A 50 Hz AC current of crest 1 A flows through a transformer primary. With mutual inductance \(0 . 5 ~ H\), the crest voltage induced in secondary is :

If \(I=\int_0^\pi x \sin x d x\), then

If the function \(f(x)=\left\{\begin{array}{ll}\frac{k c e s}{\pi-2 \pi} & : x \neq \frac{\pi}{2} \\ 3 & : x=\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then \(k\) is equal to:

The value of the integral \(\int_0^\pi 2 x \sin ^3 x\ d x\) is:

A Linear Programming Problem (LPP) consists of which of the following components?
(A) Decision variables
(B) The graphical compliment
(C) The objective function
(D) The linear constraints
Choose the correct answer from the options given below :

If \(A\) is a square matrix of order 3 such that \(|A|=2\), then the value of \(|\operatorname{adj}(\operatorname{adj} A)|\) is :

A random variable X has the following probability distribution

X	2	3	4	5
P(X)	5/k	7/k	9/k	11/k

Then the value of \(\frac{k}{4}\) is

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. 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. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal.
Which one of the following is not the cellular barrier of innate immunity?

If the wavelength of an electromagnetic radiation is doubled, the energy of the photons would be

An equiconvex lens has a focal length\(\frac{2}{3}\) times the radius of curvature of either surface. The refractive index of the material of the lens is :

The dimension of magnetic induction can be written as

Which one of the followings is not the In situ conservation site ?

Match List I with List II.

LIST I	LIST II
A. Trichophyton	I. Typhoid
B. Rhino viruses	II. Pneumonia
C. Streptococcus	III. Common Cold
D. Salmonella	IV. Ringworm

Choose the correct answer from the options given below: