Total internal reflection can take place only, if

Match List-I with List-II

LIST - I (Statement)	LIST - II (Energy band diagram)
(A) An intrinsic semiconductor at \(T =0 K\)	(I)
(B) An intrinsic semiconductor at \(T >0 K\) with thermally generated electron-hole pairs.	(II)
(C) Energy bands of n-type semiconductor at \(T >0 K\)	(III)
(D) Energy bands of p -type semiconductor at \(T >0 K\)	(IV)

Choose the correct answer from the options given below:

An electron accelerated with potential V has a de-Broglie wavelength \( \lambda \) associated with it. If the potential is changed to 4 V, the wavelength becomes

During the p-n junction formation, when an electron diffuses from n \( \rightarrow \) p, it leaves behind an :

The number of photoelectrons emitted from a metal surface for incident light of frequency \(\nu\) (higher than the threshold frequency \(\nu_0\)) is directly proportional to :

The Mutual inductance \(M _{12}\) of coil 1 with respect to coil 2-

Two particles x and y having equal charge, after being accelerated through the same potential difference, enter a region of a uniform magnetic field. They describe circular paths of radii \( R_1 \) and \( R_2 \), respectively. The ratio of the mass of x to that of y is:

Read the given passage and answer the question given below.
The sex linked recessive disease, which shows its transmission from unaffected carrier female to some of the male progeny has been widely studied. In this disease, a single protein that is a part of the cascade of proteins involved in the clotting of blood is affected. Due to this in an affected individual a simple cut will result in non-stop bleeding. The heterozygous female (carrier) for the disease may transmit it to sons. The possibility of a female becoming a sufferer of disease is extremely rare because mother of such a female has to be at least carrier and the father should be sufferer. The family pedigree of Queen Victoria shows a number of suffering descendents as she was a carrier of the disease.
Identify the genotype of queen Victoria. ('- gene for disorder)

The point which provides the optimal solution of the linear programming problem maximize \(z=21 x+35 y\)
\(\begin{array}{l}3 x+2 y \leq 30 \\4 x+5 y \leq 60 \\x \geq 0, y \geq 0\end{array}\)
has the coordinates

Read the following passage carefully and answer the given questions.
The B-lymphocytes produce an army of proteins in response to pathogens. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Virus-infected cells secrete proteins called interferons which protect non-infected cells from further viral infection. Symptoms of allergic reactions include sneezing, watery eyes, running nose and difficulty in breathing. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Lymphoid organs are the organs where origin and/or maturation and proliferation of lymphocytes occur. The primary lymphoid organs are bone marrow and thymus. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. Heroin commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine, which is extracted from the latex of poppy plant Papaver somniferum.
Which one of the followings drug does not reduce the symptoms of allergy quickly?

Match List - I with List - II.

List - I (Name of microorganism)	List - II (Chemical)
(A) Aspergillus niger	(I) Citric acid
(B) Acetobacter aceti	(II) Acetic acid
(C) Clostridium butylicum	(III) Butyric acid
(D) Lactobacillus	(IV) Lactic acid

Which of the following compounds can be used as antifreeze in automobile radiators?

\(\int_0^{\frac{\pi}{2}} \sin 2 x \log (\tan x) d x=\)