Applied Mathematics
Which of the following are NOT correct about "Sinking Fund"?
(A) It does not have any specific purpose.
(B) It can be used in any emergency.
(C) Any amount, any time can be deposited in it.
(D) It is set up for a particular upcoming expense.
Choose the correct answer from the options given below:

The correct arrangement of electromagnetic spectrum in decreasing order of wavelength is :

The value of the definite integral \(\int_0^1 e^x \frac{(1-x)^2}{\left(1+x^2\right)^2} d x\) is :

The general solution of the differential equation \(x\left(1+y^2\right) d x+y\left(1+x^2\right) d y=0\) is

If the line \(\frac{-x+1}{3}=\frac{-y-2}{-2 k}=\frac{z+3}{2}\) and \(\frac{-1+x}{3 k}=\frac{-1+y}{1}=\frac{-z+6}{5}\) are perpendicular, then the value of \(k\) is :

If the function \(f(x)=\left\{\begin{array}{ll}\frac{\sin 3 x}{x}, & \text { if } x \neq 0 \\ \frac{3 k}{2}, & \text { if } x=0\end{array}\right.\) is continuous at \(x=0\), then the value of \(k\) is :

The integral \(\int \frac{2 d x}{e^{2 x}-1}\) is equal to:

Match List - I with List - II.

List - I (Organism)	List - II (Sex chromosomes)
(A) Male grasshopper	(I) XY
(B) Male Drosophila	(II) ZX
(C) Female bird	(III) XX
(D) Female grasshopper	(IV) XO
	(V) ZW

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A proton accelerated through potential difference V has de Broglie wavelength \(\lambda\). On doubling the potential, the de Broglie wavelength of the proton :

The magnitude of induced emf in a coil depends on the :

Read the following passage carefully and answer the given questions.
Immune System in the Body
The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The primary lymphoid organs are bone marrow and thymus where immature lymphocytes differentiate into antigen-sensitive lymphocytes. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells. The bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Hence, an antibody is represented as H2L2. Different types of antibodies are produced in our body. IgA, IgM, IgE, IgG are some of them. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs.
Maturation of lymphocytes takes place in:

Of the incident solar radiation, less than _______ of it is photosynthetically active radiation (PAR).

Match List-I With List-II

LISt – I (Solution)	LIST – II (Properties)
(A) Phenol and aniline	(I) Minimum boiling azeotrope
(B) Nitric acid and water	(II) Maximum boiling azeotrope
(C) Ethanol and water	(III) Hydrogen bonding
(D) Benzene and toluene	(IV) Ideal solution

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