The value of Rydberg's constant is:

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

What is the unit of electric flux in terms of the base units of SI?

Match List I with List II

LIST I (Phenomenon)	LIST II (Scientists)
A.Dispersion of white light	I.Cassegrain
B.Reflecting type telescope	II.Huygens
C.Double slit experiment	III.Newton
D.Wavefront	IV.Thomas Young

Choose the correct answer from the options given below:

The effect on the interference fringes in young double slit experiment if width of the slit is increased.
(A) The interference pattern gets less and less sharp
(B) The interference pattern gets brighter
(C) The interference pattern may disappear, if, condition \( s/S \le \lambda/d \) is not satisfied. (s is size of source and S is its distance from two slits)
(D) The interference fringes becomes broad
(E) No effect on the interference pattern
Choose the correct answer from the options given below :

Two identical wires X and Y, each of length L carry the same current I. Wire X is bent to form a square of side a and wire Y is bent into a circle of radius R. If \( B_x \) and \( B_y \) are the values of the magnetic field at the centres of the square and the circle respectively, the ratio \( B_x : B_y \) is

A 25 cm long solenoid with 100 turns carries a current of 3 A. The flux density at the center of the solenoid 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 of the following technique is not very useful to detect the cancers of internal organs?

Read the following passage carefully and answer the given questions
The earthworm is referred to as the farmer's friend. This is because they help in the breakdown of complex organic matter as well as in loosening of soil. Similarly, decomposers break down complex organic matter into inorganic substances like carbon dioxide, water and nutrients and the process is called decomposition. Dead plant remains such as leaves, bark, flowers and dead remains of animals, including fecal matter, constitute detritus, which is the raw material for decomposition. Some of the steps in the process of decomposition are fragmentation, catabolism, leaching, humification etc.
The degradation of detritus into simpler inorganic substances by the bacterial and fungal enzymes is called as-

For the following probability distribution,

X	1	2	3	4
p(x)	\(\frac{1}{10}\)	\(\frac{1}{5}\)	\(\frac{3}{10}\)	\(\frac{2}{5}\)

The value of \(E\left(X^2\right)-[E(X)]^2\)

A wire carries a current of 2.0 A. The number of electrons crossing through its cross-section in 10 s will be

If both the number of turns and length of an inductor are tripled, keeping other factors constant, the self inductance of the inductor will be:

The differential coefficient of \(\log _e\left[\log _e\left(\log _e x^5\right)\right]\) with respect to \(x\) is: