The Young's double slit experiment is performed with monochromatic blue, green, yellow and red lights, respectively. Arrange the distance (x) of 4th maxima from the central maximum for all the colors in decreasing order:
(A) \( X_{red} \)
(B) \( X_{blue} \)
(C) \( X_{green} \)
(D) \( X_{yellow} \)
Choose the correct answer from the options given below:

A current of \(1.0\) mA is flowing through a potentiometer wire of length 4 m and of resistance \( 40 \, \Omega \). The potential gradient of the potentiometer wire will be :

In Kirchhoff's loop rule

Where is donor energy level located?

A bar magnet of magnetic moment \(M_1\) is axially cut into two equal parts. If these two pieces are arranged perpendicular to each other in the shape of L, the resultant magnetic moment becomes \(M_2\), then the value of \(\frac{ M _1}{ M _2}\) is :

An ac source has a frequency of 60 Hz. The time taken for the voltage to change from peak value to zero is :

A charged particle carrying charge \(q = 1 \mu C\) moves in a uniform magnetic field with velocity \(v_1 = 10^6 \text{ m/s}\) at an angle of \(45^\circ\) with the x-axis in the xy-plane and experiences a force \(F_1 = 0.4\sqrt{2} \text{ N}\) along the negative z-axis. When the same particle moves with velocity \(v_2 = 10^6 \text{ m/s}\) along the z-axis, it experiences a force \(F_2\) in the y-direction. Find the magnitude of the magnetic field.

Read the given paragraph carefully and answer the following questions:
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). There are some basic steps in genetically modifying an organism (i) identification of DNA with desirable genes; (ii) introduction of the identified DNA into the host; (iii) maintenance of introduced DNA in the host and transfer of the DNA to its progeny. Agrobacterium tumifaciens, a pathogen of several dicot plants is able to deliver a piece of DNA known as 'T-DNA' to transform normal plant cells into a tumor and direct these tumor cells to produce the chemicals required by the pathogen. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol. Selection of recombinants due to inactivation of antibiotics is a cumbersome procedure because it requires simultaneous plating on two plates having different antibiotics. Therefore, alternative selectable markers have been developed which differentiate recombinants from non-recombinants on the basis of their ability to produce colour in the presence of a chromogenic substrate. In this, a recombinant DNA is inserted within the coding sequence of an enzyme, ß-galactosidase. This results into inactivation of the gene for synthesis of this enzyme, which is referred to as insertional inactivation.
Which one gives blue colored colonies if the plasmid in the bacteria does not have an insert?

\(y=\log _e\left(\frac{1-x^2}{1+x^2}\right)\), then \(\frac{d y}{d x}\) is equal to:

If a capacitor is connected in an ac circuit, what is the phase relationship between current and potential difference applied across the capacitor ?

Match List-I with List-II

List-I (Techniques)	List-II (Related features)
(A) ELISA	(I) Production of mature insulin
(B) PCR	(II) Antigen-antibody interaction
(C) Autoradiograph	(III) Amplification of DNA
(D) Recombinant DNA technology	(IV) Photographic film

Choose the correct answer from the options given below:

Identify the carbohydrate which is not a polysaccharide

The finches found on Galapagos Islands were originally ___________ .