm{aq})+\mathrm{Cu}(\mathrm{s})\)

In the given circuit \( L = \frac{20}{\pi} \text{ H}, R = 2 \text{ k}\Omega \) and \( C = \frac{5}{\pi} \mu F \) are in series across a 220 V, 50 Hz ac source.

The peak voltage drop between A and B is:

Which of the following is the correct statement for hybridization of C-atom and number of \(\sigma\) and \(\pi\) bonds in the Carbonyl group?

Arrange the following as per statistical inferences :
(A) Data Analysis
(B) Population
(C) Making Inferences
(D) Data Collection
Choose the correct answer from the options given below :

Read the following passage carefully and answer the given questions.
Restriction endonuclease on finding its specific recognition sequence, bind to the DNA and cut each of the two strands of the double helix at specific points in their sugar -phosphate backbones. Each restriction endonuclease recognises a specific palindromic nucleotide sequences in the DNA. 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. This can be achieved by treating the bacterial cells/plant or animal tissue with enzymes such as lysozyme (bacteria), cellulase (plant cells), chitinase (fungus). Now a days the most commonly used matrix is agarose which is a natural polymer extracted from sea weeds. The DNA fragments separate (resolve) according to their size through sieving effect provided by the agarose gel. The first restriction endonuclease-Hind II, whose functioning depended on a specific DNA nucleotide sequence was isolated and characterised five years later. It was found that Hind II always cut DNA molecules at a particular point by recognising a specific sequence of six base pairs. In addition to 'ori', the vector requires a selectable marker, which helps in identifying and eliminating non-transformants and selectively permitting the growth of the transformants. Transformation is a procedure through which a piece of DNA is introduced in a host bacterium. Normally, the genes encoding resistance to antibiotics such as ampicillin, chloramphenicol, tetracycline or kanamycin, etc., are considered useful selectable markers for E. coli.
A natural polymer extracted from sea weeds used in the field of biotechnology is: