Identify the correct statements.
(A) Electric charge is quantized.
(B) Electric charge on any object is always an integral multiple of e.
(C) The coulomb force is weaker than the gravitational force.
(D) The coulomb force is a conservative force.
Choose the correct answer from the options given below:

Two charges, \(+ 20 \, μC\) and \(+ 40 \, μC\) are placed at a separation of 4 cm. The electric potential due to the pair at the middle point of the line joining the two charges is:

What is the de-Broglie wavelength associated with an electron, accelerated through a potential difference of 10 kV

The phenomenon of polarisation of light confirmed that light waves are

A current of 10 A in primary of a circuit is reduced to zero at a uniform rate in \( 10^{-3} \text{ s.} \) If coeff. of mutual inductance is 3 H, the induced emf in the secondary would be :

There are two metallic spheres A and B having radii equal to R and 2R respectively. A charge Q is distributed on these two spheres such that the two spheres have equal surface charge densities. The ratio of charge on A to charge on B is :

Match List-I with List-II

List-I (Law/Rule)	List-II (Application)
(A) Faraday's law	(l) Determines direction of force on a current carrying wire in a magnetic field
(B) Lenz's law	(II) Obeys principle of energy conservation
(C) Fleming's right-hand rule	(III) Determines direction of induced current
(D) Fleming's left-hand rule	(IV) Electromagnetic Induction

Choose the correct answer from the options given below :

The standard reduction potentials are given as:
\(\begin{array}{l}
E_{K^{+} / K}^{\circ}=-2.93 V \\
E_{Ag^{+} / Ag}^{\circ}=+0.80 V \\
E_{Cu^{2+} / Cu}^{\circ}=+0.34 V \\
E_{Ni^{2+} / Ni}^{\circ}=-0.25 V \\
E_{Li^{+} / Li}^{\circ}=-3.05 V
\end{array}\)
Arrange the following metals in increasing order of their reducing power:
A.K
B. Ag
C. Cu
D. Ni
E. Li
Choose the correct answer from the options given below:

Match List-l with List-II

List-l (Genetic disorder)	List-II (Characteristics)
(A) Haemophilia	(I) Mutation in HBB gene
(B) Thalassemia	(II) Sex-linked recessive disease
(C) Phenylketonuria	(III) Aneuploidy
(D) Klinefelter's syndrome	(IV) Mental retardation and reduced hair and skin pigmentation

Choose the correct answer from the options given below:

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.
Agrobacterium tumefaciens, a pathogen of several dicot plants, is able to deliver a piece of DNA known as:

Humification leads to :

For what value of \(\alpha\), the function \(f\) defined by \(f(x)=\left\{\begin{array}{ll}\alpha\left(x^2-2 x+1\right), & \text { if } x \leq 0 \\ 2 x+1, & \text { if } x>0\end{array}\right.\) is continuous at \(x=0\) ?

Which one of the following disease is not caused by bacteria?